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On 09.02.2025 18:04, Richard Damon wrote:For the first class it is order type zero, which is followed by order types zero plus one, zero plus two etcetera. The second class is order type omega, which is followed by order type omega plus one, omega plus two etcetera. There is no zero minus one or omega minus one.On 2/9/25 9:50 AM, WM wrote:>On 09.02.2025 14:08, Richard Damon wrote:Do you mean axiom 8? I see nothing in his theorems that talk about anything like this.On 2/9/25 5:46 AM, WM wrote:>On 08.02.2025 23:28, Richard Damon wrote:>On 2/8/25 2:44 PM, WM wrote:>On 08.02.2025 12:51, Richard Damon wrote:
>And thus you claim that 36 can not be factored, as all of its factors are not needed.>
1, 2, 3, 4, 6, 9, 12, 18, 36.
According to Cantor, the set of factors has a smallest element, 1, and the set of necessary factors has a smallest element, 6, or if double application is not allowed, 4.And which of those was "necessary"?>
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I don't need 6, because I can factor into 4 * 9
4 is not necessary because it is smaller than 6, and 6 is sufficient.
But then your "necessary" has a application order, which the word doesn't have.
I apply Cantor's theorem B.
"Theorem B: Every embodiment of different numbers of the first and the second number class has a smallest number, a minimum."
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