Can we make artificial intelligence impervious to adversaries who want to twist the technology to nefarious ends? Though AI ...

At 25, Kurt Gödel proved there can never be a mathematical “theory of everything.” Columnist Natalie Wolchover explores the implications. In 1931, by turning logic on itself, Kurt Gödel proved a pair ...

Can advanced mathematics decode the exotic geometries of a psychedelic trip to unlock a new science of reality?

Adult participation in self-directed professional training has risen recently. This increase occurs as professionals ...

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 ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal ...

A new benchmark pitting AI against previously unseen maths problems shows systems still fall short of top human expertise.

Psychedelic drug experiences are among the most fascinating but mysterious journeys of the human mind. Long the domain of ...

Most people wouldn't think that it would take rigorous mathematical proof to show how many folds it takes to make a donut shape out of paper. Yet, no one could quite figure it out until recently. How ...

The 10th European Set Theory Conference continues a series that began in 2007. Since its first edition, the European Set Theory Conference has been a key venue for advancing research in the field ...

INSTEAD of merely revising his former treatise, Prof. Love has written a new one; the result is that we have two works by the same author, in some ways contrasting, in others complementary. And as in ...