English

Mathematics and the formal turn

History and Overview 2023-11-07 v2 Logic

Abstract

Since the early twentieth century, it has been understood that mathematical definitions and proofs can be represented in formal systems systems with precise grammars and rules of use. Building on such foundations, computational proof assistants now make it possible to encode mathematical knowledge in digital form. This article enumerates some of the ways that these and related technologies can help us do mathematics.

Keywords

Cite

@article{arxiv.2311.00007,
  title  = {Mathematics and the formal turn},
  author = {Jeremy Avigad},
  journal= {arXiv preprint arXiv:2311.00007},
  year   = {2023}
}
R2 v1 2026-06-28T13:07:47.339Z