A 125-page proof posted to arXiv may represent a huge breakthrough in geometric measure theory. This problem has implications in fields like encryption, computer science, and number theory. How ...

That simple statement has been surprisingly difficult to prove. A Tower of Conjectures Until Fefferman made a startling discovery in 1971, the conjecture was viewed as a curiosity.

The first step in this process is to map any possible mathematical statement, or series of statements, to a unique number called a Gödel number. The slightly modified version of Gödel’s scheme ...

The Deep Link Equating Math Proofs and Computer Programs. By Sheon Han. October 11, 2023. Mathematical logic and the code of computer programs are, ... each line is “evaluated” to yield a single ...

In this non-Euclidean geometry, we have a new set of axioms and ground-rules, and a new set of statements of absolute truth we can prove. These rules are extremely useful for navigating around ...

Mathematicians Wrote a Proof for a 100-Year-Old Problem—and ... In an NYU statement, ... The next Fields Medal, which is limited to mathematicians under 40, will be given in 2026. The math, ...

Google claims math breakthrough with proof-solving AI models AlphaProof and AlphaGeometry 2 solve problems, with caveats on time and human assistance. Benj Edwards – Jul 25, 2024 5:54 pm | 161 ...

A 125-page proof posted to arXiv may represent a huge breakthrough in geometric measure theory. This problem has implications in fields like encryption, computer science, and number theory.