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no, emphatically:
- an infinite set is countable if there is a one to one mapping between it and the natural numbers. this is easy with the first set as you can literally count off, 1, 2, 3, etc…
- the second set is countable in exactly the same way.
this is extremely basic set theory. you’re deeply misinformed.
no shit. I’m saying you can’t use an enumerable set to produce a mapping with the reals. the natural numbers are an infinite set yet are definitionally countable as they are the ordinals.
disengage, you’re arguing nonsense with someone with a literal degree in mathematics.