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The law of excluded middle in mathematics

score 264 · Answer 1 · 2026-04-11 18:37:30

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The law of excluded middle in mathematics

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score 1.3k · Answer 2 · 2026-03-26 15:16:58

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Let $R$ be a relation, $R: A \to A$ where $R$ is both symmetric and transitive. Prove the following:

Published on 26 Mar 2026 - 15:16

score 1.5k · Answer 3 · 2026-04-16 09:46:09

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Pairs of non-empty disjoint sets

Published on 16 Apr 2026 - 9:46

score 165 · Answer 4 · 2026-04-12 04:02:48

165

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Divide $\mathbb R$ into non-overlapping intervals

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score 177 · Answer 5 · 2026-04-15 13:09:59

177

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How to define an injective function from a set of sets of length $n$ to a set of sequences of length $n$?

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score 1.3k · Answer 6 · 2026-04-11 13:10:45

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Does the relation $\in$ follow the axiom of substitution for equality.

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score 240 · Answer 7 · 2026-04-13 16:48:17

240

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the inclusion-exclusion principle for an infinite indexed family of sets

Published on 13 Apr 2026 - 16:48

score 70 · Answer 8 · 2026-04-14 06:58:19

70

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Manipulations in boolean algebra

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score 53 · Answer 9 · 2026-04-09 15:55:27

53

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Injectivity and Surjectivity of set of all functions.

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score 78 · Answer 10 · 2026-04-12 22:23:12

78

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Top-down and Bottom-up proofs of a lemma used to prove Cantor-Bernstein-Schröder theorem and their connection

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score 70 · Answer 11 · 2026-04-14 05:04:38

70

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$| \mathbb{R} |^2 = \mathfrak{c} $ - is this true?

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score 56 · Answer 12 · 2026-04-13 10:48:39

What is the Set $A_3$ if $A_0=\varnothing$(the empty set).$\forall \space i=1,2,3,...$define the set $A_i=A_{i-1}\cup \{A_{i-1}\}$?

score 168 · Answer 13 · 2026-04-12 02:09:52

168

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Check the following functions for injectivity and surjectivity

Published on 12 Apr 2026 - 2:09

score 54 · Answer 14 · 2026-04-14 00:29:48

54

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Is Collection of Big O's a Set?

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score 1.3k · Answer 15 · 2026-04-14 21:56:12

1.3k

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Julius König's proof of Schröder–Bernstein theorem

Published on 14 Apr 2026 - 21:56

List Question

The law of excluded middle in mathematics

Let $R$ be a relation, $R: A \to A$ where $R$ is both symmetric and transitive. Prove the following:

Pairs of non-empty disjoint sets

Divide $\mathbb R$ into non-overlapping intervals

How to define an injective function from a set of sets of length $n$ to a set of sequences of length $n$?

Does the relation $\in$ follow the axiom of substitution for equality.

the inclusion-exclusion principle for an infinite indexed family of sets

Manipulations in boolean algebra

Injectivity and Surjectivity of set of all functions.

Top-down and Bottom-up proofs of a lemma used to prove Cantor-Bernstein-Schröder theorem and their connection

$| \mathbb{R} |^2 = \mathfrak{c} $ - is this true?

What is the Set $A_3$ if $A_0=\varnothing$(the empty set).$\forall \space i=1,2,3,...$define the set $A_i=A_{i-1}\cup \{A_{i-1}\}$?

Check the following functions for injectivity and surjectivity

Is Collection of Big O's a Set?

Julius König's proof of Schröder–Bernstein theorem

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