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this omega is the first infinite ordinal. It is not larger than the natural numbers, it *is* the natural numbers.This idea is not the meaning assigned to ω by Cantor who invented it. ω is the order-type of infinite sequences without repetition. To use ω as the ordered set ℕ would restrict its meaning. But I apply ω as the first transfinite number, i.e., larger than all natural numbers.
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