Quanta Books

Quanta Books

@quantabooks.org

Exploring the frontiers of science and math. Illuminating humanity’s quest to understand the universe. Capturing the wonder of discovery. For readers who want to know more. Visit our website for more: www.quantabooks.org

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Meanwhile, per @wsj.com: Lean & LLMs “have forced mathematicians for the first time in more than a century to reckon with…their field.” Kevin Hartnett’s (@kevinhartnett.bsky.social) book on Lean’s story is just what readers need to understand the news. Read more: www.quantabooks.org/books/the-pr...

quantabooks.orgThe Proof in the Code - Quanta BooksThe inside story of Lean, a computer program that answers the age-old question: How do you know if something is true?

Amid OpenAI’s news that they’d solved the Navier-Stokes problem—verified w/ Lean—many mathematicians, including Quanta Books author Terence Tao (@teorth.bsky.social), worry that the rapid pace of AI proofs could short-circuit the main purpose of math: “to increase your understanding of a subject.”

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Lean has also become the go-to way to verify math—@anthropic.com shouted out @kevinhartnett.bsky.social's THE PROOF IN THE CODE while announcing how Claude formalized Fermat’s Last Theorem: www.anthropic.com/research/for.... Learn more about the history of Lean: www.quantabooks.org/books/the-pr...

quantabooks.orgThe Proof in the Code - Quanta BooksThe inside story of Lean, a computer program that answers the age-old question: How do you know if something is true?

Amid OpenAI’s news that they’d solved the Navier-Stokes problem—verified w/ Lean—many mathematicians, including Quanta Books author Terence Tao (@teorth.bsky.social), worry that the rapid pace of AI proofs could short-circuit the main purpose of math: “to increase your understanding of a subject.”

Quanta Books reposted

Four billion years ago, Earth was a sterile rock. Today it is teeming with life, from simple microbes to extraordinarily complex societies that span the globe. How does that happen? I'm writing a book about the answer: Life Unbounded, from Quanta Books. www.quantabooks.org/books/life-u...

quantabooks.orgLife UnboundedIn LIFE UNBOUNDED, pioneering evolutionary biologist William C. Ratcliff reveals that every great leap in life’s complexity, from the first cells to human culture, was driven by the same underlying pr...
Quanta Books@quantabooks.org

🚨New book announcement! 🚨Evolutionary biologist William C. Ratcliff’s (@wcratcliff.bsky.social) LIFE UNBOUNDED (forthcoming 2029) delivers a sweeping narrative of the emergence of complex life, and how a sterile planet transformed into the rich mosaic of beings on Earth today.

🚨New book announcement! 🚨Evolutionary biologist William C. Ratcliff’s (@wcratcliff.bsky.social) LIFE UNBOUNDED (forthcoming 2029) delivers a sweeping narrative of the emergence of complex life, and how a sterile planet transformed into the rich mosaic of beings on Earth today.

Drawing on sixteen years of watching multicellular life evolve from scratch in his lab, Ratcliff reveals how a single evolutionary process drove every great leap in life’s complexity, from the first cells to human culture. Learn more here: www.quantabooks.org/books/life-u...

quantabooks.orgLife UnboundedIn LIFE UNBOUNDED, pioneering evolutionary biologist William C. Ratcliff reveals that every great leap in life’s complexity, from the first cells to human culture, was driven by the same underlying process.

Cover reveal for David Tong's EVERYTHING IS FIELDS, publishing March 16, 2027! From one of today’s leading theoretical physicists comes a witty, exuberant tour of quantum fields, the fluid-like substances that make up our entire universe.

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Quanta Books will be at Booth #102, raffling out swag and selling copies of THE PROOF IN THE CODE. View our full event schedule: Saturday, July 25 11AM–12PM: Terence Tao’s bookplate signing. 1:15PM–2:15PM: Kevin Hartnett's conversation with Thomas Lin, followed by book signing.

Terence Tao will sign bookplates for his forthcoming title, SIX MATH ESSENTIALS (10/27/26), an elegant distillation of six core ideas in math. Kevin Hartnett and publisher Thomas Lin (@7homaslin.com) will explore the future of math and AI covered in his gripping new book, THE PROOF IN THE CODE.

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If you’re in the Philadelphia area on July 25, stop by the @quantabooks.org booth at the International Congress of Mathematicians at the Pennsylvania Convention Center. Terry Tao (@teorth.bsky.social) will be signing bookplates from 11am to noon.

quantabooks.orgSix Math Essentials - Quanta BooksThe “Mozart of mathematics” invites readers on a brief tour of six core ideas—numbers, algebra, geometry, probability, analysis, and dynamics—that capture the beauty and power of mathematical thinking...
Thomas Lin@7homaslin.com

Galleys for Terence Tao’s SIX MATH ESSENTIALS have arrived at our @quantabooks.org offices. We’re excited to share them with reviewers! The official publication date is Oct 27 and you can preorder the book here: www.quantabooks.org/books/six-ma...

With the programming language Lean, “math proofs can be written in a different way than they have been in millennia.” The future of truth may lie not on paper but in code.

The programming language and math proof assistant Lean is the latest tool in a millennia-long search to discover and verify the truth. A thread: (1/7)

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Today, Lean continues this legacy of truth-seeking, giving mathematicians a powerful, interactive tool with which to fulfill Gödel’s dreams of “prov[ing] any theorem using nothing but a few mechanical rules.” (6/7)

The programming language and math proof assistant Lean is the latest tool in a millennia-long search to discover and verify the truth. A thread: (1/7)

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Later, Bertrand Russell and Alfred North Whitehead’s Principia Mathematica (1910-1913) proposed a new formal system—type theory—for expressing, verifying, and maybe even discovering new mathematics. If the foundation was solid, maybe the resultant structure would be too. (4/7)

In 1931, Kurt Gödel shook the world with his incompleteness theorems, which argued that there were limits to knowledge: no formal system—a set of rules from which all else was supposed to follow—could ever be complete. Even then, Gödel was optimistic about formalized math. (5/7)

The programming language and math proof assistant Lean is the latest tool in a millennia-long search to discover and verify the truth. A thread: (1/7)

In the fourth and third century BCE, Aristotle and Euclid laid the groundwork for rigorously verifying mathematics by representing it as a formalized, rational, symbolic language that could be objectively evaluated. (2/7)

In the seventeenth century, Gottfried Leibniz dreamed of a universal symbolic language, his characteristica universalis, that he believed would be capable of expressing—and verifying—any rational thought. Formalizing, rather than fighting, would resolve disagreements. (3/7)