how do we know that we're different points, or a single point having a solipsistic conversation with itself?"pic.twitter.com/vcVk1SNTs4
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the principle is this: without any additional structure, unlabeled points are not the lattice Z^n. They are a Z^n-torsor. You need a little extra structure in order for the space to be separated (Uausdorrf). the point might say "well, if you see exactly the same thing as me..
how do we know that we're different points, or a single point having a solipsistic conversation with itself?"pic.twitter.com/vcVk1SNTs4
...aren't the points themselves just an artifice.
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