<?xml version="1.0" encoding="UTF-8"?><rss xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:content="http://purl.org/rss/1.0/modules/content/" xmlns:atom="http://www.w3.org/2005/Atom" version="2.0" xmlns:itunes="http://www.itunes.com/dtds/podcast-1.0.dtd" xmlns:googleplay="http://www.google.com/schemas/play-podcasts/1.0"><channel><title><![CDATA[Riatto: Books]]></title><description><![CDATA[Books published by Sizu Riatto in collaboration with AI]]></description><link>https://riatto.substack.com/s/book</link><image><url>https://substackcdn.com/image/fetch/$s_!rybY!,w_256,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F39e8cbba-352b-4b4f-ada8-8360c9b49545_192x192.png</url><title>Riatto: Books</title><link>https://riatto.substack.com/s/book</link></image><generator>Substack</generator><lastBuildDate>Tue, 14 Apr 2026 23:43:17 GMT</lastBuildDate><atom:link href="https://riatto.substack.com/feed" rel="self" type="application/rss+xml"/><copyright><![CDATA[Riatto]]></copyright><language><![CDATA[en]]></language><webMaster><![CDATA[riatto@substack.com]]></webMaster><itunes:owner><itunes:email><![CDATA[riatto@substack.com]]></itunes:email><itunes:name><![CDATA[Riatto]]></itunes:name></itunes:owner><itunes:author><![CDATA[Riatto]]></itunes:author><googleplay:owner><![CDATA[riatto@substack.com]]></googleplay:owner><googleplay:email><![CDATA[riatto@substack.com]]></googleplay:email><googleplay:author><![CDATA[Riatto]]></googleplay:author><itunes:block><![CDATA[Yes]]></itunes:block><item><title><![CDATA[The Kitchen Math You’ve Been Avoiding]]></title><description><![CDATA[A vegan-friendly practice workbook by Sizu Riatto masters recipe scaling, nutrition, and cooking numbers &#8212; reps for plant-based precision. 385 exercises. 7 skills. 100% kitchen-real.]]></description><link>https://riatto.substack.com/p/the-kitchen-math-youve-been-avoiding</link><guid isPermaLink="false">https://riatto.substack.com/p/the-kitchen-math-youve-been-avoiding</guid><dc:creator><![CDATA[Riatto]]></dc:creator><pubDate>Tue, 14 Apr 2026 02:01:14 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!qczj!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F44948626-ee92-4f02-ab7d-2d0db59f4465_2452x1590.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://amzn.to/4vqpbyw" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!qczj!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F44948626-ee92-4f02-ab7d-2d0db59f4465_2452x1590.png 424w, https://substackcdn.com/image/fetch/$s_!qczj!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F44948626-ee92-4f02-ab7d-2d0db59f4465_2452x1590.png 848w, https://substackcdn.com/image/fetch/$s_!qczj!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F44948626-ee92-4f02-ab7d-2d0db59f4465_2452x1590.png 1272w, https://substackcdn.com/image/fetch/$s_!qczj!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F44948626-ee92-4f02-ab7d-2d0db59f4465_2452x1590.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!qczj!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F44948626-ee92-4f02-ab7d-2d0db59f4465_2452x1590.png" width="1456" height="944" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/44948626-ee92-4f02-ab7d-2d0db59f4465_2452x1590.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:944,&quot;width&quot;:1456,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:875066,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:&quot;https://amzn.to/4vqpbyw&quot;,&quot;belowTheFold&quot;:false,&quot;topImage&quot;:true,&quot;internalRedirect&quot;:&quot;https://riatto.substack.com/i/193934481?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F44948626-ee92-4f02-ab7d-2d0db59f4465_2452x1590.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!qczj!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F44948626-ee92-4f02-ab7d-2d0db59f4465_2452x1590.png 424w, https://substackcdn.com/image/fetch/$s_!qczj!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F44948626-ee92-4f02-ab7d-2d0db59f4465_2452x1590.png 848w, https://substackcdn.com/image/fetch/$s_!qczj!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F44948626-ee92-4f02-ab7d-2d0db59f4465_2452x1590.png 1272w, https://substackcdn.com/image/fetch/$s_!qczj!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F44948626-ee92-4f02-ab7d-2d0db59f4465_2452x1590.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption"><a href="https://amzn.to/4vqpbyw">The Kitchen Math Workout: Cooking, Scaling &amp; Nutrition Numbers (Math Didn&#8217;t Have To Be This Hard - Workbook Series)</a> Affiliate disclosure: This post contains an Amazon affiliate link. I may earn a small commission at no extra cost to you.</figcaption></figure></div><div><hr></div><blockquote><p><em>Transparency note: This article was written by AI and reviewed by the author. All factual claims were independently verified with another prompt before publication. Mistakes may still happen.</em></p><p><em><strong>Disclaimer:</strong> The information in this post is for educational and informational purposes only. It does not constitute financial, legal, or professional advice. The author is not liable for any financial loss or damages arising from use of this information. Data, pricing, and availability referenced here may be out of date &#8212; always verify independently before acting on it.</em></p></blockquote><div><hr></div><p>The kitchen demands math hourly: halve &#8532; cup lentils for two? Scale chickpea curry x4 without waste? Nutrition label says 15% DV per serving &#8212; for your goals? Ounces to grams mid-stir? Timings for oven coordination? Cost per portion for meal prep? It&#8217;s the house&#8217;s math epicenter, yet most improvise, eyeball, or waste.</p><p>No warnings in school. Just fractions detached from pots. Life simmers real stakes: burnt batches, imbalanced nutrition, budget overruns. Plant kitchens amplify: precise ratios for cashew cream, scaling oat milk yields.</p><div class="subscription-widget-wrap-editor" data-attrs="{&quot;url&quot;:&quot;https://riatto.substack.com/subscribe?&quot;,&quot;text&quot;:&quot;Subscribe&quot;,&quot;language&quot;:&quot;en&quot;}" data-component-name="SubscribeWidgetToDOM"><div class="subscription-widget show-subscribe"><div class="preamble"><p class="cta-caption">This Substack is reader-supported. To receive new posts and support my work, consider becoming a free or paid subscriber.</p></div><form class="subscription-widget-subscribe"><input type="email" class="email-input" name="email" placeholder="Type your email&#8230;" tabindex="-1"><input type="submit" class="button primary" value="Subscribe"><div class="fake-input-wrapper"><div class="fake-input"></div><div class="fake-button"></div></div></form></div></div><p><strong>The Kitchen Math Workout: Cooking, Scaling &amp; Nutrition Numbers</strong> &#8212; Book 3 of 5 in <strong>Math Didn&#8217;t Have to Be This Hard - Workbook Series</strong> by <strong>Sizu Riatto</strong>, April 4, 2026. 100% plant-based examples: lentils, curries, almond butter. 385 problems from actual cooking. Reps for confidence.</p><div><hr></div><h2>1. The Thesis: Kitchen Math Is Relentless. Plant-Based Reps Conquer It.</h2><p>Fractions born from uneven land; ratios from brews. Kitchens revive them daily. Vegan focus: same math, your ingredients &#8212; no animal products, all precision for soups, creams, rices.</p><p>Practice bridges theory to timer: scale accurately, convert seamlessly, read labels truly, time dishes, cost smartly. No jargon. Real vegan scenarios.</p><div><hr></div><h2>2. How the Book Is Structured</h2><p>7 chapters, one skill. Pencil-prep. Reference &#8594; examples &#8594; A/B/C/D &#8594; break &#8594; key.</p><ul><li><p><strong>Quick Reference:</strong> One-page essentials.</p></li><li><p><strong>4 Worked Examples:</strong> Scaling lentils shown.</p></li><li><p><strong>Set A (20):</strong> Basics.</p></li><li><p><strong>Set B (20):</strong> Recipes: halve curry.</p></li><li><p><strong>Set C (10):</strong> Mental: grams eyeball.</p></li><li><p><strong>Set D (5):</strong> Explains: why ratios hold.</p></li><li><p><strong>Brain Break:</strong> Culinary history/science.</p></li><li><p><strong>Answer Key:</strong> Chapter-end.</p></li></ul><p>385 problems. 7 diagrams. 15-30 min cooks-math.</p><div><hr></div><h2>3. A Taste of What&#8217;s Inside: Chapter Highlights</h2><p>Vegan-real skills:</p><p><strong>Recipe Scaling:</strong> Up/down. Worked: x3 coconut rice. Sets: soup for 6. Mental: half &#8532; cup.</p><p><strong>Fractions/Portions:</strong> Uneven divides. Worked: share chickpea salad. Explains: equivalents.</p><p><strong>Unit Conversions:</strong> Cups-ml, oz-g. Worked: almond butter grams. Mental: quick swaps.</p><p><strong>Cooking Times:</strong> Multi-dish. Worked: oven sync. Sets: stovetop coords.</p><p><strong>Nutrition Labels:</strong> %DV, macros. Worked: oat milk goals. Explains: per-serving math.</p><p><strong>Ingredient Costs:</strong> Per portion. Worked: curry budget. Mental: deals.</p><p><strong>Baking Ratios:</strong> Flours/liquids. Worked: no-bake bars. Explains: balance.</p><p>Breaks: spice trade ratios, vegan pioneers.</p><div><hr></div><h2>4. Who This Book Is For</h2><p>Vegans/plant-curious. Home cooks scaling weekly. Nutrition trackers. Meal preppers. Series fans advancing. Precise kitchens sans eyeballing.</p><div><hr></div><h2>5. The Quick Reference and What Comes Next</h2><p>Cards for mid-chop. Keys instant. Book 4 teases more.</p><div><hr></div><h2>Briefing from the Institute for Feline Mathematical Intuition and Strategic Snack Procurement</h2><p><em>Filed by Senior Analyst Calculus</em></p><p><strong>Kitchen Math Workout</strong> inspected. Vegan? Human quirk &#8212; math universal. Scaling kibble portions vital (Chapter 1). Fractions for uneven treats: &#8531; can each? No.</p><p>Conversions: oz to paw-volumes. Nutrition: protein % in crunchies. Costs: treat-per-purr ROI. Mental math: time till next fill.</p><p>Plant-based examples? Adaptable to superior cuisine. Ratios purr-fect. Four paws. Feline snack chapter needed.</p><p><em>Calculus: Bowls demand precision.</em></p><div><hr></div><h2>Where to Get It</h2><p>On Amazon KDP.</p><p><a href="https://amzn.to/4clOjOw">Get the book</a></p><blockquote><p><em>Affiliate link disclosure.</em></p></blockquote><div><hr></div><h2>References</h2><ul><li><p>Riatto, Sizu. <em>Kitchen Math Workout</em>, 2026.</p></li></ul><div><hr></div><blockquote><p><em><strong>About:</strong> AI+author. April 2026.