Mathematics in the Age of the Turing Machine
Thomas Hales
TL;DR
This paper surveys the role of computer calculations and formal proofs in modern mathematics, highlighting how computational methods influence mathematical reasoning and proof validation.
Contribution
It provides a comprehensive overview of the integration of computer-assisted proofs and formal verification in contemporary mathematical practice.
Findings
Computational proofs are increasingly accepted in mathematics.
Formal proof systems are advancing mathematical rigor.
Computer-assisted methods expand the scope of provable theorems.
Abstract
The article gives a survey of mathematical proofs that rely on computer calculations and formal proofs.
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