List questions from cardinals

Published on 26 Jan 2014 - 8:19

286

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equivalence classes and cardinality

Published on 30 Jan 2014 - 23:58

154

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Set of Cardinals

Published on 03 Apr 2026 - 11:53

383

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Subset of an infinite set with same cardinality

Published on 31 Jan 2014 - 15:41

28

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Given two cardinalities, $m$ and $n$, how many solutions does $n*x = m$ have? How about $n+x=m$?

Published on 01 Feb 2014 - 11:20

220

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Proof Check: The cardinality of the set of all binary series with an infinite amount of 0's and 1's:

Published on 01 Feb 2014 - 12:28

30

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What $P(E)\sim (E \to \{ 0,1\} )$ mean?

Published on 03 Feb 2014 - 15:49

88

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Prove: $2^{\aleph_0}\not=\aleph_{\epsilon_0}$

Published on 03 Apr 2026 - 11:51

1.9k

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Prove: if $A$ is infinite set and $B$ is finite set then $\left| {A - B} \right| = \left| A \right|$

Published on 03 Feb 2014 - 18:10

2.2k

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Cardinality of the set of permutations of a set $ A $

Published on 03 Feb 2014 - 20:30

79

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What's the diference between $A<\infty$ and $A<\aleph_0$?

Published on 04 Feb 2014 - 3:23

1.6k

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Altering an Infinite Set does not change cardinality

Published on 05 Feb 2014 - 20:44

2k

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Cardinality of Integers, Positive Integers, and Rational Numbers all equal $\aleph_0$

Published on 05 Feb 2014 - 21:26

615

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Are there any infinites not from a powerset of the natural numbers?

Published on 06 Apr 2026 - 2:41

776

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continuum and aleph one

Published on 08 Feb 2014 - 23:54

List Question

$\ell^p(I)$ space and a dense set of this space

equivalence classes and cardinality

Set of Cardinals

Subset of an infinite set with same cardinality

Given two cardinalities, $m$ and $n$, how many solutions does $n*x = m$ have? How about $n+x=m$?

Proof Check: The cardinality of the set of all binary series with an infinite amount of 0's and 1's:

What $P(E)\sim (E \to \{ 0,1\} )$ mean?

Prove: $2^{\aleph_0}\not=\aleph_{\epsilon_0}$

Prove: if $A$ is infinite set and $B$ is finite set then $\left| {A - B} \right| = \left| A \right|$

Cardinality of the set of permutations of a set $ A $

What's the diference between $A<\infty$ and $A<\aleph_0$?

Altering an Infinite Set does not change cardinality

Cardinality of Integers, Positive Integers, and Rational Numbers all equal $\aleph_0$

Are there any infinites not from a powerset of the natural numbers?

continuum and aleph one

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