> the idea that there are the same number of integers as even integers is a stupid one that in the end does not lead anywhere useful

it leads to the idea that measuring 2 sets via a bijection is a better idea than measuring via containment

That a bijection exists is incredibly useful. But the idea of "measuring" infinite sets in the cardinality sense is not very interesting or useful.

	▲	oskaralund 7 days ago \| parent \| next [-]
		Saying that two sets have the same cardinality is equivalent to saying there is a bijection between them. I don't understand how the latter can be useful but not the former?
	▲	sfpotter 7 days ago \| parent \| prev [-]
		It isn't very interesting or useful... to you.