A statement can be true or false. But as Kurt Gödel demonstrated, there will always be mathematical assumptions that can ...

OpenAI makes big splash with AI finding math problem breakthrough. Real lesson is to use AI to find counterexamples. An AI ...

Only a few months ago, the question felt mostly philosophical: if artificial intelligence can help solve open math problems, ...

Three mathematicians have laid out proof that solves a long-standing problem in mathematics. Even the mathematician—an Abel ...

A new study locates the brain's symbolic engine for compositional generalization within the ventral premotor cortex.

OpenAI announced this week that one of its general-purpose reasoning models made a breakthrough that has grabbed the ...

OpenAI says an AI reasoning model disproved an 80-year-old Erdős geometry conjecture, raising new questions about AI’s role ...

A general-purpose reasoning model, not a math-trained system, produced a new family of point configurations that broke Paul ...

Altman says that personal AGI should be accelerating everyone in achieving their goals, and that OpenAI now needs to increase ...

OpenAI has revealed a breakthrough proof that overturns a nearly 80-year-old geometry conjecture posed by Paul Erdős.

Kaleidocycles are flexible polyhedral structures composed of rigid tetrahedra connected along their edges to form rotating rings. Each tetrahedron is a solid 3D polygon with four triangular faces ...