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This is not right. There are infinitely many integers. There are infinitely many real numbers between each pair of integers. Thus there are more real numbers
by jstanley 2y ago
This is not right.
There are infinitely many integers.
There are infinitely many real numbers between each pair of integers.
Thus there are more real numbers than integers.
- n4r9 2y agoUnfortunately this line of argument doesn't quite work either. You could replace "real numbers" by "rational numbers" and it would still be true except for the last line. The size of the integers is the same as the size of the rationals. You have to think in terms of injective functions.