Subscribe now

Mathematics

Mathematicians found – and fixed – an error in a 60-year-old proof

As part of a project to make mathematics machine-readable, mathematicians have discovered an error in an important proof. Thankfully there was a fix, but the incident highlights the potential for other errors to be lurking in the mathematics literature

By Alex Wilkins

26 December 2024

Oops! Try that again

Tetra Images/Alamy

An error in a proof underlying a widely used branch of modern mathematics was accidentally discovered by mathematicians while translating old proofs to a computer language. The mistake was swiftly fixed, but mathematicians say that the episode highlights the importance of making maths computer-readable to catch other possible examples.

Most modern mathematics resides in research papers and textbooks, and relies on mathematicians checking each other’s work to make sure it is correct. A proof is essentially a social construct – if enough mathematicians are satisfied that the logical steps of a proof are…

Sign up to our weekly newsletter

Receive a weekly dose of discovery in your inbox! We'll also keep you up to date with New Scientist events and special offers.

Sign up

To continue reading, subscribe today with our introductory offers