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On 03.03.2025 12:58, joes wrote:Discrete elements.Am Mon, 03 Mar 2025 09:48:16 +0100 schrieb WM:>>He can't.Ah no, you're shifting the quantifier there.That is allowed if Zermelo can do it.
But it has been accepted that with all defined elements the set is defined.>By induction Zermelo produces the set. Quantifier shift, obviouslyA quantifier shift is never a valid deduction (even though the resultant
allowed by Zermelo. There is no other way to construct an infinite set.
sentence may be true otherwise).
Zermelo has no other deduction. The set is constructed by its elements.>And in the same way Z_0 doesn't contain the set of all elements.The set of sets of FISONs that can be removed together does not containIn exactly the same way as Z₀ is constructed by its elements, the set of
the set of all FISONs (although it does contain the infinite sets of
the odd or even FISONs).
removable FISONs is constructed by its elements.
Of course not. It is the set of all elements.
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