do you have some kind of formula for that bijection?
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Makes one wonder why the need for the whole real number line then? Just a matter of magnitude? We could just use C*(0,1).
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Do the real numbers have compressibility similar to matter, or are they infinitely compressible so that they squeeze on a segment?
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Is this cos(-arccot(x))? This is very elegant, for most other such transformations you'd need to reason algebraically, not visually
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Does it mean there are not sets bigger than other (cardinality)?
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