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Re:How many floating-point numbers are in the interval [0,1]? by vog on Thursday March 02, 2017 @12:34PM (#13776132)
Yes, that was exactly my line of thinking.

One minor nitpick: f(x)=1/x maps [-1,1] to [-inf,-1]u[+1,+inf] ... that is, 1 and -1 are in both sets and mapped onto themselves. However, this detail doesn't affect the argument much.

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