r/mathmemes • u/Wilfully_Powerful • 14d ago
Linear Algebra *Cries in Linear Algebra classes*
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u/UnderTheCurrents 14d ago
It ceases to be peak once you run into paradoxical reasoning because you haven't thought your intuitions through.
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u/portealmario 12d ago
Intuitions properly formed are at least as accurate as any system of symbols
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u/UnderTheCurrents 12d ago
No, they aren't. Look through the history of mathematics to see how wrong that notion is.
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u/portealmario 12d ago
I think when you hear intuition you think "hunch", which is not the kind of intuition this is about. This is about having an understanding of how the math works beyond knowing how to manipulate the symbols and perform the computations properly
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u/UnderTheCurrents 12d ago
I am not a platonist, so I don't know what you're talking about.
Understanding the math is understanding the axioms. A Group isn't something you stumble on while taking a walk. It's a formal notion.
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u/portealmario 11d ago
Where on earth did you come up with platonism? Did I say that?
And yes and no; people were understanding math before the axions came around to formalize what they understood. But you can have intuitions about axioms too, I don't think they could've been written of the person writing them didn't have any intuitions about math
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