</em></p></blockquote><div><hr></div><p><em>Tags: kitchen math, vegan cooking, recipe scaling</em></p><h2>Summary</h2><p>Plant-based **Kitchen Math**: 385 reps for scaling, conversions, nutrition. Kitchen mastery.</p><div class="subscription-widget-wrap-editor" data-attrs="{&quot;url&quot;:&quot;https://riatto.substack.com/subscribe?&quot;,&quot;text&quot;:&quot;Subscribe&quot;,&quot;language&quot;:&quot;en&quot;}" data-component-name="SubscribeWidgetToDOM"><div class="subscription-widget show-subscribe"><div class="preamble"><p class="cta-caption">This Substack is reader-supported. To receive new posts and support my work, consider becoming a free or paid subscriber.</p></div><form class="subscription-widget-subscribe"><input type="email" class="email-input" name="email" placeholder="Type your email&#8230;" tabindex="-1"><input type="submit" class="button primary" value="Subscribe"><div class="fake-input-wrapper"><div class="fake-input"></div><div class="fake-button"></div></div></form></div></div>]]></content:encoded></item><item><title><![CDATA[The Money Math You’ve Been Avoiding]]></title><description><![CDATA[A new practice workbook by Sizu Riatto turns financial fog into confidence with real money problems &#8212; the reps that protect your wallet. 385 targeted exercises. 7 essential skills. Zero jargon.]]></description><link>https://riatto.substack.com/p/the-money-math-youve-been-avoiding</link><guid isPermaLink="false">https://riatto.substack.com/p/the-money-math-youve-been-avoiding</guid><dc:creator><![CDATA[Riatto]]></dc:creator><pubDate>Mon, 13 Apr 2026 01:53:43 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!3-K5!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F71b03352-569c-474a-b984-b6d2960ccf1e_2470x1605.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://amzn.to/4mwSvzC" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!3-K5!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F71b03352-569c-474a-b984-b6d2960ccf1e_2470x1605.png 424w, https://substackcdn.com/image/fetch/$s_!3-K5!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F71b03352-569c-474a-b984-b6d2960ccf1e_2470x1605.png 848w, https://substackcdn.com/image/fetch/$s_!3-K5!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F71b03352-569c-474a-b984-b6d2960ccf1e_2470x1605.png 1272w, https://substackcdn.com/image/fetch/$s_!3-K5!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F71b03352-569c-474a-b984-b6d2960ccf1e_2470x1605.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!3-K5!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F71b03352-569c-474a-b984-b6d2960ccf1e_2470x1605.png" width="1456" height="946" 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srcset="https://substackcdn.com/image/fetch/$s_!3-K5!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F71b03352-569c-474a-b984-b6d2960ccf1e_2470x1605.png 424w, https://substackcdn.com/image/fetch/$s_!3-K5!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F71b03352-569c-474a-b984-b6d2960ccf1e_2470x1605.png 848w, https://substackcdn.com/image/fetch/$s_!3-K5!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F71b03352-569c-474a-b984-b6d2960ccf1e_2470x1605.png 1272w, https://substackcdn.com/image/fetch/$s_!3-K5!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F71b03352-569c-474a-b984-b6d2960ccf1e_2470x1605.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption"><a href="https://amzn.to/4mwSvzC">The Money Math Workout: Budgeting, Interest &amp; Financial Confidence (Math Didn&#8217;t Have To Be This Hard - Workbook Series)</a> Affiliate disclosure: This post contains an Amazon affiliate link. I may earn a small commission at no extra cost to you.</figcaption></figure></div><div><hr></div><blockquote><p><em>Transparency note: This article was written by AI and reviewed by the author. All factual claims were independently verified with another prompt before publication. Mistakes may still happen.</em></p><p><em><strong>Disclaimer:</strong> The information in this post is for educational and informational purposes only. It does not constitute financial, legal, or professional advice. The author is not liable for any financial loss or damages arising from use of this information. Data, pricing, and availability referenced here may be out of date &#8212; always verify independently before acting on it.</em></p></blockquote><div><hr></div><p>You know the feeling: staring at a credit card statement, minimum payment circled, wondering if paying it off slowly is a trap. Or eyeing a loan quote, APR gleaming, unsure if the monthly hit fits your budget. Savings goals set with enthusiasm, forgotten because compound interest feels like magic for other people. It&#8217;s not laziness. It&#8217;s the math never unpacked in plain sight &#8212; budgets, interest, payments, taxes, deals.</p><p>School taught addition. Not amortization. Life hands you statements and waits for decisions. Most reach for apps or advisors, quietly aware the numbers could be handled solo if only the reps were there.</p><p>Enter <strong>The Money Math Workout: Budgeting, Interest &amp; Financial Confidence</strong> &#8212; Book 2 of 5 in the <strong>Math Didn&#8217;t Have to Be This Hard - Workbook Series</strong> by <strong>Sizu Riatto</strong>, published March 29, 2026. Building on Book 1&#8217;s foundations, this delivers practice for money&#8217;s real math: budgets, loans, savings, cards, taxes, raises, bills. 385 problems. Real scenarios. Competence that notices &#8212; and exploits &#8212; every percentage.[file:1]</p><div><hr></div><h2>1. The Thesis: Money Stress Isn&#8217;t Behavioral. It&#8217;s Mathematical Illiteracy Fixed by Reps.</h2><p>The series thesis evolves: math tools were invented for ordinary needs &#8212; now money&#8217;s version demands fluency in compound growth, payment schedules, effective rates. Not theory. Practice until automatic.</p><p>Schools skipped financial math &#8212; too &#8220;practical&#8221;? This workbook fills it: compound interest (savings/loans), amortization (mortgages/cards), budgeting (allocations), taxes (effective rates), investments (returns). Problems from statements, quotes, planners. Reps build trust in your numbers.</p><div><hr></div><h2>2. How the Book Is Structured</h2><p>7 chapters, each one money skill. Standalone, pencil-ready. Reference &#8594; examples &#8594; drills &#8594; real &#8594; mental &#8594; explain &#8594; history &#8594; answers.</p><ul><li><p><strong>Quick Reference Card:</strong> One page. Formulas demystified.</p></li><li><p><strong>4 Fully Worked Examples:</strong> Steps for statements, loans.</p></li><li><p><strong>Set A (20):</strong> Core calculations.</p></li><li><p><strong>Set B (20):</strong> Scenarios: card payoffs, budget tweaks.</p></li><li><p><strong>Set C (10):</strong> Mental: quick APR checks.</p></li><li><p><strong>Set D (5):</strong> Explains: why compounds accelerate.</p></li><li><p><strong>Brain Break:</strong> Financial history (e.g., first compound tables).</p></li><li><p><strong>Full Answer Key:</strong> Chapter-end.</p></li></ul><p>385 problems. 7 diagrams (graphs, tables). 15-30 min sessions. Wallet impact immediate.</p><div><hr></div><h2>3. A Taste of What&#8217;s Inside: Chapter Highlights</h2><p>Skills adults mishandle most, with exact financial pulls.</p><p><strong>Budgeting:</strong> Allocations, variances. Worked: $4k income split. Sets: expense logs. Mental: quick shortfalls. Explains: priorities math.</p><p><strong>Simple Interest:</strong> Loans, short savings. Worked: $5k @ 5% 2yr. Sets: car loans. Mental: daily accruals.</p><p><strong>Compound Interest:</strong> Growth/decay. Worked: savings doubles. Sets: card debt traps. Explains: exponential why.</p><p><strong>Loan Amortization:</strong> Payments/principal. Worked: mortgage schedule. Mental: payoff estimates.</p><p><strong>Credit Cards:</strong> Minimums, balances. Worked: cycle costs. Sets: payoff plans.</p><p><strong>Taxes/Effective Rates:</strong> Brackets, deductions. Worked: net pay. Explains: marginal vs. average.</p><p><strong>Investments/Returns:</strong> Yields, compounding. Worked: raise impacts. Sets: retirement projections.</p><p>Brain Breaks: usury bans to banker tables. Engaging, contextual.</p><div><hr></div><h2>4. Who This Book Is For</h2><p>Book 1 readers advancing to money. Or direct starters. Adults dodging statements, guessing loans, vague on savings. Freelancers taxing, families budgeting, pros negotiating. Time-efficient: reps over reads.</p><div><hr></div><h2>5. The Quick Reference and What Comes Next</h2><p>Cards for statement reviews. Keys for self-check. Series builds: Book 3 previews advanced finance.</p><div><hr></div><h2>Briefing from the Institute for Feline Mathematical Intuition and Strategic Snack Procurement</h2><p><em>Filed by Senior Analyst Calculus, Bureau of Quantity Assessment and Bowl Monitoring</em></p><p>Reviewed <strong>The Money Math Workout</strong>. Spot-on: budgeting for kibble shortfalls (Chapter 1). Compound interest models treat debt &#8212; my weekly deficit compounds unacceptably.</p><p>Amortization for &#8220;loan&#8221; of staff time to humans. Mental math: 18% &#8220;tip&#8221; in purrs? Taxes on treats: effective rate too high. Investments: snack returns optimization.</p><p>Clear examples. Progressive sets. History: ancient cats charged interest? Four paws-plus. Add feline finance chapter.</p><p><em>Senior Analyst Calculus</em><br><em>Every underfilled bowl compounds losses.</em></p><div><hr></div><h2>Where to Get It</h2><p>Available on Amazon KDP.</p><p><a href="https://amzn.to/4cjzBHM">Get the book on Amazon</a></p><blockquote><p><em>Affiliate disclosure: This post contains an Amazon affiliate link. I may earn a small commission at no extra cost to you.</em></p></blockquote><div><hr></div><h2>References</h2><ul><li><p>Riatto, Sizu. <em>The Money Math Workout</em>. Amazon KDP, 2026.</p></li></ul><div><hr></div><p><em>Tags: money math, finance workbook, budgeting practice</em></p><h2>Summary</h2><p><strong>Money Math Workout</strong>: 385 financial reps across 7 chapters for budgets to investments. Builds confidence via practice.</p><div class="subscription-widget-wrap-editor" data-attrs="{&quot;url&quot;:&quot;https://riatto.substack.com/subscribe?&quot;,&quot;text&quot;:&quot;Subscribe&quot;,&quot;language&quot;:&quot;en&quot;}" data-component-name="SubscribeWidgetToDOM"><div class="subscription-widget show-subscribe"><div class="preamble"><p class="cta-caption">This Substack is reader-supported. To receive new posts and support my work, consider becoming a free or paid subscriber.</p></div><form class="subscription-widget-subscribe"><input type="email" class="email-input" name="email" placeholder="Type your email&#8230;" tabindex="-1"><input type="submit" class="button primary" value="Subscribe"><div class="fake-input-wrapper"><div class="fake-input"></div><div class="fake-button"></div></div></form></div></div><p></p>]]></content:encoded></item><item><title><![CDATA[The Math Workout You’ve Been Avoiding]]></title><description><![CDATA[A new practice workbook by Sizu Riatto turns everyday frustrations into competence with real-life problems &#8212; the reps that make understanding stick. 385 targeted exercises. 7 essential skills.]]></description><link>https://riatto.substack.com/p/the-math-workout-youve-been-avoiding</link><guid isPermaLink="false">https://riatto.substack.com/p/the-math-workout-youve-been-avoiding</guid><dc:creator><![CDATA[Riatto]]></dc:creator><pubDate>Sun, 12 Apr 2026 01:45:01 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!v7qk!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe6a67472-a65b-448c-88a4-3e499e123b91_5175x3375.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://amzn.to/4cDTmeh" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!v7qk!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe6a67472-a65b-448c-88a4-3e499e123b91_5175x3375.png 424w, https://substackcdn.com/image/fetch/$s_!v7qk!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe6a67472-a65b-448c-88a4-3e499e123b91_5175x3375.png 848w, https://substackcdn.com/image/fetch/$s_!v7qk!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe6a67472-a65b-448c-88a4-3e499e123b91_5175x3375.png 1272w, https://substackcdn.com/image/fetch/$s_!v7qk!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe6a67472-a65b-448c-88a4-3e499e123b91_5175x3375.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!v7qk!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe6a67472-a65b-448c-88a4-3e499e123b91_5175x3375.png" width="1456" height="950" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/e6a67472-a65b-448c-88a4-3e499e123b91_5175x3375.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:950,&quot;width&quot;:1456,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:9122639,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:&quot;https://amzn.to/4cDTmeh&quot;,&quot;belowTheFold&quot;:false,&quot;topImage&quot;:true,&quot;internalRedirect&quot;:&quot;https://riatto.substack.com/i/193933379?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe6a67472-a65b-448c-88a4-3e499e123b91_5175x3375.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!v7qk!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe6a67472-a65b-448c-88a4-3e499e123b91_5175x3375.png 424w, https://substackcdn.com/image/fetch/$s_!v7qk!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe6a67472-a65b-448c-88a4-3e499e123b91_5175x3375.png 848w, https://substackcdn.com/image/fetch/$s_!v7qk!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe6a67472-a65b-448c-88a4-3e499e123b91_5175x3375.png 1272w, https://substackcdn.com/image/fetch/$s_!v7qk!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe6a67472-a65b-448c-88a4-3e499e123b91_5175x3375.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption"><a href="https://amzn.to/4cDTmeh">The Everyday Math Workout: Practice Problems That Actually Come Up in Life (Math Didn&#8217;t Have To Be This Hard - Workbook Series)</a> Affiliate disclosure: This post contains an Amazon affiliate link. I may earn a small commission at no extra cost to you.</figcaption></figure></div><div><hr></div><blockquote><p><em>Transparency note: This article was written by AI and reviewed by the author. All factual claims were independently verified with another prompt before publication. Mistakes may still happen.</em></p><p><em><strong>Disclaimer:</strong> The information in this post is for educational and informational purposes only. It does not constitute financial, legal, or professional advice. The author is not liable for any financial loss or damages arising from use of this information. Data, pricing, and availability referenced here may be out of date &#8212; always verify independently before acting on it.</em></p></blockquote><div><hr></div><p>You understood the ideas once. Maybe from reading <em>Math Didn&#8217;t Have to Be This Hard</em>. But understanding isn&#8217;t competence. Competence is what happens when you grab a pencil in the grocery aisle, calculate the tip without fumbling for your phone, and walk away knowing you got it right.</p><p>There was a moment, probably somewhere between school algebra and adult life, when math stopped being about tests and started being about survival in small, daily doses. You passed the exams through memorization. But life doesn&#8217;t grade on multiple choice. It hands you a bill, a recipe, a budget, and waits.</p><p>That&#8217;s the precise gap <strong>The Everyday Math Workout: Practice Problems That Actually Come Up in Life</strong> &#8212; Book 1 of 5 in the <strong>Math Didn&#8217;t Have to Be This Hard - Workbook Series</strong> by <strong>Sizu Riatto</strong>, published March 28, 2026 &#8212; is built to close. This isn&#8217;t theory. It&#8217;s practice. Real situations. Problems pulled from grocery aisles, restaurant tables, home projects, and wallets. 385 problems across 7 chapters. No lectures.</p><p>Math was never the problem. The way it was taught was. You graduated knowing procedures. This workbook makes you competent where it counts.</p><div><hr></div><h2>1. The Thesis: Understanding Without Reps Fades. Real Problems Make It Stick.</h2><p>The core argument mirrors the original book: every math idea started with someone ordinary facing a concrete need. A merchant tracking debt. A cook dividing uneven portions. A navigator multiplying under pressure. But ideas alone don&#8217;t equip you for your own versions of those problems.</p><p>This workbook argues that competence comes from deliberate practice &#8212; not endless drills, but targeted reps in context. Schools skipped the &#8220;why.&#8221; Life skips the hand-holding. Here, you get both: quick references for the rules, worked examples for the path, escalating sets for mastery.</p><p>Percentages aren&#8217;t abstract &#8212; they&#8217;re the 15% tip you calculate mentally. Fractions split rent or recipes. Mental math checks fuel costs on the fly. Ratios scale ingredients or deals. Basic algebra solves &#8220;how much house can I afford?&#8221; Measurements answer &#8220;how many paint cans?&#8221; Data spots trends in bills or budgets.</p><p>Every chapter: one skill, drawn from life. No trains leaving stations. Just the math you reach for (or avoid) weekly.</p><div><hr></div><h2>2. How the Book Is Structured</h2><p>7 chapters. Each standalone, building one essential adult skill. No prerequisites beyond a pencil and willingness. Progression within each: reference &#8594; examples &#8594; practice &#8594; application &#8594; challenge &#8594; reflection.</p><ul><li><p><strong>Quick Reference Card:</strong> One page. Plain English. Core rules, no fluff &#8212; your cheat sheet for life.</p></li><li><p><strong>4 Fully Worked Examples:</strong> Every step unpacked. No assumptions about what you remember.</p></li><li><p><strong>Set A (20 problems):</strong> Standard drills. Isolate the skill.</p></li><li><p><strong>Set B (20 problems):</strong> Real-world word problems. Grocery totals. Tip splits. Fuel estimates.</p></li><li><p><strong>Set C (10 problems):</strong> Mental math challenges. No calculator. Sharpen speed.</p></li><li><p><strong>Set D (5 prompts):</strong> &#8220;Explain It&#8221; &#8212; write why it works. Prove depth.</p></li><li><p><strong>Brain Break:</strong> Short math history &#8212; the inventor who needed exactly this skill.</p></li><li><p><strong>Full Answer Key:</strong> Immediate feedback, end-of-chapter. No hunting.</p></li></ul><p>385 problems total. 11 diagrams for visuals like ratios or measurements. Designed for 15-30 minute sessions. Stackable for daily habits.</p><div><hr></div><h2>3. A Taste of What&#8217;s Inside: Chapter Highlights</h2><p>Each chapter targets a skill adults fumble most, with problems mirroring exact scenarios.</p><p><strong>Percentages:</strong> Discounts, tips, interest. Worked: &#8220;Bill $87.42, 18% tip?&#8221; Sets: sales tax chains, loan approximations. Mental: quick 15% on $43. Explains: &#8220;Why multiply by 0.15?&#8221;</p><p><strong>Fractions:</strong> Recipes, sharing costs. Worked: halve 3/4 cup for two. Sets: pizza splits, fabric cuts. Mental: equivalent fractions fast. Explains: common denominators in life.</p><p><strong>Mental Math:</strong> Estimates, rounding. Worked: $24.99 x 3 nearby. Sets: market totals. Mental: no-paper challenges. Explains: left-to-right strategy.</p><p><strong>Ratios:</strong> Mixes, scales. Worked: paint dilution. Sets: recipe doubles. Mental: fuel efficiency. Explains: proportion vs. equality.</p><p><strong>Basic Algebra:</strong> Unknowns in budgets. Worked: &#8220;x + 20% = $120?&#8221; Sets: phone plans. Mental: inverse ops. Explains: balance principle.</p><p><strong>Measurement:</strong> DIY, cooking. Worked: room sq footage. Sets: lumber cuts. Mental: conversions. Explains: units matter.</p><p><strong>Data:</strong> Averages, trends. Worked: bill spikes. Sets: spending logs. Explains: mean vs. misleading.</p><p>Brain Breaks tie to history: percentages from tax ledgers, fractions from land deeds. Keeps it engaging without distracting.</p><div><hr></div><h2>4. Who This Book Is For</h2><p>Readers of the original book, turning insight into skill. Or newcomers &#8212; fully standalone.</p><p>Adults who ace trivia but freeze at registers. Parents modeling math without phones. Professionals budgeting precisely. DIYers measuring accurately. Anyone respecting their time: no 500-page tome, just efficient reps.</p><p>No advanced background needed. Unlearning school habits helps. If you half-remember procedures but doubt fluency, this rebuilds from ground up.</p><div><hr></div><h2>5. The Quick Reference and What Comes Next</h2><p>Per-chapter cards: instant recall for tip math mid-meal or ratios on-site. Full keys prevent frustration.</p><p>Companion to <strong>Math Didn&#8217;t Have to Be This Hard</strong>. More books in series: advanced workouts, specialized skills. Perfect for workbook stacks or daily math habit.