純粋・応用数学・数学隣接分野(含むガロア理論)21 (437レス)
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20(1): 現代数学の系譜 雑談 ◆yH25M02vWFhP 07/21(月)14:24 ID:60RWf/A5(3/9) AAS
つづき
formulation
There are a lot A, which is the empty set ∅ and with each element
x∈A also the amount x∪{x}contains.
∃A:(∅∈A∧∀x:(x∈A⇒x∪{x}∈A))
The infinity axiom does not merely postulate, as the name might suggest, the existence of any infinite set. It postulates the existence of an inductive set and thus, consequently, the existence of the set of natural numbers according to John von Neumann's model .
Significance for mathematics
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