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Help with quantifiers: $\forall y\in\mathbb{Z},\exists x\in\mathbb{Z},(x^2+y\geq1)$

score 57 · Answer 1 · 2026-04-13 04:33:32

57

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Help with quantifiers: $\forall y\in\mathbb{Z},\exists x\in\mathbb{Z},(x^2+y\geq1)$

Published on 13 Apr 2026 - 4:33

score 112 · Answer 2 · 2026-04-14 14:17:07

112

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How to read $\exists x \forall y \exists z((x + y)z = 1)$?

Published on 14 Apr 2026 - 14:17

score 46 · Answer 3 · 2026-04-15 14:53:48

46

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∀x(I(x) → ∃y(I(y) ∧ (x < y))), I(x): x is an integer

Published on 15 Apr 2026 - 14:53

score 190 · Answer 4 · 2026-04-13 07:02:29

190

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Determining Statement Truth or Falsity?

Published on 13 Apr 2026 - 7:02

score 602 · Answer 5 · 2026-05-11 03:17:33

602

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How can I prove the following with natural deduction rules? $¬∀x∃yP(x,y) ⊢ ∃x∀y¬P(x,y)$

Published on 11 May 2026 - 3:17

score 37 · Answer 6 · 2026-05-10 16:05:59

37

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Puzzling axiom for modal cylindric algebras

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score 754 · Answer 7 · 2026-04-11 00:45:31

754

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The real and deep meaning of quantifiers in first order logic and set theory

Published on 11 Apr 2026 - 0:45

score 37 · Answer 8 · 2026-04-08 18:48:10

37

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Logic Question regarding quantifiers

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score 352 · Answer 9 · 2026-04-13 11:57:10

352

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What does ∀x¬∃xQ(x,x)

Published on 13 Apr 2026 - 11:57

score 187 · Answer 10 · 2026-04-15 14:11:43

187

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Correct logical quantifier notation with greater than/less than relations

Published on 15 Apr 2026 - 14:11

score 88 · Answer 11 · 2026-04-11 14:26:12

88

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Difference between 2 logical expressions

Published on 11 Apr 2026 - 14:26

score 1.2k · Answer 12 · 2026-04-08 18:52:15

1.2k

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Negation of Quantified Statements

Published on 08 Apr 2026 - 18:52

score 215 · Answer 13 · 2026-04-13 09:03:59

215

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Are variables to the left of | in set-builder notation free? How is that variable quantified in the equivalent definition?

Published on 13 Apr 2026 - 9:03

score 121 · Answer 14 · 2026-04-14 02:58:28

121

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Write using quantifier notation.

Published on 14 Apr 2026 - 2:58

score 466 · Answer 15 · 2026-04-12 11:21:43

466

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Nested Quantifier Practice Question: Some student has never been asked a question by a faculty member.

Published on 12 Apr 2026 - 11:21

List Question

Help with quantifiers: $\forall y\in\mathbb{Z},\exists x\in\mathbb{Z},(x^2+y\geq1)$

How to read $\exists x \forall y \exists z((x + y)z = 1)$?

∀x(I(x) → ∃y(I(y) ∧ (x < y))), I(x): x is an integer

Determining Statement Truth or Falsity?

How can I prove the following with natural deduction rules? $¬∀x∃yP(x,y) ⊢ ∃x∀y¬P(x,y)$

Puzzling axiom for modal cylindric algebras

The real and deep meaning of quantifiers in first order logic and set theory

Logic Question regarding quantifiers

What does ∀x¬∃xQ(x,x)

Correct logical quantifier notation with greater than/less than relations

Difference between 2 logical expressions

Negation of Quantified Statements

Are variables to the left of | in set-builder notation free? How is that variable quantified in the equivalent definition?

Write using quantifier notation.

Nested Quantifier Practice Question: Some student has never been asked a question by a faculty member.

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