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On 28.01.2025 10:19, joes wrote:There are no naturals without an initial segment.Am Tue, 28 Jan 2025 09:58:14 +0100 schrieb WM:But any set of FISONs fails.On 27.01.2025 18:10, joes wrote:Yes it does. Any infinite set of FISONs has a first element.Am Mon, 27 Jan 2025 15:33:01 +0100 schrieb WM:>But no set of FISONs the union of which is ℕ has a first element.Also an infinite set needs a first element.No problem, any infinite set of FISONs has one.
No element was claimed to be necessary.When every not necessary or not useful element has been discardedIf an infinite set was existing, you could easily find a first notNo, as you have shown, no element is necessary.
completely useless element.
nothing remains.
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