Question

I am trying to show the relationship between logical consequence of Gamma and being true in every model of Gamma

score 97 · Answer 1 · 2026-03-30 23:15:35

97

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I am trying to show the relationship between logical consequence of Gamma and being true in every model of Gamma

Published on 30 Mar 2026 - 23:15

score 41 · Answer 2 · 2020-04-07 07:43:21

41

Views

To express quantification of propositional function using $\land , \lor , \lnot$

Published on 07 Apr 2020 - 7:43

score 283 · Answer 3 · 2020-04-07 18:43:22

283

Views

Is infinitary first-order logic strictly more expressive than weak second-order logic?

Published on 07 Apr 2020 - 18:43

score 57 · Answer 4 · 2020-04-07 21:23:55

57

Views

Express English sentence in predicate calculus

Published on 07 Apr 2020 - 21:23

score 44 · Answer 5 · 2020-04-08 17:04:29

44

Views

Issue with the logical equivalence of two particular formulas in the predicate calculus

Published on 08 Apr 2020 - 17:04

score 78 · Answer 6 · 2026-03-30 23:13:15

78

Views

Prove $(\forall x_i)(\mathscr{B}\rightarrow \mathscr{C})\rightarrow ((\forall x_i)\mathscr{B}⇒(\forall x_i)\mathscr{C})$ is logically valid

Published on 30 Mar 2026 - 23:13

score 133 · Answer 7 · 2026-03-25 06:05:26

133

Views

Why does the converse of the Isomorphism Theorem in first-order logic not hold?

Published on 25 Mar 2026 - 6:05

score 467 · Answer 8 · 2020-04-11 00:59:57

467

Views

Show that $\phi \equiv \psi$ if and only if $\models (\phi \leftrightarrow \psi)$.

Published on 11 Apr 2020 - 0:59

score 118 · Answer 9 · 2026-03-27 00:59:52

118

Views

Prove that $\; U\setminus A = U \iff A=\emptyset\; $ where $U$ is the universe (False proof of the opposite).

Published on 27 Mar 2026 - 0:59

score 1k · Answer 10 · 2026-03-28 15:10:59

1k

Views

Universal generalization proof

Published on 28 Mar 2026 - 15:10

score 329 · Answer 11 · 2020-04-13 11:55:21

329

Views

Set-builder notation and predicate logic

Published on 13 Apr 2020 - 11:55

score 181 · Answer 12 · 2020-04-14 08:34:29

181

Views

Construct a sentence in the empty language.

Published on 14 Apr 2020 - 8:34

score 51 · Answer 13 · 2026-03-28 20:14:11

51

Views

Logical statement limiting number of variables that can be true at the same time

Published on 28 Mar 2026 - 20:14

score 59 · Answer 14 · 2020-04-17 15:21:16

59

Views

Are these logical predicate translations same, thus correct?

Published on 17 Apr 2020 - 15:21

score 264 · Answer 15 · 2026-03-25 15:52:36

264

Views

How to translate English phrase "One can..." into FOL

Published on 25 Mar 2026 - 15:52

List Question

I am trying to show the relationship between logical consequence of Gamma and being true in every model of Gamma

To express quantification of propositional function using $\land , \lor , \lnot$

Is infinitary first-order logic strictly more expressive than weak second-order logic?

Express English sentence in predicate calculus

Issue with the logical equivalence of two particular formulas in the predicate calculus

Prove $(\forall x_i)(\mathscr{B}\rightarrow \mathscr{C})\rightarrow ((\forall x_i)\mathscr{B}⇒(\forall x_i)\mathscr{C})$ is logically valid

Why does the converse of the Isomorphism Theorem in first-order logic not hold?

Show that $\phi \equiv \psi$ if and only if $\models (\phi \leftrightarrow \psi)$.

Prove that $\; U\setminus A = U \iff A=\emptyset\; $ where $U$ is the universe (False proof of the opposite).

Universal generalization proof

Set-builder notation and predicate logic

Construct a sentence in the empty language.

Logical statement limiting number of variables that can be true at the same time

Are these logical predicate translations same, thus correct?

How to translate English phrase "One can..." into FOL

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