List questions from elementary-set-theory

Published on 20 Mar 2026 - 9:24

55

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Finding a specific Isomorphism

Published on 27 Mar 2026 - 5:18

823

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Can we prove the same cardinality of the sets $\mathbb{N}$ and $\mathbb{N^2}$ this way?

Published on 10 Apr 2026 - 6:30

79

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Confusion about the rephrase of Recursion Theorem

Published on 19 Mar 2026 - 10:10

119

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Possible typos in the proof of Recursion Theorem

Published on 19 Mar 2026 - 20:35

233

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Infinite continued fractions and convergents

Published on 09 Apr 2026 - 2:03

64

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subset with a special property

Published on 27 Mar 2026 - 1:36

69

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Cardinality of sets made by functions

Published on 27 Mar 2026 - 8:39

378

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Better way to define this bijection [0,1) to (0,1)

Published on 09 Apr 2026 - 13:31

305

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Functions and mappings?

Published on 01 Apr 2026 - 9:27

179

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Prove that $B\not\subset f(f^{-1}(B))$

Published on 20 Mar 2026 - 7:56

392

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Is there an algorithm for the "zig-zag" proof that the rationals are countable?

Published on 25 Mar 2026 - 2:53

84

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Given $f$ is one to one, prove $f(A \backslash B)=f(A)\backslash f(B)$

Published on 19 Mar 2026 - 18:26

119

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Why is "greater than" not a total function?

Published on 07 Apr 2026 - 5:14

133

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Is this example of an inductive (sub)set correct?

Published on 25 Mar 2026 - 1:21

List Question

Prove that $(X \setminus Y)\cap Z=Z \setminus(Y \cap Z)$ where $Y,Z$ are subsets of $X$.

Finding a specific Isomorphism

Can we prove the same cardinality of the sets $\mathbb{N}$ and $\mathbb{N^2}$ this way?

Confusion about the rephrase of Recursion Theorem

Possible typos in the proof of Recursion Theorem

Infinite continued fractions and convergents

subset with a special property

Cardinality of sets made by functions

Better way to define this bijection [0,1) to (0,1)

Functions and mappings?

Prove that $B\not\subset f(f^{-1}(B))$

Is there an algorithm for the "zig-zag" proof that the rationals are countable?

Given $f$ is one to one, prove $f(A \backslash B)=f(A)\backslash f(B)$

Why is "greater than" not a total function?

Is this example of an inductive (sub)set correct?

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