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The Proof in the Code

How a Truth Machine Is Transforming Math and AI

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The Proof in the Code

By: Kevin Hartnett
Narrated by: Kevin Shen
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The inside story of Lean, a computer program that answers the age-old question: How do you know if something is true?

It began as an obscure bug-checking program at Microsoft Research developed by a lone computer engineer named Leo de Moura. Then an unlikely crew of mathematical misfits caught wind of it and began to adopt it with messianic zeal. Their goal was to create a truth machine that could provide the rarest of all commodities in life: a complete, 100 percent guarantee that something is true. Its name: Lean.

As the movement grew and strengthened the program’s capabilities, it drew in two of the world’s most prominent mathematicians: Peter Scholze and Terence Tao. Google DeepMind, Meta AI, and other tech firms started using the program to supercharge computer reasoning. Now it’s remaking the multi-thousand-year history of how mathematicians work, collaborate, and assess truth, while charting a new path in the march toward machine intelligence.

In The Proof in the Code, Kevin Hartnett tells the definitive story of the birth and rise of Lean, and how a growing movement is transforming the enterprise of mathematics and ushering in a new era of human–computer collaboration. An engrossing, character driven narrative filled with insights about the future of math, computers, and AI, this brilliant work of journalism from one of the world’s leading math writers offers a profound answer to the question: Can computers reveal universal truths?

A Macmillan Audio production from Quanta Books

Computer Science History & Culture Innovations Machine Theory & Artificial Intelligence Mathematics Artificial Intelligence
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Can I give more praise than conceptually that it reminded me of: The Soul of a New Machine by Tracy Kidder

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The Proof in the Code is a well-written and, for the most part, engaging account of modern mathematical research and the growing role of formal proof assistants. It conveys the excitement of contemporary mathematics and gives the reader a good sense of how research is actually done. At times, however, the book tends to overstate the significance of perfectoid spaces, overstating their significance to “all of mathematics” in a way that feels exaggerated. Likewise, when discussing the Lean project, the narrative occasionally slips into familiar clichés about “elite mathematicians” and similar things, which become somewhat distracting. Apart from this, the book is informative, enjoyable, and well worth reading for anyone interested in the changing landscape of mathematical research.

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