List questions from elementary-set-theory

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Prove or disprove: Exercise 5 Lesson 4 Enderton _Elementary of Set theory_

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If $X\subset\{\alpha:\alpha\mbox{ is an ordinal} \}$, prove that $\bigcap X\in X$

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Is A Purely Reflexive Relation Automatically Transitive?

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Singletons (sets with single element): what's special about them?

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56

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Closure operator only on a subset $\mathscr A$ of the power set of $X$

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35

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Function composition with differing join ends

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Set Expressions Simplification

Published on 31 Mar 2026 - 21:40

36

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Calculating combined probabiltiy

Published on 02 Apr 2026 - 2:17

132

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Union and Intersection of Family of Sets

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291

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How to show that the set of all non-decreasing functions $f:\mathbb{Z} \rightarrow \{ 0, 1\}$ is countable?

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545

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For all sets $A, B, C$, If $A \Delta B = A \Delta C$, then $B \subseteq C$

Published on 02 Apr 2026 - 4:08

381

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The complement of an asymmetric relation is nonsymmetric?

Published on 25 Mar 2026 - 1:23

80

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Derived sets from a base set

Published on 10 Apr 2026 - 22:48

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Proof of Equivalence Relation $R=\{(a,b)\in\Bbb N^2: 5\mid (2a+3b)\}$

Published on 26 Mar 2026 - 7:34

List Question

Show that some given set is a basis for a specific topology

Prove or disprove: Exercise 5 Lesson 4 Enderton _Elementary of Set theory_

If $X\subset\{\alpha:\alpha\mbox{ is an ordinal} \}$, prove that $\bigcap X\in X$

Is A Purely Reflexive Relation Automatically Transitive?

Singletons (sets with single element): what's special about them?

Closure operator only on a subset $\mathscr A$ of the power set of $X$

Function composition with differing join ends

Set Expressions Simplification

Calculating combined probabiltiy

Union and Intersection of Family of Sets

How to show that the set of all non-decreasing functions $f:\mathbb{Z} \rightarrow \{ 0, 1\}$ is countable?

For all sets $A, B, C$, If $A \Delta B = A \Delta C$, then $B \subseteq C$

The complement of an asymmetric relation is nonsymmetric?

Derived sets from a base set

Proof of Equivalence Relation $R=\{(a,b)\in\Bbb N^2: 5\mid (2a+3b)\}$

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