Why mathematics is not merely formulaic: an argument that to write a mathematical proof is tantamount to inventing a story. In The Meaning of Proofs, mathematician Gabriele Lolli argues that to write ...

This book presents reverse mathematics to a general mathematical audience for the first time. Reverse mathematics is a new field that answers some old questions. In the two thousand years that ...

Marijn Heule turns mathematical statements into something like Sudoku puzzles, then has computers go to work on them. His proofs have been called “disgusting,” but they go beyond what any human can do ...

The mathematicians Günter Ziegler and Martin Aigner have spent the past 20 years collecting some of the most beautiful proofs in mathematics. Paul Erdős, the famously eccentric, peripatetic and ...

News that large language models (LLM) have made major advances in solving Erdős problems – a set of problems formulated by the renowned 20 th-century mathematician Paul Erdős – has created an ...

One of the great discoveries of 20th century mathematics was that any dispute about the validity of a mathematical proof can always be resolved. That is the case put forward by the English ...