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We need to switch to the scheme that converts name/description to an integer for that. If you mean the repeating decimal, I don't know if it's before or after pi because I can't identify (name) their locations.

It's the same argument. If I can accept that there are more reals than reals with finite descriptions, why can't there be integers without finite descriptions/positions?

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> If I can accept that there are more reals than reals with finite descriptions, why can't there be integers without finite descriptions/positions?

Because the integers are defined as the finite successors to the number 0 and their additive opposites. See, for instance, the construction section of: https://en.m.wikipedia.org/wiki/Integer

You can start talking about numbers that can't be constructed in this way, but then you've ceased to be talking about the integers.

Is the size of the set of integers an integer?

No, usually the cardinalities of infinite sets are represented by things called aleph numbers: https://en.m.wikipedia.org/wiki/Aleph_number.

But it isn't, in any case, an integer.

Thanks! That to me is the most useful response to my ramblings today!

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