Euclid after Computer Proof-Checking

Publication Date

1-1-2022

Document Type

Article

Publication Title

American Mathematical Monthly

Volume

129

Issue

7

DOI

10.1080/00029890.2022.2069985

First Page

623

Last Page

646

Abstract

Euclid pioneered the concept of a mathematical theory developed from axioms by a series of justified proof steps. From the outset there were critics and improvers. In this century the use of computers to check proofs for correctness sets a new standard of rigor. How does Euclid stand up under such an examination? And what does the exercise have to teach us about geometry, mathematical foundations, and the relation of logic to truth?.

Department

Computer Science

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