What does the logical condition "implies" actually mean?
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Assumed True until proven False. The Curious Case of the Vacuous Truth
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how to prove that (P⊃Q)≡(¬Q⊃¬P) ( P ⊃ Q ) ≡ ( ¬ Q ⊃ ¬ P ) is disallowed in intuitionistic logic?
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In formal logic, how is it possible for an argument with a contradictory conclusion to be valid?
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What approach should I take to establish this logical proof?
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Why is this true? $(\exists x)(P(x) \Rightarrow (\forall y) P(y))$
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How is (p ∧ q ∧ ¬r) ∨ (p ∧ ¬q ∧ ¬r) ≡ (p ∧ ¬r) ∨ (¬q ∧ q)? Is it really distributive property?
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Does $a\mid bc$ imply $a\mid b$ or $a\mid c$?
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Could an argument with false Premises and a true Conclusion be logically valid?
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Meaning of "strong" and "weak" (formulas?) in propositional logic
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Why, logically, is proof by contradiction valid?
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Intuition: If $a\leq b+\epsilon$ for all $\epsilon>0$ then $a\leq b$?
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If both $P$ and $Q$ are true , how can I tell that $P$ implies $Q$?
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How can this English sentence be translated into a logical expression? ( Translating " unless")
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Understanding implication in logic truth tables (excerpt from textbook)
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What's the difference between "$\to$" (implication) and "$\vdash$" (therefore)?
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Implications and Ordinary language
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Confused about language and words in logic