Cantor's Theorem in Set Theory
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Cantor's Theorem in Set Theory
1 555 просмотров · 5 лет назад
Existsforall Academy
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1 555 просмотров · 5 лет назад
By repeatedly taking the power set of an infinite set, Cantor's theorem shows that these new infinities get strictly "bigger and bigger." So there exists an infinite hierarchy of infinities in the sense that the lower infinities cannot map surjectively onto the higher infinities (but injective maps are possible).
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