Aleph Number

Creator

Creator

Seonglae Cho

Created

Created

2024 Jul 28 8:51

Editor

Editor

Seonglae Cho

Edited

Edited

2024 Jul 28 9:12

Refs

Refs

Cardinal Number

Represent 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. (

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).

Aleph number

https://en.wikipedia.org/wiki/Aleph_number

Aleph number

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Continuum hypothesis

In mathematics, specifically set theory, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets. It states:

Continuum hypothesis

https://en.wikipedia.org/wiki/Continuum_hypothesis

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