Articles · 3 articles

1. Mathematicians' Mathematics, or Mathematics Without Mathematicians?

   2026-09-14

   One week in September 2026: a prime-gap record stands for just three days, Navier–Stokes blowup falls to ten thousand AI agents, and twenty-five Fields Medalists sign a joint statement. Proofs are now being produced far faster than humans can digest them, so who will put up the next beacons? Is mathematics still the mathematicians' mathematics?
   
2. Nolan's The Odyssey Review: A Myth Made Small

   2026-08-25

   By avoiding CGI, Nolan's The Odyssey leaves its mythic set pieces looking cheap: the Sirens' song has no allure, and the gods' islands and the underworld feel shrunken. Its reflection on violence clashes with the final slaughter, and the film never achieves the grandeur of an epic.
3. What Is Mathematics?

   2026-08-17

   Is mathematics discovered or invented? From Plato and Euclid, through non-Euclidean geometry, Cantor's infinities and the limits drawn by Gödel and Turing, to the contemporary answers of Penrose, Deutsch, Hamkins and Wolfram, this essay breaks "What is mathematics?" into four questions: ontology, truth, epistemology and accessibility. It ends with the observer who is actually doing the mathematics.