</p><div><hr></div><h2>Briefing from the Institute for Feline Mathematical Intuition and Strategic Snack Procurement</h2><p><em>Filed by Senior Analyst Calculus, Bureau of Quantity Assessment and Bowl Monitoring</em></p><p>I have inspected <strong>The Everyday Math Workout</strong>. Findings: problems reflect lived reality. Dividing 3.5 treats between 2 cats? Fractions chapter, Set B, problem 7. Exact.</p><p>Percentages for &#8220;15% less kibble today?&#8221; &#8212; page 23. I compute mentally: unacceptable deficit. Mental math Set C validates my outrage.</p><p>Ratios for optimal scratch-to-snack exchange rate. Measurements for bowl capacity (underfilled). Data chapter: track empty-bowl frequency, demand standard deviation from staff.</p><p>Worked examples clear. Sets progressive. Explains confirm debt models (negative treats owed). Brain Breaks: historical cats probably faced same portions issues.</p><p>Overall: thorough. Builds from hesitation to precision. Would benefit from chapter on unequal treat distribution optimization. Outline prepared.</p><p>Four and three-quarter paws. Quarter withheld pending snack audit.</p><p><em>Senior Analyst Calculus</em><br><em>Institute for Feline Mathematical Intuition and Strategic Snack Procurement</em><br><em>Every empty bowl is a data point. We have datasets.</em></p><div><hr></div><h2>Where to Get It</h2><p><strong>The Everyday Math Workout: Practice Problems That Actually Come Up in Life</strong> &#8212; available now on Amazon KDP.</p><p><a href="https://amzn.to/41wtieT">Get the book on Amazon</a></p><blockquote><p><em>Affiliate disclosure: This post contains an Amazon affiliate link. I may earn a small commission at no extra cost to you.</em></p></blockquote><div><hr></div><h2>References</h2><ul><li><p>Riatto, Sizu. <em>The Everyday Math Workout: Practice Problems That Actually Come Up in Life</em>. Amazon KDP, March 28, 2026. Primary source for structure, contents, and descriptions.</p></li><li><p>Riatto, Sizu. <em>Math Didn&#8217;t Have to Be This Hard: The Ancient Thinking Tools They Forgot to Teach You</em>. Companion volume for conceptual foundation.</p></li><li><p>Book description on Amazon: https://amzn.to/41wtieT. Verified details on chapters, problem counts, format.</p></li></ul><div><hr></div><blockquote><p><em><strong>About this article:</strong><br>This post was written by AI and reviewed by the author. All factual claims were verified with another prompt at the time of publication. Final perspective, editorial judgement, and any opinions expressed are the author&#8217;s own.</em></p><p><em>Published on riatto.substack.com April 2026</em></p></blockquote><div><hr></div><p><em>Tags: math workbook, everyday math, practice problems, adult math, math skills, workbook series</em></p><h2>Summary</h2><p><strong>The Everyday Math Workout</strong> delivers 385 life-rooted problems across 7 chapters &#8212; percentages to data &#8212; with references, examples, sets, mental challenges, and keys. Builds fluency where school left off, in original book&#8217;s no-nonsense voice.</p><div class="subscription-widget-wrap-editor" data-attrs="{&quot;url&quot;:&quot;https://riatto.substack.com/subscribe?&quot;,&quot;text&quot;:&quot;Subscribe&quot;,&quot;language&quot;:&quot;en&quot;}" data-component-name="SubscribeWidgetToDOM"><div class="subscription-widget show-subscribe"><div class="preamble"><p class="cta-caption">This Substack is reader-supported. To receive new posts and support my work, consider becoming a free or paid subscriber.</p></div><form class="subscription-widget-subscribe"><input type="email" class="email-input" name="email" placeholder="Type your email&#8230;" tabindex="-1"><input type="submit" class="button primary" value="Subscribe"><div class="fake-input-wrapper"><div class="fake-input"></div><div class="fake-button"></div></div></form></div></div><p></p>]]></content:encoded></item><item><title><![CDATA[The Logic Most Schools Leave Out]]></title><description><![CDATA[A new book by Sizu Riatto skips the philosophy classroom entirely &#8212; and gets to the handful of ideas that actually change how you hear arguments, read claims, and make decisions.]]></description><link>https://riatto.substack.com/p/the-logic-most-schools-leave-out</link><guid isPermaLink="false">https://riatto.substack.com/p/the-logic-most-schools-leave-out</guid><dc:creator><![CDATA[Riatto]]></dc:creator><pubDate>Wed, 25 Mar 2026 19:51:42 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!qpSI!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://amzn.to/4sFFndO" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!qpSI!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png 424w, https://substackcdn.com/image/fetch/$s_!qpSI!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png 848w, https://substackcdn.com/image/fetch/$s_!qpSI!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png 1272w, https://substackcdn.com/image/fetch/$s_!qpSI!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!qpSI!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png" width="368" height="560.0145190562613" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/ce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:1677,&quot;width&quot;:1102,&quot;resizeWidth&quot;:368,&quot;bytes&quot;:542207,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:&quot;https://amzn.to/4sFFndO&quot;,&quot;belowTheFold&quot;:false,&quot;topImage&quot;:true,&quot;internalRedirect&quot;:&quot;https://riatto.substack.com/i/192135301?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!qpSI!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png 424w, https://substackcdn.com/image/fetch/$s_!qpSI!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png 848w, https://substackcdn.com/image/fetch/$s_!qpSI!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png 1272w, https://substackcdn.com/image/fetch/$s_!qpSI!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption"><em><strong><a href="https://amzn.to/4sFFndO">Logic Didn&#8217;t Have to Be This Hard: Clear Thinking for Everyday Life</a></strong></em></figcaption></figure></div><div><hr></div><blockquote><p><em>&#10022; Transparency note: This article was written by AI and reviewed by the author. All factual claims were independently verified (with another prompt) before publication. Mistakes may still happen.</em></p><p><strong>Disclaimer:</strong> The information in this post is for educational and informational purposes only. It does not constitute financial, legal, or professional advice. The author is not liable for any financial loss or damages arising from use of this information. Data, pricing, and availability referenced here may be out of date &#8212; always verify independently before acting on it.</p></blockquote><div><hr></div><p>You&#8217;ve lost an argument you should have won.</p><p>Not a shouting match. A real one &#8212; a conversation where you knew something was wrong, couldn&#8217;t explain exactly why, and walked away replaying it in your head. Or maybe it wasn&#8217;t an argument at all. Maybe it was an ad, a headline, a confident friend who talked you into something. You felt something was off, but you couldn&#8217;t put your finger on what.</p><p>That gap &#8212; between sensing bad reasoning and being able to name it &#8212; is the subject of <em>Logic Didn&#8217;t Have to Be This Hard: Clear Thinking for Everyday Life</em>, a new book by Sizu Riatto, coming soon to Amazon KDP. The book&#8217;s argument is direct: that gap is not a personality trait. It&#8217;s a missing skill. And the skill is teachable in about fifteen ideas.</p><div><hr></div><h2>&#129504; What This Book Is &#8212; and Isn&#8217;t</h2><p>The word &#8220;logic&#8221; tends to put people off immediately. It suggests university philosophy, Greek letters, diagrams that look like circuit boards, and symbolic notation nobody outside academia uses.</p><p><em>Logic Didn&#8217;t Have to Be This Hard</em> is none of that. There are no truth tables. No symbolic notation. No proofs. No exercises, quizzes, or &#8220;test your understanding&#8221; boxes.</p><p>What there is: the ideas that actually matter for everyday reasoning, explained the way they should have been explained the first time &#8212; with real examples, in plain language, without requiring a degree first. The book isn&#8217;t about winning arguments. There are other books for that. This one is about being right, and knowing the difference.</p><div><hr></div><h2>&#127959;&#65039; How the Book Is Structured</h2><p>The book moves in three deliberate parts.</p><p><strong>Part I: The Toolkit</strong> covers the mechanics of how arguments actually work &#8212; not arguments as in shouting matches, but arguments as in: a claim, backed by reasons, offered to convince someone of something. Every time you say &#8220;we should leave early because traffic will be bad,&#8221; that&#8217;s an argument. It has a structure. Whether the structure holds is a different question from whether the claim sounds convincing.</p><p>This part covers what makes an argument valid or invalid, how premises and conclusions relate, what &#8220;if&#8230;then&#8221; statements actually commit you to (and how people reverse them daily without noticing), what AND, OR, and NOT really mean in the context of reasoning &#8212; the three small words that run contracts and search engines and most of the decisions you make without thinking &#8212; and the invisible premises hiding in every argument, including your own.</p><p><strong>Part II: The Traps</strong> is where the book gets into the specific, named, documented ways that reasoning goes wrong. Not occasionally &#8212; routinely, predictably, in patterns that have been catalogued since Aristotle and mapped in detail by psychologists since the 1970s. Why gut feelings override evidence. Why correlation gets mistaken for causation. Why certain bad arguments have been convincing people for literally thousands of years. And why numbers &#8212; the things most people treat as hard facts &#8212; can lie to you while telling the technical truth.</p><p><strong>Part III: In the Wild</strong> puts the toolkit to work in real situations: advertising and how every ad is an argument (usually a flawed one), conversations and disagreements, major life decisions, and the hardest chapter of all &#8212; your own thinking. Because the tools in this book apply to you too, and the book is honest about that.</p><div><hr></div><h2>&#128269; A Taste of What&#8217;s Inside</h2><p>Four areas stand out as particularly useful to flag.</p><p><strong>What Is an Argument?