Is geometry truly the basis and foundation of all mathematics?

No. There are things like functors that cant be geometric.

>>9128018
Fuck off highschooler

>no QED at the ned

>>9128018
Peano axioms

>>9128127
Chicken broth

That has about the same relevance as your answer to OP's question

>>9128018
other way around. mathematics is the base. geometry is a convenient layer above.

File: 1-s2.0-S0168010215002989-gr1.jpg (50KB, 392x223px) Image search: [Google]

50KB, 392x223px

>>9128054
Anon I...

>>9128184
Thats a diagram you putz

>>9128018
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.

>>9128653
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

>>9128830
>t. Took intro to abatract algebra

>>9128135
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

>>9129185
Sauce?

>>9129188
https://math.stackexchange.com/questions/90393/why-euclidean-geometry-cannot-be-proved-incomplete-by-g%C3%B6dels-incompleteness-the

>>9129194
what about non-euclidean geometry?

>>9128018
It used to be, now it's subsumed by set theory

>>9129223
Which is subsumed by category theory