How Not to Be Wrong book cover

How Not to Be Wrong by Jordan Ellenberg Summary

How Not to Be Wrong
Jordan Ellenberg
3.95 (20963 Reviews)
Science
Education
Philosophy
Visão Geral
Pontos Principais
Autor
Perguntas Frequentes

Overview of How Not to Be Wrong

Discover why Bill Gates called this bestseller "a love letter to math." Ellenberg transforms mathematical thinking into a superpower for everyday life, revealing how Abraham Wald's counterintuitive WWII airplane armor solution exemplifies the hidden brilliance in asking better questions.

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Principais Lições

1

Mathematics Is Not What You Think It Is

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What if I told you that mathematics saved thousands of lives during World War II-not through cryptography or weapons design, but through a simple observation about missing data? The U.S. military faced a puzzle: returning aircraft were riddled with bullet holes in their fuselages, yet the engines remained relatively unscathed. The obvious solution seemed clear-reinforce the most damaged areas. But mathematician Abraham Wald saw something no one else did. He looked at the planes that didn't come back. Those hit in the engine never made it home. The missing bullet holes told the real story. This wasn't about complex equations-it was about seeing what wasn't there, recognizing patterns in absence rather than presence. Mathematics, it turns out, isn't really about numbers at all. It's X-ray vision for reality, a way of extending common sense to see structures hidden beneath the chaos of everyday life.

2

The Trap of Straight-Line Thinking

3

The Infinitely Small and the Perfectly Straight

4

When Rare Events Become Common

5

The Paradox of Prediction in the Age of Algorithms

6

The Inevitable Return to Average

7

Embracing Uncertainty as Strength

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@Chloe, Solo founder, LA
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"Perfect balance between learning and entertainment. Finished ‘Thinking, Fast and Slow’ on my commute this week."

@Raaaaaachelw
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"Crazy how much I learned while walking the dog. BeFreed = small habits → big gains."

@Matt, YC alum
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"Reading used to feel like a chore. Now it’s just part of my lifestyle."

@Erin, Investment Banking Associate , NYC
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"Feels effortless compared to reading. I’ve finished 6 books this month already."

@djmikemoore
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@Jaded_Falcon
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@Leo, Law Student, UPenn
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"Makes me feel smarter every time before going to work"

@Cashflowbubu
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"Instead of endless scrolling, I just hit play on BeFreed. It saves me so much time."

@Moemenn
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star
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star
star

"I never knew where to start with nonfiction—BeFreed’s book lists turned into podcasts gave me a clear path."

@Chloe, Solo founder, LA
platform
comments
12
likes
117

"Perfect balance between learning and entertainment. Finished ‘Thinking, Fast and Slow’ on my commute this week."

@Raaaaaachelw
platform
star
star
star
star
star

"Crazy how much I learned while walking the dog. BeFreed = small habits → big gains."

@Matt, YC alum
platform
comments
12
likes
108

"Reading used to feel like a chore. Now it’s just part of my lifestyle."

@Erin, Investment Banking Associate , NYC
platform
comments
254
likes
17

"Feels effortless compared to reading. I’ve finished 6 books this month already."

@djmikemoore
platform
star
star
star
star
star

"BeFreed turned my guilty doomscrolling into something that feels productive and inspiring."

@Pitiful
platform
comments
96
likes
4.5K

"BeFreed turned my commute into learning time. 20-min podcasts are perfect for finishing books I never had time for."

@SofiaP
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star
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star

"BeFreed replaced my podcast queue. Imagine Spotify for books — that’s it. 🙌"

@Jaded_Falcon
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201
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"It is great for me to learn something from the book without reading it."

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"The themed book list podcasts help me connect ideas across authors—like a guided audio journey."

@Leo, Law Student, UPenn
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37
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"Makes me feel smarter every time before going to work"

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