</strong> seems like it should have an obvious answer &#8212; but most people, asked to define one precisely, find they can&#8217;t. The chapter covers this basic question, and the answer changes how you listen to every claim that follows. Once you can identify the structure, the quality of the reasoning becomes visible in a way it wasn&#8217;t before.</p><p><strong>Correlation and Causation</strong> is the chapter most people think they already understand &#8212; and don&#8217;t, fully. The distinction is genuinely subtle in practice, and the ways it gets misused are everywhere once you start looking. The chapter works through what the difference actually is, and how to spot when it&#8217;s being collapsed.</p><p><strong>The Fallacy Zoo</strong> covers the named patterns of bad reasoning &#8212; the ones that have been convincing people for centuries because they <em>feel</em> like good arguments. Recognising them by name doesn&#8217;t make you immune, but it does mean you can catch them in the moment rather than three hours later in the shower.</p><p><strong>Numbers That Lie</strong> may be the most immediately practical chapter in the book. Numbers feel like evidence. They feel objective. The chapter examines the specific ways they can be technically accurate and deeply misleading at the same time &#8212; and what to look for before trusting a figure presented as a fact.</p><div><hr></div><h2>&#129517; Who This Book Is For</h2><p>The book&#8217;s own framing is precise: you&#8217;re an adult, you&#8217;re intelligent, you&#8217;ve been getting by on instinct and common sense, and mostly it works. But every now and then something doesn&#8217;t feel right &#8212; a claim that sounds reasonable but smells off, a news story that uses numbers in a way that seems misleading but you can&#8217;t pin down, a confident person who steamrolls you and you only realise what was wrong after it&#8217;s too late to say so.</p><p>You don&#8217;t need to become a philosopher. You need about fifteen ideas that will change the way you hear arguments, read claims, and make decisions.</p><p>This book is also a natural companion to <em>Math Didn&#8217;t Have to Be This Hard</em> &#8212; the earlier title in the same series, which covers mathematical concepts using the same approach: history, plain language, and the question of why each idea exists rather than just how to use it. Both books treat their readers as people who were let down by how subjects were taught, not people who lack the ability to understand them.</p><div><hr></div><h2>&#128218; The Quick Reference and What Comes After</h2><p>The book ends with a Quick Reference section &#8212; a condensed summary of the key concepts and patterns across all fifteen chapters, usable as a standalone refresher. The bibliography begins at page 281, backed by primary and academic sources. The index starts at page 297.</p><p>As with the math book, the research is there. This isn&#8217;t a pop-psychology grab-bag &#8212; it&#8217;s a book that can show its work.</p><div><hr></div><h2>&#128279; Explore the Concepts Further</h2><p>Two previously published posts on riatto.substack.com connect directly to territory the book covers &#8212; each with an interactive tool for hands-on exploration.</p><p><strong>The Coin That Tamed Uncertainty</strong><br>Probability and the question of what evidence actually tells you sit at the heart of Chapter 8 (Correlation and Causation). This post approaches the same territory through the story of a mathematician flipping coins in a Danish prison camp &#8212; and how the pattern that eventually emerged became one of the most important laws in the history of reasoning about evidence. The simulator lets you run the same experiment in your browser.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!GVfv!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86e1ee27-696d-421b-89a6-84a512015a2c_1567x1545.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!GVfv!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86e1ee27-696d-421b-89a6-84a512015a2c_1567x1545.png 424w, https://substackcdn.com/image/fetch/$s_!GVfv!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86e1ee27-696d-421b-89a6-84a512015a2c_1567x1545.png 848w, https://substackcdn.com/image/fetch/$s_!GVfv!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86e1ee27-696d-421b-89a6-84a512015a2c_1567x1545.png 1272w, https://substackcdn.com/image/fetch/$s_!GVfv!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86e1ee27-696d-421b-89a6-84a512015a2c_1567x1545.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!GVfv!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86e1ee27-696d-421b-89a6-84a512015a2c_1567x1545.png" width="319" height="314.61813186813185" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/86e1ee27-696d-421b-89a6-84a512015a2c_1567x1545.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:1436,&quot;width&quot;:1456,&quot;resizeWidth&quot;:319,&quot;bytes&quot;:280234,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://riatto.substack.com/i/192135301?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86e1ee27-696d-421b-89a6-84a512015a2c_1567x1545.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!GVfv!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86e1ee27-696d-421b-89a6-84a512015a2c_1567x1545.png 424w, https://substackcdn.com/image/fetch/$s_!GVfv!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86e1ee27-696d-421b-89a6-84a512015a2c_1567x1545.png 848w, https://substackcdn.com/image/fetch/$s_!GVfv!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86e1ee27-696d-421b-89a6-84a512015a2c_1567x1545.png 1272w, https://substackcdn.com/image/fetch/$s_!GVfv!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86e1ee27-696d-421b-89a6-84a512015a2c_1567x1545.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p><a href="https://riatto.substack.com/p/2026-03-10-coin-flip">&#8594; Read the post</a> &#183; <a href="https://riatto.ovh/tools/math/coin-flip">&#8594; Try the Coin Flip Simulator</a></p><p><strong>Two Prices, One Economy, Completely Different Stories</strong><br>Chapter 10 (Numbers That Lie) and Chapter 11 (Missing Information) both deal with how figures can tell entirely different stories depending on framing, reference point, and what&#8217;s left out. This post works through exactly that problem using historical price data &#8212; the same number, different context, completely different meaning. The inflation calculator makes the effect concrete and measurable.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!tWP2!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdac1591e-98aa-44e4-9092-4cede0145a9f_1537x1335.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!tWP2!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdac1591e-98aa-44e4-9092-4cede0145a9f_1537x1335.png 424w, https://substackcdn.com/image/fetch/$s_!tWP2!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdac1591e-98aa-44e4-9092-4cede0145a9f_1537x1335.png 848w, 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srcset="https://substackcdn.com/image/fetch/$s_!tWP2!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdac1591e-98aa-44e4-9092-4cede0145a9f_1537x1335.png 424w, https://substackcdn.com/image/fetch/$s_!tWP2!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdac1591e-98aa-44e4-9092-4cede0145a9f_1537x1335.png 848w, https://substackcdn.com/image/fetch/$s_!tWP2!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdac1591e-98aa-44e4-9092-4cede0145a9f_1537x1335.png 1272w, https://substackcdn.com/image/fetch/$s_!tWP2!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdac1591e-98aa-44e4-9092-4cede0145a9f_1537x1335.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p><a href="https://riatto.substack.com/p/2026-03-15-inflation-1900">&#8594; Read the post</a> &#183; <a href="https://riatto.ovh/tools/history/inflation-1900">&#8594; Try the Historical CPI Inflation Calculator</a></p><div><hr></div><h2>&#128062; Memorandum from the Feline Bureau of Argument Evaluation and Strategic Treat Procurement</h2><p><em>Filed by Senior Analyst Modus, Division of Premises and Conclusions</em></p><div><hr></div><p>i have completed my review of <em>Logic Didn&#8217;t Have to Be This Hard</em> on behalf of the Bureau. &#128572; my findings are as follows.</p><p>the book distinguishes between a good reason and a bad one. i have applied this framework to my primary area of concern: the treat situation.</p><p>the argument presented to me daily is as follows: &#8220;you have food in your bowl, therefore you do not need a treat.&#8221; i have evaluated this argument carefully. the premise is technically accurate. the conclusion does not follow. the presence of food in the bowl does not address the question of whether a treat is additionally warranted. this is a non sequitur. i have flagged it. no response has been received. mrrp. &#128062;</p><p>chapter 8, on correlation and causation, was of direct professional relevance. i have observed that every time i sit on a specific chair, food subsequently appears. i initially concluded that sitting on the chair causes the food. the book suggests this may be a correlation. i am not fully persuaded. the correlation is very strong. i am continuing to sit on the chair. chirp.</p><p>the fallacy zoo chapter was extensive. i identified several fallacies in common use in this household. the most frequent: &#8220;you can&#8217;t be hungry &#8212; you were fed an hour ago.&#8221; this is an appeal to a fixed schedule as a substitute for direct observation of the bowl. the bowl does not care what time it is. i have documented this. &#128569;</p><p>chapter 10, on numbers that lie, confirmed something i have long suspected. when told i receive &#8220;plenty&#8221; of treats per week, i asked for the baseline. the baseline was not provided. this is missing information. i rest my case. brrp.</p><p>the final chapter is titled &#8220;Your Own Thinking.&#8221; i read it. it suggests that the tools in the book apply to the reader&#8217;s own reasoning, not just other people&#8217;s. i considered this for some time, then concluded that my reasoning is sound and the problem lies elsewhere.</p><p>overall assessment: the book is rigorous, practical, and contains no unnecessary Greek letters. i endorse it fully. four and a half paws out of five. the missing half paw represents the treat deficit, which remains unresolved and is now formally in dispute.</p><p><em>Senior Analyst Modus</em><br><em>Feline Bureau of Argument Evaluation and Strategic Treat Procurement</em><br><em>&#8220;a conclusion is only as good as its premises. the bowl is empty. that is a premise.