List questions from elementary-set-theory

Published on 06 Apr 2026 - 21:51

68

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1-1 correspondence

Published on 07 Apr 2026 - 7:48

274

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partition of the set of natural numbers

Published on 06 Apr 2026 - 17:09

776

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On countable sets

Published on 07 Apr 2026 - 1:47

42

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Requirement on being countable

Published on 07 Apr 2026 - 0:44

148

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Does an ordinal number $\beta$ such that $\alpha<\beta$ and $\beta<\alpha +1$ exist for some another ordinal number $\alpha$?

Published on 07 Apr 2026 - 9:58

104

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Define $\triangle$ as $A\triangle B = (A\cup B - A\cap B )$, show associativity of $\triangle$

Published on 07 Apr 2026 - 8:20

383

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Prove: (A∩B∩C)'=(A'∪B'∪C')

Published on 07 Apr 2026 - 6:31

414

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True or False: $A ∩ B = ∅ $ and $B ∩ C = ∅$, then $A ∩ C = ∅$?

Published on 06 Apr 2026 - 16:19

8.1k

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Continuity of Probability Measure and monotonicity

Published on 07 Apr 2026 - 5:50

43

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Question on the operation of set inclusion

Published on 07 Apr 2026 - 3:59

1.8k

Views

Is there a word for restricting the codomain of a function?

Published on 06 Apr 2026 - 17:06

1.1k

Views

How does Axiom of Choice imply Axiom of Dependent Choice?

Published on 08 Apr 2026 - 21:32

286

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Set of subsequences for each sequence of integers is uncountable

Published on 08 Apr 2026 - 0:32

99

Views

Stuck trying to prove that $A\cup(\overline{A}\cap B)= A \cup B $

Published on 07 Apr 2026 - 13:59

List Question

set-theoretic difference of multisets

1-1 correspondence

partition of the set of natural numbers

On countable sets

Requirement on being countable

Does an ordinal number $\beta$ such that $\alpha<\beta$ and $\beta<\alpha +1$ exist for some another ordinal number $\alpha$?

Define $\triangle$ as $A\triangle B = (A\cup B - A\cap B )$, show associativity of $\triangle$

Prove: (A∩B∩C)'=(A'∪B'∪C')

True or False: $A ∩ B = ∅ $ and $B ∩ C = ∅$, then $A ∩ C = ∅$?

Continuity of Probability Measure and monotonicity

Question on the operation of set inclusion

Is there a word for restricting the codomain of a function?

How does Axiom of Choice imply Axiom of Dependent Choice?

Set of subsequences for each sequence of integers is uncountable

Stuck trying to prove that $A\cup(\overline{A}\cap B)= A \cup B $

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