Seonglae ChoRepresent the sizes of infinite sets in Set Theory
무한은 곱하거나 제곱해도 그대로지만 지수승 (Power Set) 하면 달라짐 다만 지수 아래는 2나 10이나 무관하다.
Aleph zero (aleph-null)
minimal real number and integers are aleph zero
자연수에서 실수로 가려면 소수 아래의 무한한 값들을 선택하는 것과 동일하니 십진법이면 10이고 2진법이면 2인데 즉 위에서 말했듯 둘다 같다.
Aleph-one
Continuum hypothesis
First problem of Hilbert's problems which proved as not provable. That is, the axiomatic system is not inconsistent whether this is true or false. (ZFC)
Aleph number
In mathematics, particularly in set theory, the aleph numbers are a sequence of numbers used to represent the cardinality of infinite sets that can be well-ordered. They were introduced by the mathematician Georg Cantor and are named after the symbol he used to denote them, the Hebrew letter aleph (ℵ).
https://en.wikipedia.org/wiki/Aleph_number
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https://www.youtube.com/watch?v=YsrqRHw9U-8
Continuum hypothesis
In mathematics, specifically set theory, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets. It states:
https://en.wikipedia.org/wiki/Continuum_hypothesis