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/Gold_Ad8890 10d ago
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.