Is geometry truly the basis and foundation of all mathematics?
Can everything in mathematics be represented and studied by it?
Is geometry truly the basis and foundation of all mathematics?
No. There are things like functors that cant be geometric.
Fuck off highschooler
>no QED at the ned
Peano axioms
Chicken broth
That has about the same relevance as your answer to OP's question
other way around. mathematics is the base. geometry is a convenient layer above.
user I...
Thats a diagram you putz
no but you should always try to convert problems into geometric ones because the brain has more neurons dedicated to that way of thinking
Graph theory has little to do with geometry.
Agree.
From historical point of view, math was geometry. But even the egypts and greeks knew that not everything could be backed by geometry.
geometry isn't very interesting
>t. Took intro to abatract algebra
He asked if Geometry is the basis and foundation of all mathematics.
It is not, so I replied with the actual basis and foundation of all mathematics
geometry is decidable so no
Sauce?
what about non-euclidean geometry?
It used to be, now it's subsumed by set theory
Which is subsumed by category theory