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On 7/29/24 9:11 AM, WM wrote:
ω/2But what number became ω when doubled?
No, that is w double, what number in the first set became w?ω/2 and larger.
Why not? WHich ones don't?>No.
Every natural number when doubled is a Natural Number.
Because otherwise there was a gap below ω.Why?Note, ω-1 doesn't exist in the base transfinite numbers, just as -1 doesn't exist in the Natural Numbers, you can't go below the first element.If all natural numbers exist, then ω-1 exists.
∀n ∈ ℕ: 1/n - 1/(n+1) > 0. Note the u niversal quantifier.That is unavoidable. You believe in the magical appearance of infinitely many unit fractions. That breaks logic and mathematics.Nope,
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