In math terms you can have a space S with number of dimensions R and the math holds as long as R ≥ 1. The higher R goes, the dimensions become abstract and don't hold meaning like time or space. Even at R = 4 the 4th dim is often just treated as abstract.
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Proof by contradiction power
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Nope: he didn't succeeded in proving they couldn't be untied by contradiction, he really tried and managed to prove they could^^!
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Surely the point here is not about the maths, (cool but I don’t understand it) it is about how long you should try to force something which just doesn’t work because of a pre-conceived notion rather than doing a pivot to try the opposite.
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Nope: he didn't succeeded in proving they couldn't be untied by reductio ad absurdum, he really tried and managed to prove they could^^!
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Any n-sphere exists in n+1 spacial dimensions. So for example, what we normally think of as a 3D sphere is what mathematicians call a 2-Sphere https://en.m.wikipedia.org/wiki/N-sphere
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If you say "All horses are Black", to prove that statment wrong is not necessary to deduce it from theory that implies its biology and the chemestry and maybe evolution... You just have to find a horse of another color (much more easy).
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Can you please prove evolution? Not so “easy”.
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