Question

Given a binary predicate, if we eliminate all monaidic predicates contradicted by the binary pred, are the leftover predicates mutually satisfiable?

score 59 · Answer 1 · 2026-04-16 10:05:44

59

Views

Given a binary predicate, if we eliminate all monaidic predicates contradicted by the binary pred, are the leftover predicates mutually satisfiable?

Published on 16 Apr 2026 - 10:05

score 57 · Answer 2 · 2026-04-11 08:00:37

57

Views

Predicate Logic proof of validity

Published on 11 Apr 2026 - 8:00

score 37 · Answer 3 · 2026-04-17 07:29:09

Let $p(x)$ and $q(x)$ be the predicates: $p(x):x^2-3x+2=0$ and $q(x):(x-1)^{3}(x-2)(x-3)x=0$. Show: $\forall x\in\mathbb{R}$, $p(x)\Rightarrow q(x)$.

score 358 · Answer 4 · 2026-04-12 02:37:01

358

Views

Using a truth table to test argument validity in predicate logic with finite domain.

Published on 12 Apr 2026 - 2:37

score 60 · Answer 5 · 2026-04-17 12:25:15

60

Views

Semantic consequence and quantifiers

Published on 17 Apr 2026 - 12:25

score 118 · Answer 6 · 2026-04-09 13:02:09

118

Views

Is there difference between how we treat 'free variable' in basic logic and the kind we come across in elementary mathematics?

Published on 09 Apr 2026 - 13:02

score 45 · Answer 7 · 2026-04-17 10:58:34

45

Views

Interchanging "logical and" and "logical or" in equivalent statements

Published on 17 Apr 2026 - 10:58

score 52 · Answer 8 · 2026-04-14 03:41:09

52

Views

A valid argument resulting from the distribution of the universal quantifier over a conditional.

Published on 14 Apr 2026 - 3:41

score 40 · Answer 9 · 2026-04-15 22:50:46

40

Views

Contrapostive proof with "if there exist A and B, then C"

Published on 15 Apr 2026 - 22:50

score 97 · Answer 10 · 2026-04-11 13:09:52

97

Views

How to translate the following sentence into predicate logic?

Published on 11 Apr 2026 - 13:09

score 54 · Answer 11 · 2026-04-14 18:12:30

54

Views

The instantiation of the statement ∀x(P(x))⇒∀x(Q(x)) and its contrapositive.

Published on 14 Apr 2026 - 18:12

score 146 · Answer 12 · 2026-04-14 19:54:37

146

Views

Using logical equivalences to show $(A \Delta B) \cap C = (A \cap C) \Delta (B \cap C)$

Published on 14 Apr 2026 - 19:54

score 70 · Answer 13 · 2026-04-10 01:17:47

70

Views

Instantiation of a universally quantified statement.

Published on 10 Apr 2026 - 1:17

score 31 · Answer 14 · 2026-04-12 04:11:20

31

Views

How do I express these sentences in logical symbols?

Published on 12 Apr 2026 - 4:11

score 118 · Answer 15 · 2026-04-11 02:15:52

118

Views

How efficiently can the first-order theory of posets recognize the open set poset of $\Bbb R^n$?

Published on 11 Apr 2026 - 2:15

List Question

Given a binary predicate, if we eliminate all monaidic predicates contradicted by the binary pred, are the leftover predicates mutually satisfiable?

Predicate Logic proof of validity

Let $p(x)$ and $q(x)$ be the predicates: $p(x):x^2-3x+2=0$ and $q(x):(x-1)^{3}(x-2)(x-3)x=0$. Show: $\forall x\in\mathbb{R}$, $p(x)\Rightarrow q(x)$.

Using a truth table to test argument validity in predicate logic with finite domain.

Semantic consequence and quantifiers

Is there difference between how we treat 'free variable' in basic logic and the kind we come across in elementary mathematics?

Interchanging "logical and" and "logical or" in equivalent statements

A valid argument resulting from the distribution of the universal quantifier over a conditional.

Contrapostive proof with "if there exist A and B, then C"

How to translate the following sentence into predicate logic?

The instantiation of the statement ∀x(P(x))⇒∀x(Q(x)) and its contrapositive.

Using logical equivalences to show $(A \Delta B) \cap C = (A \cap C) \Delta (B \cap C)$

Instantiation of a universally quantified statement.

How do I express these sentences in logical symbols?

How efficiently can the first-order theory of posets recognize the open set poset of $\Bbb R^n$?

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