Is geometry truly the basis and foundation of all mathematics?

Is geometry truly the basis and foundation of all mathematics?
Can everything in mathematics be represented and studied by it?

Other urls found in this thread:

math.stackexchange.com/questions/90393/why-euclidean-geometry-cannot-be-proved-incomplete-by-gödels-incompleteness-the
twitter.com/SFWRedditVideos

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?

math.stackexchange.com/questions/90393/why-euclidean-geometry-cannot-be-proved-incomplete-by-gödels-incompleteness-the

what about non-euclidean geometry?

It used to be, now it's subsumed by set theory

Which is subsumed by category theory