i've def met smart reasonable adults who did well in math classes who later realized they did not understand this and were just manipulating expressions syntactically the whole time
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huh, i'm not quite sure what this means, can you say more about how you would think about groups?
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hmm so you mean you'd unwrap groups into like a set for the underlying set and then another set for the function describing the multiplication etc.?
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man that sounds exhausting but also super interesting that you managed to do it lol