alright just for fun: AMA but only about math, will attempt to speed-explain stuff with as few symbols and equations as possible and see what happens
(esp happy to field questions about stuff that seems basic to you and that you feel like you should've gotten a long time ago!)
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honestly this one confuses me. i feel like i understood groups immediately and have some trouble getting into the mindset of being confused about them. can you say more? is it like "why are these the right axioms? why not more axioms? why not fewer axioms? why axioms at all?"
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hmm interesting! can you say more? let's take rotations of a sphere because i think that's a nice "physical" example you can really work with "hands-on" 😛 is it confusing how this satisfies the group axioms or confusing why the group axioms are relevant or something else?
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Despite the name, this video is really about answering your question (the short answer is groups encode the concept of symmetry) youtube.com/c/3blue1brown/
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