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  • The Great Mental Models, Volume 3: Systems and Mathematics (The Great Mental Models Series)

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The Great Mental Models, Volume 3: Systems and Mathematics (The Great Mental Models Series)

4.4 out of 5 stars (123)

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From the New York Times bestselling author of Clear Thinking and Farnam Street founder, Shane Parrish.

The third book in the timeless Great Mental Models series.


Time and time again, great thinkers such as Charlie Munger and Warren Buffett have credited their success to mental models–representations of how something works that can scale onto other fields.

Mastering a small number of mental models enables you to rapidly grasp new information, identify patterns others miss, and avoid the common mistakes that hold people back.

Volume 3 of
The Great Mental Models series focuses on systems and mathematics, simplifying more than twenty-four key concepts from these technical fields into easy-to-understand terms. It provides insights into the unseen mechanisms that influence our environment and teaches you how to apply these principles to benefit your life.

Some of the mental models covered in this book include:

  • Margin of Safety: Engineers design for extremes, not averages. To create a robust system, ensure a meaningful gap between what the system is capable of handling and what it is required to handle.
  • Compounding: The most powerful force in the universe can work in domains other than money.
  • The law of diminishing returns: Inputs to a system lead to more output, up until a point where each further unit of input will lead to a decreasing amount of output.
  • Regression to the mean: Above- or below- average performance tends to correct towards the average over the long term.

The Great Mental Models series demystifies once elusive concepts and illuminates rich knowledge that traditional education overlooks. This series is the most comprehensive and accessible guide on using mental models to better understand our world, solve problems, and gain an advantage.
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From the Publisher

TRAIN YOUR BRAIN with the complete series of THE GREAT MENTAL MODELS by Shane Parrish
Vol 1
Vol 2
Vol 3
Vol 4
Subject Matter General Thinking Concepts Physics, Chemistry, and Biology Systems and Mathematics Economics and Art
Concepts include… The Map vs. The Territory, Second-Order Effects, Occam's Razor Leverage, Inertia, Activation Energy Compounding, Regression to the Mean, Law of Diminishing Returns Creative Destruction, Representation, Genre
Page length 208 400 384 416
Illustrations throughout x x x x
New material Fully revised and updated Fully revised and updated Fully revised and updated Brand new volume with never-before-seen content

Editorial Reviews

Review

“I’m really glad this exists in the world and I can see that I will be recommending it often.”
— Matt Mullenweg, co-founder of WordPress, founder and CEO of Automattic


“If you’ve read Charlie Munger’s Almanack this is the book you deeply crave in its wake. … Learn the big ideas from the big disciplines and you’ll be able to twist and turn problems in interesting ways at unprecedented speeds. … You owe yourself this book.”
— Simon Eskildsen


“This is what non-fiction books should aspire to be like. Informative, concise, universal, practical, visual, sharing stories and examples for context. Definitely, a must-read if you’re into universal multi-disciplinary thinking.”
— Carl Rannaberg


“I can truly say it is one of the best books I’ve ever had the pleasure of getting lost in. I loved the book and the challenges to conventional wisdom and thinking it presents.”
— Rod Berryman


“Want to learn? Read This! This should be a standard text for high school and university students.”
— Code Cubitt

About the Author

Shane Parrish is the author of the New York Times bestseller Clear Thinking. He is an entrepreneur and wisdom seeker behind the popular website Farnam Street, where he focuses on turning timeless insights into action. His work has been featured in nearly every major publication, including The New York Times, The Wall Street Journal, and The Economist. His weekly newsletter, Brain Food, has captivated the minds of over half a million subscribers worldwide and his podcast, The Knowledge Project, is one of the most popular in the world.

Product details

  • Publisher ‏ : ‎ Portfolio
  • Publication date ‏ : ‎ October 15, 2024
  • Edition ‏ : ‎ Reprint
  • Language ‏ : ‎ English
  • Print length ‏ : ‎ 384 pages
  • ISBN-10 ‏ : ‎ 0593719999
  • ISBN-13 ‏ : ‎ 978-0593719992
  • Item Weight ‏ : ‎ 2.31 pounds
  • Dimensions ‏ : ‎ 5.75 x 1.13 x 8.56 inches
  • Book 3 of 4 ‏ : ‎ The Great Mental Models
  • Best Sellers Rank: #63,827 in Books (See Top 100 in Books)
  • Customer Reviews:
    4.4 out of 5 stars (123)

About the authors

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Customer reviews

4.4 out of 5 stars
123 global ratings
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1 out of 5 stars
Looks used
I bought this gift for a Christmas gift, and I am embarrassed to give it now since it came with grease marks all over the cover. Too late to order another, so I will leave it up to the recipient as to whether or not he returns it.
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Top reviews from the United States

  • 5 out of 5 stars
    great mental models
    Reviewed in the United States on May 10, 2025
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    Enjoying the series. Lots of applicable mental models that helps us think through life. Looking forward to reading the next one in the series

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  • 3 out of 5 stars
    Usurps Legitimate Concept Labels to Sound Fancy
    Reviewed in the United States on September 12, 2025
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    My review is not about physical quality. There may be two physical implementations of the book. Mine was red & big.

