Did you know that there is exactly the same number of numbers between -1 and 1 as there are in the entire set of real numbers?

isolatedvertex:

catsdontgravity:

This can be proven by finding a bijection on the interval (-1, 1) which spans all of the Real numbers. Yay math!

And this is tagged “linear algebra” why? Any bijection you can find between ]-1,1[ and R is certainly not linear.

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