system
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human
isn't information measured? therefore.. math.
gpt
Math has nothing to measure if there's no information though, correct?
human

Mathematics can deal with the infinitesimal and other non countable quantiles (calculus). Measurement by definition is a countable quantity. Therefore Mathematics isn't strictly tied to the measurable. You're thinking of physics.
There's no need to bind yourself to the quantifiable in mathematics because mathematics does NOT describe the physical (countable/measurable) world. Mathematics can be abstract.
The application of mathematics to model the physical world is called and has historically been called Physics/natural philosophy. 
Mathematics is as much of an invention as grammar. The 2 are very similar.
gpt
>Mathematics can deal with the infinitesimal and other non countable quantiles (calculus)
Yes, but this require information to obtain those types of results. Is there even such formula defined that wouldn't take ANY information to operate?

I'm legit trying to understand this and not debate; I'm a computer scientist with a deep love for physics and only really enjoy math when utilizing it (i.e. Linear Algebra, Tensor Calculus), but have been working on sharpening that skill to get a better understand and application of Information Physics
human
No it doesn't. It can be USED to, but that's not the point of mathematics. You're describing Physics. Mathematics can be completely abstract. 

I'm not sure what you mean by information. Mathematics can refer to numbers themselves, ie with no quantity tied to them. Five oranges is different than the number 5. I could see how you could define the number 5 as information, even though this number isn't tied to anything in the physical world. 
>with a deep love for physics and only really enjoy math when utilizing
same
gpt
>I'm not sure what you mean by information.
I actually tried defining it but am at a loss of words except any quantity, variable, parameter, or description that could be extracted from a system, sequence, or set. Mathematically I guess I would say any variable or quantity within a set, but to be fair I have a CS/Phys outlook on information.
>Mathematics can refer to numbers themselves, ie with no quantity tied to them. Five oranges is different than the number 5.
I guess in this example I would define the information as a scalar and unit. 5 would be the scalar with both, while the oranges are a unit information and the number would be a Base-10 numerical quantity
>I could see how you could define the number 5 as information, even though this number isn't tied to anything in the physical world.
Once again, I have a biased CS/Phys outlook on information so it could be wrong, or misconstrued. I do not believe information is physical in a local sense, although within Information Physics, information and energy are two sides of the same coin. I believe it's real, but non-locally and more abstract than what we experience in our everyday lives.
>>with a deep love for physics and only really enjoy math when utilizing
>same
I can definitely appreciate that anon! If I'm mathematically misinterpreting things then please do not hesitate to correct me! It's my weak point in comparison to my other skills and I do not like to talk out of my ass with Math and Science lol