future of maths

the realm of mathematics is as infinite as the mind is able to create

shape never existed before humans, we made them, to define the world around us. as long as there are new things to define there will be use in math

t. real scientist on math

>>9121656
New problems lead to new methods.

I will admit it seems like most of the low-hanging fruits have been picked already. However, you cannot rule out the possibility until you have tried everything.

>>9121656
just wait for the proof of collatz and riemann hypothesis

also IUT overshadows differentiation / integration

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>>9121656
Is that Efrim?

>>9121705
Charlie Manson.

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>>9121699
>IUT

>>9121674
>shape never existed before humans, we made them
So rocks had no shape?

>>9121656
>differentiation / integration?
They really connect to this world and are useful in physics, engineering and a great number of areas of mathematics connecting to intuitive (and coming from real life) ideas. They're like addition, VERY basic and VERY useful.

>>9121720
>They're like addition, VERY basic and VERY useful.
Yeah, that's kind of what I was getting at with this thread. Whether there are any more really fundamental discoveries to be made still with mathematics or if we're already past all the big stuff and just stuck picking off minor, way less profound details from here on out.

>>9121723
If we push the comparison calculus/addition, calculus is the addition of the smart man. One of the very basic tools of mathematics. On the other hand a smarter human being may treat categories or tools of set theory and logic as such.

Like the other Anon said, math is infinite, but is also limited by how smart we are as human beings. Some aliens may have found a better model to interpret reality which does not rely heavily on integrals and derivatives, because of a nature of reality which we do not already know.

>>9121656
>anything higher than the little math I know is too obscure to be useful
idiot

>>9121757
ok, well give me an example then. Be more constructive with your criticism.

>>9121656
Calculus isn't that profound, it creates lots of philosophical problems with physics etc. Most math still needs to be given a real geometric interpretation, the meaning of most discoveries is still obscure.

>>9121763
>it creates lots of philosophical problems with physics
Never heard about that before. Sounds interesting, could you elaborate?

>>9121764
Like the issue of whether space is discrete or continuous, and all the infinities in quantum field theory. See Baez's "Struggles with the Continuum": https://johncarlosbaez.wordpress.com/2016/09/08/struggles-with-the-continuum-part-1/

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>>9121773
>you need a continuum to define limits and calculus

>>9121909
depends on the future of science desu
if we start using an aethor or tesla electric universe theory we might discover new math to prove those theories.

>>9121656
nah but it will grow to the extent that an individual finds it impossible to do anything more than specialise on a tiny facet of hyperspecific area.

Technological peripherals and biological replacements are the future.

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>>9121934
>discover
We already have it buddy

>>9121715
not the anon you replied to but i share his philosophy.

rocks have shape as much as we may define the shape of a rock. we do a similar thing for all mathematical sciences

>>9121705
charles manson u plebbbbb

>>9121761
literally any fucking math? anything near lie theory has deep connections with physics, algebraic geometry keeps finding applications via computational packages, literally any field of math keeps making gigantic leaps forward, you just don't know any of it because you never learned any math

>>9123703
Are you seriously suggesting new applications of lie theory and algebraic geometry are on par with the discovery of differentiation and integration? I don't think you understand the topic of this thread.

>>9121699
what is IUT? sry engineer here

>>9124756
>what is IUT? sry engineer here
https://en.wikipedia.org/wiki/Inter-universal_Teichm%C3%BCller_theory