I think my easy answer is to say that infinite numbers are not in N. I
like to think of it with a decimal point in front, to form a number
between 0 and 1. Yes you have the rational numbers which eventually
have a repeating pattern (or stop). But you also have in among them
the irrational numbers which are uncountable. (Hey this reminds me of
the fi among the Fi.)

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To ask what is the next number after an infinite number, like
11111...11111... is similar asking what is the next real number after
0.11111...11111...
Tom
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