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On 26.02.2025 12:53, joes wrote:They have, by the power of induction. (Infinity itself has beenAm Wed, 26 Feb 2025 12:40:13 +0100 schrieb WM:Defining is a human activity. Never an infinity will be defined.On 25.02.2025 16:31, joes wrote:Nope. There are inf. many ("defined") FISONs.The set of FISONs does not change.It is the set of definaed natural numbers. It depends on the
systemlike the set of known prime numbers.
Apparently not.Of course: [blah blah]Yes, please do that, and not the number Infinity ("all naturals").Then consider only the natural numbers which are subject to induction.I state that induction does not produce actual infinity.Whatever. Induction does not include infinity, although it does prove
infinitely many formulas containing finite numbers, but not the one
formula saying "all". It is not that strong.
The number of naturals is not itself a natural number. So by "removing
every natural" you are removing a non-natural number. Get this?
The *set* is not in the set.He ascertains the set.And the number of these elements is not finite and not an element.The other way around: the number of finite elements is infinite.Right. Zermelo produces all finite elements, no infinite element. So
Anyway, no infinite element is produced.
do I. That is the set.
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