Re:What makes maths beautiful?
by lomnakkus on Wednesday July 19, 2017 @07:07PM
(#14808774)
> Equality should at least have the property that
∀ f, x = y ⇒ f(x) = f(y)
My impression was that even that might be a bit contentious[1]. Well, maybe not contentious, but maybe... disputable? It also requires a theory of functions, or at least a syntax to derivation rules.
That was just to be absurdly nitpicky, I think I understand what you're saying here, and it's much appreciated.
My impression was that even that might be a bit contentious[1]. Well, maybe not contentious, but maybe... disputable? It also requires a theory of functions, or at least a syntax to derivation rules.
That was just to be absurdly nitpicky, I think I understand what you're saying here, and it's much appreciated.
[1] https://pdfs.semanticscholar.org/806a/92153c4b8d344edec45eec...