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Genre: Science & Technology
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RYD date created : 2024-11-12T07:49:25.321667Z
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Top Comments of this video!! :3
My answer, as to what I think maths is:
The universe works on a logic, logic that 1+1 is 2, 2+1 is 3 and 3+1 is 4 etc (as Galileo said)
This logic is sometimes simple, and some times it is not so simple. So we have made an entire new language (symbols and stuff) to write down this complex language into a not so complex way. So that we can understand it better as well as explain it to other people who would also want to know this "logic" as to how things works.
Now how is it any different from other fields like physics and chemistry? Because in physics and chemistry our main goal is to understand how the universe works. If we were to find a new theory we would have to redefine our understanding of the universe in such a way that it fits in the newly found phenomenon.
On the other hand in maths, we have some axioms that we have just believed to be true (as we observed them in the real world) and then we use them to figure out every thing that you can do with it. it might or might not exist in the real world but our main goal is to develop new tools (like calculas, algebra, geometry, fractals, complex number and stuff) which might be used later on as we discover new phenomenons in science
Idk, this is how I understood it in school
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Math is like a language we discover rather than purely invent. It allows us to write texts and draw diagrams that follow strict logical rules, describing the patterns and structures of the universe with precision. Unlike natural languages, which can be ambiguous or subjective, mathematics strives for absolute clarity and objectivity. We continuously expand this language by finding new concepts, enabling us to describe more aspects of reality. Those who learn it gain the ability to speak write and draw within this framework, revealing deeper truths about the Universe.
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I’ve noticed that, in Geometry problems, you are given a drawing, told the magnitude of at least one aspect of the drawing (e.g. length of a line; area of a circle), and then asked to find the magnitude of some other aspect of the drawing, WITHOUT being told any coordinates. Because coordinates are not given, nor is the function equation of any of the lines, you therefore cannot “jump in” and apply Calculus, but rather, are forced to resort to using Algebra.
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Up to mistakes and ambigous definitions yes. Ofc humans doing maths have only reliability in following the rules, not determinism. So formalisation can't really ever close up, we can't have unconditional proofs, or checks, but thats a different standard. Basically we boil diwn checks and definitions diwn ti destinctions as simple as standing or laying down, and if we can reason in a way we can check is destinct then that's as good as we can get.
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@saikiran4512
4 months ago
3b1b voice is so iconic in math world
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