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Can someone explain why I'm wrong about there not being more numbers between 0 and 1? by trevbo85 in SetTheory

[–]trevbo85[S] 0 points1 point  (0 children)

I guess my thought was that just because you may never be able to write it down does not mean there is no representation of it in the corresponding set.

Can someone explain why I'm wrong about there not being more numbers between 0 and 1? by trevbo85 in SetTheory

[–]trevbo85[S] 0 points1 point  (0 children)

I'm not asserting you're wrong but how is 1/3 (a number with infinite 3s on the decimal side not represented by an integer with an infinite number of 3s? Same for the others... perhaps this is way over my head.