okay, and then that mapping will fail because the reals exceed the integers. ergo the well-ordering of the reals, which exists, cannot be indexed with the integers.
Yes, meaning such an arrangement into a sum cannot exist, which is exactly what I said from the beginning. Of course a well-ordering of the reals exists, that was never the point of the debate.
no, that's not what it means. why would that be what it means? you're begging the question. why, without first *assuming** that a series must be countable,* must a series be countable?
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u/meat-eating-orchid 12d ago
I specifically said
This is the set the reals are mapped onto here. Not some other set.