Why is implication truth table defined this way?
578
In classical logic, why is $(p\Rightarrow q)$ True if both $p$ and $q$ are False?
135267
Predicate Logic and Inference
147947
Does double negation distribute over implication intuitionistically?
68265
Why is it sensical for a proposition with a false antecedent to validate to true?
13064
In what order are chained implications evaluated? (i.e. $a \implies b \implies c$)
113957
Why is it possible to conclude everything from a false statement?
39485
Why does ('0' ? 'a' : 'b') behave different than ('0' == true ? 'a' : 'b')
56191
How to demystify the axioms of propositional logic?
77138
Why would you use an assignment in a condition?
122015
"This statement is false" - Propositional Logic
89808
When to use implication and when to use conjunction?
135957
Why in an inconsistent axiom system every statement is true? (For Dummies)
85770
What is the difference between ∀x(p(x) →q(x)) and ∀x(p(x) ∧q(x))?
8342
Is short-circuiting logical operators mandated? And evaluation order?
63854
How do boolean operators work in 'if' conditions?
61303
"Infer" vs. "imply" — can "infer" imply "imply"?
52585
How to prove that $[(p \to q) \land (q \to r)] \to (p \to r)$ is a tautology without using the truth table?