Why is the statement p"implies"q true if p is false?
15504
In classical logic, why is $(p\Rightarrow q)$ True if $p$ is False and $q$ is True?
63656
Ways to write 'P => Q'
129185
Understanding the truth value for ⇏ when antecedent is false and consequent is true.
51369
Natural deduction proof of $p \lor (p\implies q)$ with propositional calculus
102081
What is the difference between : and true?
20658
Difficulty in finding a counterexample
75387
A proof that $1=2$. May I know why it’s false?
21035
Clarifying on how if p,q is logically equivalent to p only if q
153440
Is logical implication always determinable from just the given statements?
93557
Intuitively, why does (B → S) ≡ (¬B ∨ S)?
100399
A doubt with a part of a certain proof.
13064
In what order are chained implications evaluated? (i.e. $a \implies b \implies c$)
150053
Is "$(P \land Q) \to P$" a tautology?
141294
Does "if ([bool] == true)" require one more step than "if ([bool])"?
95851
Validity of an argument with a contradictory conclusion
135957
Why in an inconsistent axiom system every statement is true? (For Dummies)
125317
Is this statement "Every element in the empty set is greater than itself." true or its negation is true?