Comment by btilly
2 years ago
Doesn’t a foundation have to change and adapt in relation to what is grounded in it?
No. An infinite number of possible papers about number theory could be written without having to change ZFC.
There can’t possibly be any structure whatsoever without time, or, more concretely, at least the memory of events, recollecting distinctive and contrasting entropic signatures. So, mathematics manifesting as, of, and for structure, wouldn’t it require, first and foremost, a treatment from physics? Regular or meta?
ZFC stands as a counterexample.
Building on ZFC, we can build mathematical structures that represent the universe with time. Not the other way around.
No comments yet
Contribute on Hacker News ↗