Reverse mathematics is a framework for analysing the minimal axioms required to prove mathematical theorems by working within subsystems of second-order arithmetic. Its central concern is to establish ...

Algebra is the discipline of pure mathematics that is concerned with the study of the abstract properties of a set, once this is endowed with one or more operations that respect certain rules (axioms) ...

Combinatorics and discrete mathematics constitute the study of finite or countable structures and the algorithms that govern them. At its heart is enumeration: the art of counting arrangements, ...

A brainy riddle that's stumped mathematicians since World War II appears to have been cracked via artificial intelligence. OpenAI says one of its AI models has solved the "unit distance problem," a ...