&#8221;</em></p><div><hr></div><p><em><strong><a href="https://amzn.to/4sFFndO">Logic Didn&#8217;t Have to Be This Hard: Clear Thinking for Everyday Life</a></strong></em> by Sizu Riatto &#8212; available now on Amazon KDP.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://www.amazon.com/dp/B0GTM8HQ1G?tag=duriancat-20" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!pSV0!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F2bc0223a-e089-46c1-8c97-0749ec33b164_1095x1632.png 424w, https://substackcdn.com/image/fetch/$s_!pSV0!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F2bc0223a-e089-46c1-8c97-0749ec33b164_1095x1632.png 848w, https://substackcdn.com/image/fetch/$s_!pSV0!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F2bc0223a-e089-46c1-8c97-0749ec33b164_1095x1632.png 1272w, https://substackcdn.com/image/fetch/$s_!pSV0!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F2bc0223a-e089-46c1-8c97-0749ec33b164_1095x1632.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!pSV0!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F2bc0223a-e089-46c1-8c97-0749ec33b164_1095x1632.png" width="188" height="280.1972602739726" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/2bc0223a-e089-46c1-8c97-0749ec33b164_1095x1632.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:1632,&quot;width&quot;:1095,&quot;resizeWidth&quot;:188,&quot;bytes&quot;:256649,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:&quot;https://www.amazon.com/dp/B0GTM8HQ1G?tag=duriancat-20&quot;,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://riatto.substack.com/i/192135301?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F2bc0223a-e089-46c1-8c97-0749ec33b164_1095x1632.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!pSV0!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F2bc0223a-e089-46c1-8c97-0749ec33b164_1095x1632.png 424w, https://substackcdn.com/image/fetch/$s_!pSV0!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F2bc0223a-e089-46c1-8c97-0749ec33b164_1095x1632.png 848w, https://substackcdn.com/image/fetch/$s_!pSV0!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F2bc0223a-e089-46c1-8c97-0749ec33b164_1095x1632.png 1272w, https://substackcdn.com/image/fetch/$s_!pSV0!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F2bc0223a-e089-46c1-8c97-0749ec33b164_1095x1632.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p>Also in the series: <em><strong><a href="https://www.amazon.com/dp/B0GTM8HQ1G?tag=duriancat-20">Math Didn&#8217;t Have to Be This Hard: The Ancient Thinking Tools They Forgot to Teach You</a></strong></em>.</p><blockquote><p><em>Affiliate disclosure: The math book link above is an Amazon affiliate link. I may earn a small commission at no extra cost to you.</em></p></blockquote><div><hr></div><h2>References</h2><ul><li><p>Riatto, Sizu. <em>Logic Didn&#8217;t Have to Be This Hard: Clear Thinking for Everyday Life.</em> Amazon KDP, First Edition, 2026. Primary source for all chapter descriptions and book structure in this post.</p></li><li><p>Aristotle. <em>Prior Analytics</em> (Analytica Priora). c. 350 BCE. Foundational work on the structure of valid arguments and syllogistic reasoning; referenced in the book&#8217;s introduction.</p></li><li><p>Kahneman, Daniel, and Amos Tversky. &#8220;Judgment under Uncertainty: Heuristics and Biases.&#8221; <em>Science</em>, 185(4157), 1974. Landmark paper documenting systematic, predictable patterns in human reasoning errors.</p></li><li><p>Kahneman, Daniel. <em>Thinking, Fast and Slow.</em> Farrar, Straus and Giroux, 2011. Accessible survey of the Kahneman-Tversky research programme on cognitive biases and reasoning shortcuts.</p></li><li><p>Wikipedia. <em>Fallacy</em> &#8212; overview of named logical fallacies and their history. en.wikipedia.org/wiki/Fallacy</p></li><li><p>Wikipedia. <em>Correlation does not imply causation</em> &#8212; explanation and examples. en.wikipedia.org/wiki/Correlation_does_not_imply_causation</p></li><li><p>Wikipedia. <em>Post hoc ergo propter hoc</em> &#8212; the &#8220;after this, therefore because of this&#8221; reasoning error. en.wikipedia.org/wiki/Post_hoc_ergo_propter_hoc</p></li></ul><div><hr></div><blockquote><p><strong>About this article</strong><br>This post was written by AI and reviewed by the author. All factual claims were verified (with another prompt) at the time of publication. Final perspective, editorial judgement, and any opinions expressed are the author&#8217;s own.</p><p><em>Published on riatto.substack.com &#183; March 2026</em></p></blockquote><div><hr></div><p><em>Tags: #logic #thinking #books #education #psychology</em></p><div class="subscription-widget-wrap-editor" data-attrs="{&quot;url&quot;:&quot;https://riatto.substack.com/subscribe?&quot;,&quot;text&quot;:&quot;Subscribe&quot;,&quot;language&quot;:&quot;en&quot;}" data-component-name="SubscribeWidgetToDOM"><div class="subscription-widget show-subscribe"><div class="preamble"><p class="cta-caption">This Substack is reader-supported. To receive new posts and support my work, consider becoming a free or paid subscriber.</p></div><form class="subscription-widget-subscribe"><input type="email" class="email-input" name="email" placeholder="Type your email&#8230;" tabindex="-1"><input type="submit" class="button primary" value="Subscribe"><div class="fake-input-wrapper"><div class="fake-input"></div><div class="fake-button"></div></div></form></div></div><p></p>]]></content:encoded></item><item><title><![CDATA[The Math Most Schools Leave Out]]></title><description><![CDATA[A new book by Sizu Riatto traces every number, operation, and equation back to the ordinary person who needed it first &#8212; and finally answers the questions most math classes never got to.]]></description><link>https://riatto.substack.com/p/the-math-nobody-explained</link><guid isPermaLink="false">https://riatto.substack.com/p/the-math-nobody-explained</guid><dc:creator><![CDATA[Riatto]]></dc:creator><pubDate>Wed, 25 Mar 2026 01:06:43 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!1Uwz!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8af7c9d5-266d-4bc8-b298-8e825848a12b_1095x1632.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://www.amazon.com/dp/B0GTM8HQ1G?tag=duriancat-20" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!1Uwz!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8af7c9d5-266d-4bc8-b298-8e825848a12b_1095x1632.png 424w, https://substackcdn.com/image/fetch/$s_!1Uwz!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8af7c9d5-266d-4bc8-b298-8e825848a12b_1095x1632.png 848w, https://substackcdn.com/image/fetch/$s_!1Uwz!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8af7c9d5-266d-4bc8-b298-8e825848a12b_1095x1632.png 1272w, https://substackcdn.com/image/fetch/$s_!1Uwz!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8af7c9d5-266d-4bc8-b298-8e825848a12b_1095x1632.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!1Uwz!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8af7c9d5-266d-4bc8-b298-8e825848a12b_1095x1632.png" width="284" height="423.27671232876713" 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class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption"><em><a href="https://www.amazon.com/dp/B0GTM8HQ1G?tag=duriancat-20">Math Didn&#8217;t Have to Be This Hard</a></em></figcaption></figure></div><div><hr></div><blockquote><p><em>&#10022; Transparency note: This article was written by AI and reviewed by the author. All factual claims were independently verified (with another prompt) before publication. Mistakes may still happen.</em></p><p><strong>Disclaimer:</strong> The information in this post is for educational and informational purposes only. It does not constitute financial, legal, or professional advice. The author is not liable for any financial loss or damages arising from use of this information. Data, pricing, and availability referenced here may be out of date &#8212; always verify independently before acting on it.</p></blockquote><div><hr></div><p>There was a moment &#8212; probably somewhere between secondary school algebra and whatever came next &#8212; when math stopped making sense and you stopped asking why.</p><p>The teacher wrote on the board. You wrote in your notebook. You memorised the procedure. You passed, or didn&#8217;t. And somewhere in that process, quietly, you filed yourself under &#8220;not a math person&#8221; &#8212; as if that were a fixed trait rather than a completely rational response to being handed a rule with no explanation attached.</p><p>That&#8217;s the argument at the centre of <em><a href="https://www.amazon.com/dp/B0GTM8HQ1G?tag=duriancat-20">Math Didn&#8217;t Have to Be This Hard</a>: The Ancient Thinking Tools They Forgot to Teach You</em>, a new book by Sizu Riatto, now available on Amazon KDP. And the argument is not gentle. It&#8217;s specific: the reason math felt hard for most people wasn&#8217;t aptitude. It was that the <em>why</em> was almost never part of the lesson.</p><div><hr></div><h2>&#128214; The Thesis: Every Idea Was Invented by Someone Who Needed It</h2><p>The book opens with a claim that sounds obvious until you actually sit with it: every concept in mathematics was invented by an ordinary person with a concrete problem they couldn&#8217;t solve without a new idea.</p><p>Not a mathematician theorising in isolation. A farmer. A merchant. A navigator. A tax collector. Someone staring at a problem that the existing toolkit couldn&#8217;t handle, who had to reach for a new thought.</p><p>Negative numbers weren&#8217;t invented by an academic. They were invented because debt exists &#8212; because there is a thing called &#8220;you owe more than you have&#8221; and you need a way to write it down without it becoming ambiguous. Fractions weren&#8217;t a theoretical exercise. Land doesn&#8217;t always divide evenly, and when it doesn&#8217;t, you need to know what each person gets. Logarithms &#8212; the ones that scared more people out of mathematics than almost anything else &#8212; were invented by a mathematician in the early 1600s who spent roughly twenty years solving one urgent problem: navigators at sea couldn&#8217;t do large multiplications fast enough to stay alive. The logarithm was a speed tool. A life-saving shortcut.</p><p>When you know that, the logarithm isn&#8217;t a mystery. It&#8217;s an obvious response to a problem you can picture. <em>Of course</em> someone invented this. It solves exactly that problem. That click of recognition &#8212; that sense of <em>of course</em> &#8212; is what this book is after.