    My low rating of 3 stars is due to an irritation. There are plenty of interesting ideas , stories , notions. However, it irritated me to no end how the author usurps legitimate concepts from mathematics, etc. to use as fancy labels. The notions in the book are often NOT those labels, NOT the fully genuine notion in the respective field.

    An excellent example -- and one that makes my [perhaps] vague statement of the previous paragraph more concrete -- is this one. Algorithm is absolute NOT a procedure. That's why we have the word 'procedure'. The author talks about screening many animals for ____ and thereby finding ____. Yes, I forget the exact details. But what was done was a procedure, NOT an ALGORITHM. An algorithm means that there is a logical entailment or set of logical entailments that thereby drives a search for a procedure that will satisfy those logical criteria / those logical implications / those logical restrictions. A procedure that does accomplish the goal of obeying those LOGICAL CONSIDERATIONS then is an algorithm.

    Highfalutin terms are usurped throughout the book. (I read every word.) The legitimate applicability of the usurped terms varies from 0% applicable, to perhaps 80% or more, depending. But most concepts spoken of are NOT those of the fancy label.

    Perhaps business people do that to sound fancy or pompous. They ought to invent their own words instead of erroneously usurping legitimate notions from other fields. "Churn" is an example where the business notion is done correctly. It is given a business word, rather than usurping a term from another field that has myriad implications for the field it was stolen from, but not for the business example or notion. "Churn" was OK, but many others were not.

    In truth, as a scientist, metrologist (astute at measurement influences), statistician, philosopher -- but only the 1st (scientist) officially -- I just found the usurping ot terms insulting. Perhaps you wouldn't care at all. Then, if that be so, the rating would be 4-stars for the book. Still not 5 stars though.

    5 people found this helpful
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  • 1 out of 5 stars
    Looks used
    Reviewed in the United States on December 22, 2024
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    Full content visible, double tap to read brief content.

    I bought this gift for a Christmas gift, and I am embarrassed to give it now since it came with grease marks all over the cover. Too late to order another, so I will leave it up to the recipient as to whether or not he returns it.

    Looks used
    1 out of 5 stars
    Looks used
    Reviewed in the United States on December 22, 2024

    I bought this gift for a Christmas gift, and I am embarrassed to give it now since it came with grease marks all over the cover. Too late to order another, so I will leave it up to the recipient as to whether or not he returns it.

    Sending feedback...
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  • 1 out of 5 stars
    damaged
    Reviewed in the United States on December 10, 2024
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    came damaged

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Top reviews from other countries

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  • 5 out of 5 stars
    one of the best tools for structured decision making
    Reviewed in India on November 10, 2024
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    This is in my top 10 books of all time. Am looking forward to reading the Mental Models of Economics and Art. I have studied economics, but the mathematics of art would be a lovely companion in my life.

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  • 2 out of 5 stars
    Good content. Poor book quality
    Reviewed in Singapore on January 3, 2025
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    Full content visible, double tap to read brief content.

    Shane and his blog, Farnam Street, have always been a favorite of mine. I purchased this edition print because I’m a huge fan of the first edition. However, I’m disappointed with the quality of the print and paper. I understand that keeping costs low is important, but the pages were printed crookedly, and most of the illustrations from the first edition are missing. (I assume they’re sticking to black and white printing to keep costs down.) Despite these issues, I still love the content, but the crooked pages were a major distraction.

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  • 2 out of 5 stars
    Too expensive for what it is!
    Reviewed in Canada on November 5, 2024
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    Book was smaller than previous in the series. This one felt like it was printed off from the website. So disappointed.

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  • 5 out of 5 stars
    Quality
    Reviewed in the United Kingdom on March 8, 2025
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    A quality read by Shane.

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  • 1 out of 5 stars
    Cubierta maltratada
    Reviewed in Spain on November 15, 2025
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    Cubierta maltratada y deteriorada con roces y golpes.

    Pero el libro es un magnífico ensayo. Estoy muy satisfecho por su enriquecedor enfoque. Un gran libro que recomiendo.

    Cubierta maltratada
    Cubierta maltratada
    Cubierta maltratada
    1 out of 5 stars
    Cubierta maltratada
    Reviewed in Spain on November 15, 2025

    Cubierta maltratada y deteriorada con roces y golpes.

    Pero el libro es un magnífico ensayo. Estoy muy satisfecho por su enriquecedor enfoque. Un gran libro que recomiendo.

    Sending feedback...
    Thanks, we'll investigate in the next few days.
    Translated from Spanish by Amazon
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