"All Cretans are liars", said Epimenides, a Cretan. But this means that his statement must be a lie too. But then it is false that Cretans are liars and the statement must be true. So what now?

This is a huge advance for AI to make big progress with better reasoning and better math. Artificial general intelligence (AGI) with advanced mathematical reasoning has the potential to unlock new ...

Talia Ringer is in the Siebel School of Computing and Data Science, University of Illinois at Urbana–Champaign, Urbana, Illinois, 61801, USA. Read the paper: Olympiad-level formal mathematical ...

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 ...