David Bessis: What Mathematics Really Is and How to Learn It

What is mathematics, really? Mathematician David Bessis joins me to argue that math isn't about numbers in a Platonic realm or a meaningless game of symbols—it's a cognitive technology for rewiring your brain. We explore why the official definitions of mathematics have been unresolved for 2,300 years, why understanding something means finding it obvious, and how the gap between a beginner and Terence Tao looks less like genetic destiny and more like compound interest on intuition. When asked what mathematics fundamentally is, his answer cuts through millennia of philosophy: it's what happens in your head when you pretend something is true until it feels real. LINKS MENTIONED: Papers, books, websites: - https://davidbessis.substack.com/ - https://scholar.google.com/citations?user=YmJL9KwAAAAJ - https://amazon.com/dp/0300283288?tag=toe08-20 - https://davidbessis.substack.com/p/the-magic-of-mathematical-intuition - https://davidbessis.substack.com/p/weve-been-wrong-about-math-for-2300 - https://arxiv.org/abs/math/9404236 - https://amazon.com/dp/0387900926?tag=toe08-20 - https://davidbessis.substack.com/p/the-curious-case-of-broken-theorems - https://mathworld.wolfram.com/FermatsLastTheorem.html - https://xenaproject.wordpress.com/2024/12/11/fermats-last-theorem-how-its-going/ - https://gwern.net/doc/math/1979-hersh.pdf - https://en.wikipedia.org/wiki/Problem_of_universals - https://plato.stanford.edu/entries/set-theory/zf.html - https://imperialcollegelondon.github.io/FLT/blueprint/ - https://amazon.com/dp/1015393233?tag=toe08-20 - https://annals.math.princeton.edu/2015/181-3/p01 - https://arxiv.org/abs/math/0610778 - https://pi.math.cornell.edu/~bts82/events/homotopyF20/notes/bar-construction-typed.pdf - https://www.edge.org/conversation/reuben_hersh-reuben-hersh-1927-2020 - https://mathshistory.st-andrews.ac.uk/Biographies/Ramanujan/ - https://amazon.com/dp/1107536510?tag=toe08-20 - https://viennot.org/abjc-lectures.html - https://pdf.sciencedirectassets.com/272332/1-s2.0-S0021869306X06555/1-s2.0-S0021869305006150/main.pdf Videos: - https://youtu.be/tYgiVnQubyw - https://youtu.be/RX1tZv_Nv4Y - https://youtu.be/73IdQGgfxas - https://youtu.be/lhpRAWxvY5s - https://youtu.be/rJz_Badd43c - https://youtu.be/c8iFtaltX-s - https://youtu.be/81sPQGIWEfM - https://youtu.be/wbP0KjWm0pw - https://youtu.be/mTwvecBthpQ - https://youtu.be/_sTDSO74D8Q - https://youtu.be/DeTm4fSXpbM SOCIALS: - Twitter: https://twitter.com/TOEwithCurt - Discord Invite: https://discord.com/invite/kBcnfNVwqs Guests do not pay to appear. Theories of Everything receives revenue solely from viewer donations, platform ads, and clearly labelled sponsors; no guest or associated entity has ever given compensation, directly or through intermediaries. Theories of Everything with Curt Jaimungal features long-form, technically detailed interviews with leading researchers in physics, mathematics, consciousness, and philosophy, exploring topics at the level of active research. For academics, graduate students, and anyone seeking depth beyond popular science. SPONSOR: I subscribe to The Economist for their science and tech coverage. As a TOE listener, get 35% off! No other podcast has this: https://economist.com/TOE FOLLOW: Substack | Spotify | YouTube | Twitter Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices