Luís and João Batalha: Fermat's Library and the Art of Studying Papers | Lex Fridman Podcast #209

Luís and João Batalha: Fermat's Library and the Art of Studying Papers | Lex Fridman Podcast #209

Lex Fridman PodcastAug 9, 20212h 54m

Lex Fridman (host), Luís Batalha (guest), João Batalha (guest), Narrator, Narrator

The importance of scientific backstories and human context behind papersFermat’s Library: goals, tools (Journal Club, Margins, Librarian) and designCritique of journals, paywalls, impact factors, and peer review incentivesPreprints, arXiv/bioRxiv, overlay journals, and open science modelsHow to read papers effectively and take notes/annotations that stickUsing social media (Twitter) to teach math/physics in tiny, viral unitsExamples of collaborative and public-facing science (Polymath, Tao, Perelman)

In this episode of Lex Fridman Podcast, featuring Lex Fridman and Luís Batalha, Luís and João Batalha: Fermat's Library and the Art of Studying Papers | Lex Fridman Podcast #209 explores fermat’s Library, Backstories, And Reimagining How We Do Science Online Lex Fridman talks with Luís and João Batalha, co‑founders of Fermat’s Library, about how we read, share, and build on scientific papers. They argue that the human backstory behind breakthroughs—Feynman’s wobbling plate, Goodfellow’s bar‑room GANs idea, Perelman’s protest via arXiv—makes science both more memorable and more honest. A large part of the conversation critiques today’s journal/paywall/peer‑review ecosystem, exploring preprints, open annotation, crowd review, and how metrics like impact factor distort incentives. They also dive into how Fermat’s Library works, how to actually read and annotate papers, why math/physics are inherently “democratic,” and even use sports and Game of Thrones to illustrate scientific thinking.

Fermat’s Library, Backstories, And Reimagining How We Do Science Online

Lex Fridman talks with Luís and João Batalha, co‑founders of Fermat’s Library, about how we read, share, and build on scientific papers. They argue that the human backstory behind breakthroughs—Feynman’s wobbling plate, Goodfellow’s bar‑room GANs idea, Perelman’s protest via arXiv—makes science both more memorable and more honest. A large part of the conversation critiques today’s journal/paywall/peer‑review ecosystem, exploring preprints, open annotation, crowd review, and how metrics like impact factor distort incentives. They also dive into how Fermat’s Library works, how to actually read and annotate papers, why math/physics are inherently “democratic,” and even use sports and Game of Thrones to illustrate scientific thinking.

Key Takeaways

Human backstories make scientific ideas more understandable and memorable.

Knowing that Feynman’s QED work started from watching plates wobble, or that GANs came from a bar conversation, reframes papers as chapters in a longer, messy story rather than isolated eureka moments. ...

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Fermat’s Library aims to turn dense PDFs into living, annotated documents.

Through Journal Club, the Margins app, and the Librarian browser overlay on arXiv, Fermat’s Library lets anyone add LaTeX/Markdown annotations, clarify missing steps, and discuss papers at the locus of the text, gradually making seminal work more accessible over time.

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The current journal/paywall model misaligns incentives and wastes public funding.

Governments fund research, scientists write and review for free, then publicly funded universities buy the same content back from for‑profit publishers. ...

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Preprints and overlay journals show viable paths toward open, faster science.

ArXiv and bioRxiv let results appear years before journal publication, enabling rapid iteration in fields like machine learning. ...

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Reading papers well requires embracing confusion, iteration, and strategic skimming.

The Batalhas emphasize that papers are not optimized for clarity. ...

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Annotations and notes should be written as if you are teaching your future self.

Right after understanding something, you’re uniquely positioned to explain it to a future version of you who has forgotten. ...

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Small, well-crafted mathematical nuggets on platforms like Twitter can spark deep learning.

By compressing one precise idea (a prime fact, a geometric animation, a historical math anecdote) into 280 characters, Fermat’s Library leverages the dopamine hit of “learning something new” to pull people down more serious rabbit holes in math and physics.

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Notable Quotes

Papers are not optimized for clarity; they’re optimized for fitting into a few journal pages.

Luís Batalha

If you’re struggling to read a paper, it might not mean the material is that hard.

João Batalha

We might be past the event horizon for paywalled journals. The model just doesn’t make sense.

Luís Batalha

You’re the best possible teacher for your future self right after you’ve understood something.

João Batalha

I really believe it’s possible to get everyone to love math or physics. It’s not a function of the student; it’s a function of how you reveal the hidden beauty.

