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/sci/ - Science & Math

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6659570 No.6659570 [Reply] [Original]

Alright /sci/, mathematical physics can pretty much describe everything in the universe, with a few exceptions of course.

But what exactly is the most fundamental aspect of mathematical physics? Is it the notion of metric spaces, topologies?

Is it the notion of sets, and functions?

Is it the notion of tensors, number theory, analysis with geometry?

Or perhaps abstract algebra and logic creates all of the universe?

Just wondering what you all think is the best or most "fundamental" math that best describes the universe. I am aware it all draws upon each other, but perhaps there is a theory of everything for mathematics.

Lastly, how could such a theory be applied to serve humanity and life on Earth?

>> No.6659575
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6659575

Also, does anyone have more of these?

>> No.6659580
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>> No.6659583

>>6659570
Logic.
duh.
why is most "fundamental" important?

>> No.6659637

>>6659583
Isn't logic just the process of getting from one step to another using previous information, though?
As in, the means by which to formulate mathematics and all.

But I was referring not so much about mathematics as I was referring to mathematical physics. The most fundamental thing is important because the most fundamental mathematical tool in mathematical physics must therefore also be the most fundamental thing in physics.

>> No.6659642

>>6659637
That's why it's the most fundamental.
After that I'd say sets and functions since everything else you listed I can describe using these three things.

fundamental =/= important.
especially for physics.

>> No.6659648

>>6659570
I'd say differential geometry, but I start with F=ma whereas everyone else seems to start with dS=0 and there "simpletic space".

>> No.6659651

>>6659642
I see what you're saying now. But what I'm wondering now is, if logic is the most important thing necessary to understand mathematical physics (which I agree it is), how does logic relate to the workings of the universe as opposed to a system that we use to understand it?

>> No.6659671

>>6659651
you can build everything out of logic.
See mathematica principia by Russel and some other guy.

>> No.6659689

>>6659671
hmm, I will check it out, thanks!