CJ on Mathematics and Science

Leibniz dreamed of machines that could calculate and reason. Three hundred and fifty years later, mathematics has created AI, a machine that can both calculate and reason—and thereby create new mathematics. Mathematics has become a tool for its own development. What is the role of human reasoning?

tisdag 10 november 2026

AI Calls for the Reeducation of Mathematics Teachers — But Is It Possible?

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AI is fundamentally changing mathematics education. When AI can explain mathematical concepts, solve equations, prove theorems and construct...
måndag 9 november 2026

Yang–Mills vs RealNucleus: Strong Force vs Coulomb

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The gauge theory of the Standard Model meant to explain why nuclei hold together has not yet been shown to exist as mathematics, and it does...
onsdag 4 november 2026

Fluid Mechanics Education After AI: From Equations to Discovery

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A fundamental change in how fluid mechanics can be taught  (or any technical subject) A traditional university course in fluid mechanics int...
tisdag 3 november 2026

Unresolved Problems of Quantum Mechanics Waiting for AI

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I asked chatGPT to write a post on unresolved problems in QM and this is what came out: Artificial Intelligence is now attacking major unsol...
onsdag 28 oktober 2026

Does Textbook QM Explain the Periodic Table?

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The rows of the periodic table have lengths 2, 8, 8, 18, 18, 32, 32, 50, … A schoolchild can ask why. Every textbook answers in a paragraph,...

Chirality: That Hands Exist, and Which Hand Wins

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The 2026 Nobel Prize in Chemistry went to Henri Kagan and Kenso Soai, for non-linear effects and autocatalysis in asymmetric organic synthes...

The Navier-Stokes Problem Is Not a Monument

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The Navier–Stokes problem has been advertised for more than twenty-five years as one of the great open questions of mathematics, with a mill...
tisdag 27 oktober 2026

We Look Once, Carefully, and Then Compute: Kant Synthetic a priori

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Kant's Question Kant asked how we can know anything about the world without looking at it. He called such knowledge synthetic a priori: ...

Three Existence Proofs in One Month = 0?

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This October has produced an unusual run of existence results. A finite-time singularity for the Navier–Stokes equations under a particular ...

OpenAI QCD Existence vs Leibniz and RealQM

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 Three Proofs in One Announcement On 26 October OpenAI announced that its internal models had produced three research results. In mathematic...
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Claes Johnson
Professor of Applied Mathematics KTH
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