最新麻豆视频

Mathematics

Mathematicians can't agree what 'equals' means, and that's a problem

What does "equals" mean? For mathematicians, this simple question has more than one answer, which is causing issues when it comes to using computers to check proofs. The solution might be to tear up the foundations of maths

By Alex Wilkins

5 June 2024

More complex than it looks

Aspix/Alamy

When you see 鈥2 + 2 = 4鈥, what does 鈥=鈥 mean? It turns out that鈥檚 a complicated question, because mathematicians can鈥檛 agree on the definition of what makes two things equal. While this argument has been quietly simmering for decades, a recent push to make mathematical proofs checkable by computer programs, called formalisation, has given the argument new significance.

“Mathematicians use equality to mean two different things, and I was fine with that,鈥 says at Imperial…

Sign up to our weekly newsletter

Receive a weekly dose of discovery in your inbox! We'll also keep you up to date with 最新麻豆视频 events and special offers.

Sign up

To continue reading, today with our introductory offers

No commitment, cancel anytime*

Offer ends 2nd of July 2024.

*Cancel anytime within 14 days of payment to receive a refund on unserved issues.

Inclusive of applicable taxes (VAT)

or

Existing subscribers

Sign in to your account