With automated proof-checkers, a problem can be broken up into small chunks, solved bit-by-bit, then reassembled with ...

By encoding mathematical statements into numbers, mathematician Kurt Gödel used ordinary arithmetic to check whether a ...

A week after OpenAI made headlines with an A.I.-generated proof, a new “declaration” by 16 experts raises concerns that the ...

A statement can be true or false. But as Kurt Gödel demonstrated, there will always be mathematical assumptions that can neither be proven nor disproven ...

It’s a weird time to be studying computer science. Recent grads have a higher unemployment rate than those in just about every other major—yes, even philosophy. The internet is littered with rants ...

J. William Carpenter is an economist who writes financial topics. He is an author of published works for higher education and business clients. Katie Miller is a consumer financial services expert.

The tipping point came in the summer of 2025. That July, several artificial intelligence models solved five out of six problems at the International Mathematical Olympiad, an annual challenge for some ...

Tech expert ThioJoe demonstrates how Excel now integrates Python for powerful workflows. 25-year-old Noelia Castillo dies by legal euthanasia in case that drew national spotlight in Spain Health ...

Andrej Karpathy is pioneering autonomous loop” AI systems—especially coding agents and self-improving research agents—while advancing AI-native education through Eureka Labs and ultra-minimal ...

Andrej Karpathy created microGPT, a minimal GPT using only 243 lines of Python code. The project simplifies LLM architecture to basic mathematical operations without external libraries. Karpathy's ...

Download PDF Join the Discussion View in the ACM Digital Library The mathematical reasoning performed by LLMs is fundamentally different from the rule-based symbolic methods in traditional formal ...