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transfinite

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inglese
Each set in this hierarchy is assigned (by transfinite recursion) an ordinal number, known as its rank.
en.wikipedia.org
In transfinite arithmetic, inverse operations of subtraction and division with infinite quantities are prohibited because they lead to contradictions.
en.wikipedia.org
This is important because it makes every set susceptible to the powerful technique of transfinite induction.
en.wikipedia.org
On par with induction, well-founded relations also support construction of objects by transfinite recursion.
en.wikipedia.org
Under the assumption of the axiom of choice, this transfinite sequence includes every cardinal number.
en.wikipedia.org

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