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On 25.01.2025 15:16, Richard Damon wrote:Yes there is. There are no consecutive infinities. Every FISON is,
Sure it does, you just need to take the union of an infinite number of
them.
But that is impossible because there are not two consecutive actually
infinite sets in ℕ. Since every FISON is followed by an actually
infinite set, ∀n ∈ U(F(n)): |ℕ \ {1, 2, 3, ..., n}| = ℵo, there is no
actually infinite set of FISONs.
The „system” of mathematics knows inf. many.That depends on the system. All we know is that it is finite.FISONs enumerate themselves. There is no infinite FISON and hence noThen, what is the highest FISON?
infinite number of them.
Therefore, not a finite number of FISONs.If there is only a finite number of them, THEN there is a maximumA variable maximum, "something becoming, emerging, produced, i.e., as we
put it, the potential infinite." [Hilbert]
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