Mathematics stopped being defined by reality – and started to invent new ones(nature.com)

3 pointsby Isaiah____3 ปีที่แล้ว1 comments

Mathematics stopped being defined by reality – and started to invent new ones

https://www.nature.com/articles/d41586-023-00087-0

1 comments

necovek3 ปีที่แล้ว

While this article stipulates how this has been the case since 1930, I'd argue that it's been the case since early 19th century too (tbh, before checking, I thought it was late 19th):

https://en.m.wikipedia.org/wiki/Non-Euclidean_geometry#Disco... :

"Bolyai ends his work (from 1830) by mentioning that it is not possible to decide through mathematical reasoning alone if the geometry of the physical universe is Euclidean or non-Euclidean; this is a task for the physical sciences."