/sci/ - Science & Math

File: 44 KB, 1280x659, Diagram_of_the_algebraic_proof_of_Pythagorean_theorem.png [View same] [iqdb] [saucenao] [google]

Anonymous Fri Aug 25 07:12:04 2017 No.9128018 [Reply] [Original]

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

>>	Anonymous Fri Aug 25 07:49:38 2017 No.9128054 No. There are things like functors that cant be geometric.

>>	Anonymous Fri Aug 25 08:05:18 2017 No.9128065 >>9128018 Fuck off highschooler

>>	Anonymous Fri Aug 25 08:37:03 2017 No.9128099 >no QED at the ned

>>	Anonymous Fri Aug 25 09:01:37 2017 No.9128127 >>9128018 Peano axioms

>>	Anonymous Fri Aug 25 09:06:29 2017 No.9128135 >>9128127 Chicken broth That has about the same relevance as your answer to OP's question

>>	Anonymous Fri Aug 25 09:09:27 2017 No.9128140 >>9128018 other way around. mathematics is the base. geometry is a convenient layer above.

>>	Anonymous Fri Aug 25 09:29:50 2017 No.9128184 File: 50 KB, 392x223, 1-s2.0-S0168010215002989-gr1.jpg [View same] [iqdb] [saucenao] [google] >>9128054 Anon I...

>>	Anonymous Fri Aug 25 10:09:52 2017 No.9128270 >>9128184 Thats a diagram you putz

>>	Anonymous Fri Aug 25 14:04:13 2017 No.9128653 >>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

>>	Anonymous Fri Aug 25 15:47:01 2017 No.9128830 Graph theory has little to do with geometry.

>>	Anonymous Fri Aug 25 15:51:13 2017 No.9128836 >>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.

>>	Anonymous Fri Aug 25 16:37:18 2017 No.9128933 geometry isn't very interesting

>>	Anonymous Fri Aug 25 18:30:10 2017 No.9129105 >>9128830 >t. Took intro to abatract algebra

>>	Anonymous Fri Aug 25 19:38:38 2017 No.9129182 >>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

>>	Anonymous Fri Aug 25 19:42:01 2017 No.9129185 geometry is decidable so no

>>	Anonymous Fri Aug 25 19:44:20 2017 No.9129188 >>9129185 Sauce?

>>	Anonymous Fri Aug 25 19:48:25 2017 No.9129194 >>9129188 https://math.stackexchange.com/questions/90393/why-euclidean-geometry-cannot-be-proved-incomplete-by-g%C3%B6dels-incompleteness-the

>>	Anonymous Fri Aug 25 20:08:36 2017 No.9129221 >>9129194 what about non-euclidean geometry?

>>	Anonymous Fri Aug 25 20:10:42 2017 No.9129223 >>9128018 It used to be, now it's subsumed by set theory

>>	Anonymous Fri Aug 25 23:53:38 2017 No.9129485 >>9129223 Which is subsumed by category theory

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