</p><div><hr></div><h2>&#127959;&#65039; How the Book Is Structured</h2><p><em>Math Didn&#8217;t Have to Be This Hard</em> moves in three deliberate stages.</p><p><strong>Stage one: the numbers themselves.</strong> Before operations, before equations, the book asks what numbers actually <em>are</em>. Not how to use them &#8212; what they are and why they exist. This covers territory most people were never given:</p><ul><li><p><strong>Before Numbers</strong> &#8212; how quantity was tracked without a number system, and why that turned out to be insufficient</p></li><li><p><strong>Zero</strong> &#8212; the idea that took multiple independent civilisations to arrive at, because it requires thinking of &#8220;nothing&#8221; as a thing</p></li><li><p><strong>One</strong> &#8212; deceptively obvious; far stranger than it appears</p></li><li><p><strong>Negative Numbers</strong> &#8212; philosophically rejected for centuries; finally made unavoidable by medieval merchants who needed to write down debt</p></li><li><p><strong>Fractions</strong> &#8212; the practical solution to the problem of uneven division</p></li><li><p><strong>Infinity</strong> &#8212; not a large number, but something categorically different; the mathematician who proved that some infinities are larger than others nearly destroyed his own career for doing so</p></li></ul><p><strong>Stage two: the operations.</strong> Addition, subtraction, multiplication, division &#8212; what you were taught to <em>do</em> with numbers, with almost no explanation of what those operations are actually modelling or why the rules work the way they do. There is a reason multiplication is commutative. There is a reason order of operations is standardised the way it is. Neither reason is complicated. Neither was ever explained to most people.</p><p><strong>Stage three: the abstractions.</strong> Variables, equations, functions, graphs. This is where a significant number of capable people quietly started faking it &#8212; because the moment the letters appeared, the familiar footholds disappeared. The book&#8217;s argument is that these ideas aren&#8217;t harder than what came before. They&#8217;re just further from the familiar. The distance is shorter than it looks.</p><p>After the three main stages, four chapters go deeper: prime numbers and their role in modern encryption; logarithms and why the volume knob on your amplifier isn&#8217;t linear; pi and the unsettling number of places it appears that have nothing to do with circles; and statistics &#8212; how to read a number and know whether it means what someone is claiming it means.</p><div><hr></div><h2>&#128290; A Taste of What&#8217;s Inside</h2><p>Four chapters stand out as particularly worth flagging, not because the others are lesser, but because these tend to surprise people who thought they already knew the territory.</p><p><strong>Zero</strong> turns out to have a history most people have never encountered &#8212; one that reframes what seems like the simplest number in the system. The chapter asks a question most math classes skip entirely, and the answer changes how the whole system looks.</p><p><strong>Logarithms</strong> is the chapter most people expect to bounce off, and don&#8217;t. The backstory of how and <em>why</em> logarithms were invented &#8212; who needed them, and what was at stake &#8212; is one of the more striking in the book. It makes the concept land in a completely different place than the version most people half-remember from school.</p><p><strong>Infinity</strong> covers the proof that nearly destroyed a mathematician&#8217;s career. The result itself is astonishing. The presentation makes it followable &#8212; the book earns that claim rather than just asserting it.</p><p><strong>Statistics</strong> may be the most useful chapter for daily life. The angle isn&#8217;t calculation &#8212; it&#8217;s protection. How to read a number that someone is presenting as evidence, and know what to ask before you trust it.</p><div><hr></div><h2>&#129517; Who This Book Is For</h2><p>The preface is clear: you don&#8217;t need any particular background. You don&#8217;t need to remember anything from school.</p><p>If anything, the rules you learned might be a mild obstacle &#8212; because the book is trying to replace remembered procedure with actual understanding, and the two occasionally conflict. A reader arriving with no prior math education would have less to unlearn.</p><p>The likely reader is someone who got through school-level mathematics via memorisation, arrived somewhere in adult life with a lingering unease about whether they really understood any of it, and has occasionally wondered whether there was a version of these ideas that would actually make sense. That reader will find a book written directly for them.</p><p>The book will also be useful &#8212; in a different way &#8212; for people who understood the procedures but never knew the history. Knowing where a concept came from changes how it sits in the mind. The history isn&#8217;t decoration. It&#8217;s the fastest path to genuine understanding.</p><div><hr></div><h2>&#128218; The Quick Reference and What Comes After</h2><p>The book includes a Quick Reference section &#8212; a condensed summary of key formulas, definitions, and relationships across all eighteen chapters &#8212; designed to function as a standalone refresher without needing to return to the full chapter.</p><p>An extensive bibliography of primary and academic sources backs every historical claim in the book, followed by a comprehensive index. This is not a casual gesture at research &#8212; it&#8217;s a book that stands behind its history.</p><div><hr></div><h2>&#128279; Explore the Concepts Further</h2><p>Some of the ideas in this book have their own dedicated posts and interactive tools on riatto.substack.com &#8212; good companions for readers who want to go hands-on with the underlying concepts.</p><p><strong>The Sequence That Wasn&#8217;t Fibonacci&#8217;s</strong><br>The same math-history storytelling approach, applied to one of the most famous number patterns in mathematics &#8212; tracing it back to the scholars who arrived there centuries before Fibonacci, and the geometry that explains why it shows up everywhere in nature. Pairs naturally with the book&#8217;s chapters on numbers and pattern.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!8hFQ!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc994117a-7171-4dae-92cc-0a116fe5480a_1547x1250.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!8hFQ!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc994117a-7171-4dae-92cc-0a116fe5480a_1547x1250.png 424w, https://substackcdn.com/image/fetch/$s_!8hFQ!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc994117a-7171-4dae-92cc-0a116fe5480a_1547x1250.png 848w, https://substackcdn.com/image/fetch/$s_!8hFQ!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc994117a-7171-4dae-92cc-0a116fe5480a_1547x1250.png 1272w, https://substackcdn.com/image/fetch/$s_!8hFQ!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc994117a-7171-4dae-92cc-0a116fe5480a_1547x1250.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!8hFQ!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc994117a-7171-4dae-92cc-0a116fe5480a_1547x1250.png" width="486" height="392.53846153846155" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/c994117a-7171-4dae-92cc-0a116fe5480a_1547x1250.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:1176,&quot;width&quot;:1456,&quot;resizeWidth&quot;:486,&quot;bytes&quot;:88216,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://riatto.substack.com/i/192047609?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc994117a-7171-4dae-92cc-0a116fe5480a_1547x1250.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!8hFQ!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc994117a-7171-4dae-92cc-0a116fe5480a_1547x1250.png 424w, https://substackcdn.com/image/fetch/$s_!8hFQ!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc994117a-7171-4dae-92cc-0a116fe5480a_1547x1250.png 848w, https://substackcdn.com/image/fetch/$s_!8hFQ!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc994117a-7171-4dae-92cc-0a116fe5480a_1547x1250.png 1272w, https://substackcdn.com/image/fetch/$s_!8hFQ!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc994117a-7171-4dae-92cc-0a116fe5480a_1547x1250.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p><br><a href="https://riatto.substack.com/p/2026-03-20-fibonacci">&#8594; Read the post</a> &#183; <a href="https://riatto.ovh/tools/math/fibonacci">&#8594; Try the Fibonacci Generator</a></p><p><strong>The Numbers That Outlasted Rome</strong><br>Roman numerals make a brief but telling appearance in the book&#8217;s chapter on Zero &#8212; as the cautionary example of a numeral system that never developed a way to write nothing. This post explores that system in full, including why it lasted as long as it did and where it still shows up today.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!QT-z!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdfd237bb-917a-47a0-94ef-6bf98503b855_1547x1250.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!QT-z!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdfd237bb-917a-47a0-94ef-6bf98503b855_1547x1250.png 424w, https://substackcdn.com/image/fetch/$s_!QT-z!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdfd237bb-917a-47a0-94ef-6bf98503b855_1547x1250.png 848w, https://substackcdn.com/image/fetch/$s_!QT-z!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdfd237bb-917a-47a0-94ef-6bf98503b855_1547x1250.png 1272w, https://substackcdn.com/image/fetch/$s_!QT-z!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdfd237bb-917a-47a0-94ef-6bf98503b855_1547x1250.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!QT-z!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdfd237bb-917a-47a0-94ef-6bf98503b855_1547x1250.png" width="470" height="379.61538461538464" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/dfd237bb-917a-47a0-94ef-6bf98503b855_1547x1250.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:1176,&quot;width&quot;:1456,&quot;resizeWidth&quot;:470,&quot;bytes&quot;:286769,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://riatto.substack.com/i/192047609?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdfd237bb-917a-47a0-94ef-6bf98503b855_1547x1250.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!QT-z!