Luís Batalha

Questions Answered in This Episode

If we redesigned the scientific publishing system from scratch today, what concrete architecture—technical and institutional—would you pick to replace journals, impact factors, and traditional peer review?

Lex Fridman talks with Luís and João Batalha, co‑founders of Fermat’s Library, about how we read, share, and build on scientific papers. ...

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How far can crowd-based annotation and review go before you need stronger forms of gatekeeping, and what should those gates look like in an open science ecosystem?

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What would a true “Paper 2.0” format include beyond static PDFs—interactive code, data, video, executable proofs—and how might that change how students learn and how credit is assigned?

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In practical terms, how can a grad student or early-career researcher use tools like Fermat’s Library to build reputation and signal quality outside the traditional journal hierarchy?

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What are the risks of turning science into a highly gamified, metric-driven online activity (upvotes, badges, karma), and how do we get the benefits of scale without reproducing the same incentive problems we see with impact factors?

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Transcript Preview

Lex Fridman

The following is a conversation with Luis and Joao Batella, brothers and co-founders of Fermat's Library, which is an incredible platform for annotating papers. As they write on the Fermat's Library website, "Just as Pierre de Fermat scribbled his famous Last Theorem in the margins, professional scientists, academics, and citizen scientists can annotate equations, figures, ideas, and write in the margins." Fermat's Library is also a really good Twitter account to follow. I highly recommend it. They post little visual factoids and explorations that reveal the beauty of mathematics. I love it. Quick mention of our sponsors: Skiff, SimpliSafe, Indeed, NetSuite, and Four Sigmatic. Check them out in the description to support this podcast. As a side note, let me say a few words about the dissemination of scientific ideas. I believe that all scientific articles should be freely accessible to the public. They currently are not. In one analysis I saw, more than 70% of published research articles are behind a paywall. In case you don't know, the funders of the research, whether that's government or industry, aren't the ones putting up the paywall. The journals are the ones putting up the paywall while using unpaid labor from researchers for the peer review process. Where is all that money from the paywall going? In this digital age, the cost here should be minimal. This cost can easily be covered through donation, advertisement, or public funding of science. The benefit versus the cost of all papers being free to read is obvious, and the fact that they're not free goes against everything science should stand for, which is the free dissemination of ideas that educate and inspire. Science cannot be a gated institution. The more people can freely learn and collaborate on ideas, the more problems we can solve in the world together, and the faster we can drive old ideas out and bring new, better ideas in. Science is beautiful and powerful, and its dissemination in this digital age should be free. This is the Lex Fridman Podcast, and here's my conversation with Luis and Joao Batella. Luis, you suggested an interesting idea. Imagine if most papers had a backstory section, the same way that they have an abstract. So, knowing more about how the authors ended up working on a paper can be extremely insightful, and then you went on to give a backstory for the Feynman QED paper.

Luís Batalha

Mm-hmm.

Lex Fridman

This was all in a tweet, by the way. We're doing tweet analysis today.

Luís Batalha

(laughs)

Lex Fridman

How much of the human backstory do you think is important in understanding the idea itself that's presented in the paper or in general?

Luís Batalha

I think this gives way more context to the work of, of scientists. I think people, a lot of people have this almost kind of romantic misconception that, uh, the way a lot of scientists work is almost as this sum of eureka moments where all of the sudden they sit down and start writing two papers in a row, and the papers are usually isolated, and when you actually look at it, it's the papers are, you know, chapters of a way more complex, uh, story. And, uh, the, the Feynman QED paper is a good example. So, Feynman was actually going through a pretty dark phase before writing that paper. It was he lost enthusiasm with physics and doing physics problems, and there was one time when he was in the cafeteria of Cornell, and he saw a guy that was throwing plates in the air, and he noticed that there was, when the plate was in the air, there were two movements there. The, the plate was wob- wobbling, but he also noticed that the, the Cornell symbol was rotating, and he was able to figure out the equations of motions, uh, the equations of motions of th- those, uh, plates, and that, uh, led him to kind of think a little bit about, uh, electron orbits in relativity, which led to the paper of, um, about quantum electrodynamics. So, that kind of reignited, uh, his interest in physics, and, uh, and ended up publishing the paper that led to the, his Nobel Prize basically. And I think it's, it's, there are a lot of really interesting backstories about papers that readers never get to know. For instance, we did, a couple of months ago, um, an AMA around, uh, a paper, a pretty famous paper, the GANs paper with Ian Goodfellow, and so we did an AMA where everyone was could ask questions about the paper and Ian was, uh, responding to those questions, and he also, he was also, uh, telling the story of how he got the idea for that paper in a bar.

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