>>7639896 I agree partly. Many problems that math asks weren't there in the first place. Someone had to think of them first. And while your sense can "be tickled" by solving problems i dont think that making up problems does so.
Main reasons for me, -Extreme interest fueled probably by autism -Abstract concepts that can be applied to practically everything -A universal language that explains that which is observed and that which isn't -More autism
As far as i know, even in calculus one I'm baby tier compared to the maths my professor is working on his Ph.D. on.
He's working on how to eliminate infinitesimals in calculations having to do with decreasing the size of transisters on chips that are smaller than 32 nm. I dont even fucking know how he does that and teach 4 calculus classes a week.
As it's been said before, it happens quite often that a maths concept that used to be considered very abstract and useless finds an application in another science. For instance, consider imaginary numbers. At first it was just some mathematician's play toy and now it's our best tool to study periodicity and waves.
But most mathematicians, even though they probably feel good when what they do can help humanity, study maths out of passion. Because they like the challenge, because the think it's beautiful.
Earlier in this thread, maths were also compared to climbing Mt Everest. That's very true. Humans are conquerors. We climb every mountain on earth, we walk on the moon. Our hunger for conquest knows no boundary and maths is a huge world for us to explore.
tl;dr Maths are useful but mathematicians are mainly driven by autism.
>>7639875 There are a lot of real uses for math. It started out primarily as a tool for describing things about the world, and from there abstractions were made to expand the scope of familiar methods and clearly define which sorts of problems they apply to. Even when certain developments seem useless for the time being, they still all show (simplifying) that B follows from A. A lot of more modern applications such as simple, general modeling of a wide range of transport phenomena with fractional calculus, cryptography from number theory, nonstandard analytic approaches to Navier-Stokes, etc. have emerged as happy accidents from seemingly purposeless pure math constructs.
It's useful to think of it as a nuanced, complex tool for solving problems we may not know about by establishing fundamental truths independent from the physical world.
>>7639875 >What is the point of mathematics Without it we wouldn't be living the same way we do today >What drives it forward The same thing that drives liberal arts majors like feminism and philosophy >Why do people do it without a usage for it? Same as above
Pure mathematics is pretty fucking extraordinary. It's the same feeling you get when someone in engrish class writes a haiku and they're all happy and shit because they felt they've created something >b-but mathematics isn't gonna be a crucial study to whatever I work in later in life Yeah well the same thing could be argued for proper english grammar and literature. Yet your happy ass has no problem with analyzing the color blue or disproving an interpretation of the color blue. It doesn't matter though because they're just photons.
>>7639875 you can start to command massive amounts of data with comparatively simple means, and know definitively qualitative and quantitative facts about that data, be it organization of space, solutions to equations, ways to construct objects out of other given particular restrictions, and manipulate complex numerical and geometric systems in powerful ways.
and especially since it all seems to constantly be pointing towards deeper reasons all of these objectives are necessarily related and unified by simpler more abstract properties, it becomes very tempting to continue to push its limits, and to complete conjectures which often makes clearer the picture as a whole.
In the most basic sense maths is a tool. Math first started as fractions way back when to divide resources amongst people/families/groups. 2/3rds of the crop harvest goes to the people in the north 1/3 goes to the people in the south. From that 2/3, 1/6th goes to x family, 1/6 to to y family etc.
Not sure if 100% true but the oldest written text known to man was about beer rations being split up evenly amongst the people
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