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Difficulty understanding why $ P \implies Q$ is equivalent to P only if Q.

score 5.9k · Answer 1 · 2026-03-30 02:05:53

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Difficulty understanding why $ P \implies Q$ is equivalent to P only if Q.

Published on 30 Mar 2026 - 2:05

score 39.7k · Answer 2 · 2014-10-05 12:47:01

39.7k

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Which of these sentences are propositions? What are the truth values of those that are propositions?

Published on 05 Oct 2014 - 12:47

score 1.5k · Answer 3 · 2026-03-25 20:15:59

1.5k

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natural deduction proof

Published on 25 Mar 2026 - 20:15

score 414 · Answer 4 · 2014-10-07 13:33:44

414

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score 212 · Answer 5 · 2014-10-08 19:23:05

212

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Is the Cardinality of the Set of Contingent Propositions the Same as the Cardinality of the Set of Tautologies?

Published on 08 Oct 2014 - 19:23

score 6.4k · Answer 6 · 2014-10-09 15:47:20

6.4k

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How to negate an implication in English?

Published on 09 Oct 2014 - 15:47

score 515 · Answer 7 · 2014-10-09 23:51:21

515

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Propositional Logic: For which natural numbers $n$ are there elements of $\mathcal{L_0}$ of length $n$?

Published on 09 Oct 2014 - 23:51

score 1.3k · Answer 8 · 2026-03-25 20:17:06

1.3k

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Biconditional Introduction in natural deduction

Published on 25 Mar 2026 - 20:17

score 206 · Answer 9 · 2014-10-10 22:44:56

206

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Published on 10 Oct 2014 - 22:44

score 98 · Answer 10 · 2014-10-12 12:10:07

98

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Published on 12 Oct 2014 - 12:10

score 317 · Answer 11 · 2026-03-26 06:21:40

317

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How to prove (¬((p→q) → ¬(q→r))) → (p→r) using Lukasiewicz's axioms and MP?

Published on 26 Mar 2026 - 6:21

score 435 · Answer 12 · 2014-10-12 18:35:36

435

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On the truth-value of implication connective

Published on 12 Oct 2014 - 18:35

score 489 · Answer 13 · 2026-03-26 04:31:33

489

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Published on 26 Mar 2026 - 4:31

score 51 · Answer 14 · 2014-10-13 19:11:27

51

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Published on 13 Oct 2014 - 19:11

score 597 · Answer 15 · 2014-10-13 22:04:29

597

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Published on 13 Oct 2014 - 22:04

List Question

Difficulty understanding why $ P \implies Q$ is equivalent to P only if Q.

Which of these sentences are propositions? What are the truth values of those that are propositions?

natural deduction proof

Proofs in Propositional Calculus

Is the Cardinality of the Set of Contingent Propositions the Same as the Cardinality of the Set of Tautologies?

How to negate an implication in English?

Propositional Logic: For which natural numbers $n$ are there elements of $\mathcal{L_0}$ of length $n$?

Biconditional Introduction in natural deduction

Propositional Logic: Conditions for a sequence to be an element of $\mathcal{L_0}$

Propositional calculus algebra

How to prove (¬((p→q) → ¬(q→r))) → (p→r) using Lukasiewicz's axioms and MP?

On the truth-value of implication connective

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Logic Inference, Steps & Reasons

Propositional logic and distributive law

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