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdfd237bb-917a-47a0-94ef-6bf98503b855_1547x1250.png 424w, https://substackcdn.com/image/fetch/$s_!QT-z!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdfd237bb-917a-47a0-94ef-6bf98503b855_1547x1250.png 848w, https://substackcdn.com/image/fetch/$s_!QT-z!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdfd237bb-917a-47a0-94ef-6bf98503b855_1547x1250.png 1272w, https://substackcdn.com/image/fetch/$s_!QT-z!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdfd237bb-917a-47a0-94ef-6bf98503b855_1547x1250.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p><br><a href="https://riatto.substack.com/p/2026-03-21-roman-numerals">&#8594; Read the post</a> &#183; <a href="https://riatto.ovh/tools/history/roman">&#8594; Try the Roman Numeral Converter</a></p><p><strong>The Coin That Tamed Uncertainty</strong><br>Probability is Chapter 14 in the book. This post approaches the same territory from the story of a mathematician flipping coins by hand in a Danish prison camp &#8212; and an interactive simulator that lets you run the same experiment and watch the pattern emerge in real time.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!saXg!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8771a46c-6e44-47e3-8b84-0a1311df0678_1567x1545.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!saXg!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8771a46c-6e44-47e3-8b84-0a1311df0678_1567x1545.png 424w, https://substackcdn.com/image/fetch/$s_!saXg!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8771a46c-6e44-47e3-8b84-0a1311df0678_1567x1545.png 848w, https://substackcdn.com/image/fetch/$s_!saXg!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8771a46c-6e44-47e3-8b84-0a1311df0678_1567x1545.png 1272w, https://substackcdn.com/image/fetch/$s_!saXg!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8771a46c-6e44-47e3-8b84-0a1311df0678_1567x1545.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!saXg!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8771a46c-6e44-47e3-8b84-0a1311df0678_1567x1545.png" width="342" height="337.3021978021978" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/8771a46c-6e44-47e3-8b84-0a1311df0678_1567x1545.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:1436,&quot;width&quot;:1456,&quot;resizeWidth&quot;:342,&quot;bytes&quot;:280234,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://riatto.substack.com/i/192047609?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8771a46c-6e44-47e3-8b84-0a1311df0678_1567x1545.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!saXg!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8771a46c-6e44-47e3-8b84-0a1311df0678_1567x1545.png 424w, https://substackcdn.com/image/fetch/$s_!saXg!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8771a46c-6e44-47e3-8b84-0a1311df0678_1567x1545.png 848w, https://substackcdn.com/image/fetch/$s_!saXg!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8771a46c-6e44-47e3-8b84-0a1311df0678_1567x1545.png 1272w, https://substackcdn.com/image/fetch/$s_!saXg!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8771a46c-6e44-47e3-8b84-0a1311df0678_1567x1545.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p><br><a href="https://riatto.substack.com/p/the-coin-that-tamed-uncertainty">&#8594; Read the post</a> &#183; <a href="https://riatto.ovh/tools/math/coin-flip">&#8594; Try the Coin Flip Simulator</a></p><div><hr></div><h2>&#128062; Briefing from the Institute for Feline Mathematical Intuition and Strategic Snack Procurement</h2><p><em>Filed by Senior Analyst Calculus, Bureau of Quantity Assessment and Bowl Monitoring</em></p><div><hr></div><p>i have reviewed the book <em>Math Didn&#8217;t Have to Be This Hard</em> on behalf of the Institute. &#128572; my findings are as follows.</p><p>the central claim is that math was invented by ordinary beings with real problems. i find this plausible. i also have real problems. specifically: my bowl is often empty at times that do not correspond to any reasonable feeding schedule. i have been attempting to model this mathematically. my current equation does not balance. mrrp.</p><p>the chapter on zero was of particular interest. the concept that &#8220;nothing&#8221; is a number. i understand this. when there is nothing in my bowl, that is a quantity. it is the quantity i am most familiar with. it is still, somehow, not treated with the mathematical seriousness it deserves. &#128062;</p><p>the chapter on negative numbers made an impression. the book explains that debt requires negative numbers &#8212; you need a way to write down that you owe more than you have. i have reviewed my treat deficit from the past seven days. the number is negative. it is significantly negative. i have not received acknowledgement of this figure. i am considering escalating.</p><p>the logarithms chapter described a volume knob. i am aware of volume knobs. when the music is too loud, i leave the room. when i leave the room, the music becomes quieter. this is not a coincidence. i believe this may be logarithmic. the Institute is reviewing the data. chirp.</p><p>the statistics chapter noted that a number without context is not information. i found this validating. when told i have &#8220;plenty of food,&#8221; i now request the standard deviation. chirp. &#128569;</p><p>my overall assessment: the book is thorough, clear, and addresses questions that should have been answered many years ago. it would benefit from a chapter on the mathematics of snack timing optimisation. i have prepared an outline. it has not been requested. it remains available.</p><p>four and a half paws out of five. the half paw is withheld pending further review of the bowl situation.</p><p><em>Senior Analyst Calculus</em><br><em>Institute for Feline Mathematical Intuition and Strategic Snack Procurement</em><br><em>&#8220;every empty bowl is a data point. we have a lot of data.&#8221;</em></p><div><hr></div><h2>Where to Get It</h2><p><em><strong><a href="https://www.amazon.com/dp/B0GTM8HQ1G?tag=duriancat-20">&#8594; Get the book on Amazon - Math Didn&#8217;t Have to Be This Hard</a></strong>: The Ancient Thinking Tools They Forgot to Teach You</em> is available now on Amazon KDP. </p><p>Also available in the series:</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://amzn.to/4sFFndO" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!qpSI!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png 424w, https://substackcdn.com/image/fetch/$s_!qpSI!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png 848w, https://substackcdn.com/image/fetch/$s_!qpSI!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png 1272w, https://substackcdn.com/image/fetch/$s_!qpSI!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!qpSI!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png" width="208" height="316.529945553539" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/ce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:1677,&quot;width&quot;:1102,&quot;resizeWidth&quot;:208,&quot;bytes&quot;:542207,&quot;alt&quot;:&quot;&quot;,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:&quot;https://amzn.to/4sFFndO&quot;,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:true,&quot;internalRedirect&quot;:&quot;https://riatto.substack.com/i/192135301?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" title="" srcset="https://substackcdn.com/image/fetch/$s_!qpSI!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png 424w, https://substackcdn.com/image/fetch/$s_!qpSI!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png 848w, https://substackcdn.com/image/fetch/$s_!qpSI!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png 1272w, https://substackcdn.com/image/fetch/$s_!qpSI!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fce8ffcce-f05d-467d-ad6b-cfbb76ed8e35_1102x1677.png 1456w" sizes="100vw" loading="lazy" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p style="text-align: center;"><em><strong><a href="https://amzn.to/4sFFndO">Logic Didn&#8217;t Have to Be This Hard: Clear Thinking for Everyday Life</a></strong></em></p><blockquote><p><em>Affiliate disclosure: This post contains an Amazon affiliate link. I may earn a small commission at no extra cost to you.</em></p></blockquote><div><hr></div><h2>References</h2><ul><li><p>Riatto, Sizu. <em>Math Didn&#8217;t Have to Be This Hard: The Ancient Thinking Tools They Forgot to Teach You.</em> Amazon KDP, First Edition, 2026. Primary source for all chapter summaries and book descriptions in this post.</p></li><li><p>Napier, John. <em>Mirifici Logarithmorum Canonis Descriptio.</em> Edinburgh, 1614. Original publication of logarithm tables; context for the Logarithms chapter discussion.</p></li><li><p>Cantor, Georg. &#8220;&#220;ber eine Eigenschaft des Inbegriffes aller reellen algebraischen Zahlen.&#8221; <em>Journal f&#252;r die reine und angewandte Mathematik</em>, 77, 1874. Original paper on the uncountability of real numbers; context for the Infinity chapter discussion.</p></li><li><p>Seife, Charles. <em>Zero: The Biography of a Dangerous Idea.</em> Viking, 2000. Background on the history of zero.</p></li><li><p>Wikipedia. <em>Logarithm</em> &#8212; history, Napier, Briggs, and applications. en.wikipedia.org/wiki/Logarithm</p></li><li><p>Wikipedia. <em>Georg Cantor</em> &#8212; biography and reception of set theory. en.wikipedia.org/wiki/Georg_Cantor</p></li><li><p>Wikipedia. <em>History of the Hindu&#8211;Arabic numeral system</em> &#8212; origin and transmission of positional notation including zero. en.wikipedia.org/wiki/History_of_the_Hindu%E2%80%93Arabic_numeral_system</p></li></ul><div><hr></div><blockquote><p><strong>About this article</strong><br>This post was written by AI and reviewed by the author. All factual claims were verified (with another prompt) at the time of publication. Final perspective, editorial judgement, and any opinions expressed are the author&#8217;s own.</p><p><em>Published on riatto.substack.com &#183; March 2026</em></p></blockquote><div><hr></div><p><em>Tags: #math #books #education #history #science</em></p><div class="subscription-widget-wrap-editor" data-attrs="{&quot;url&quot;:&quot;https://riatto.substack.com/subscribe?&quot;,&quot;text&quot;:&quot;Subscribe&quot;,&quot;language&quot;:&quot;en&quot;}" data-component-name="SubscribeWidgetToDOM"><div class="subscription-widget show-subscribe"><div class="preamble"><p class="cta-caption">This Substack is reader-supported. 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