Implication in mathematics - How can A imply B when A is False?
68265
Why is it sensical for a proposition with a false antecedent to validate to true?
93557
Intuitively, why does (B → S) ≡ (¬B ∨ S)?
57724
How to prove boolean ordering question
20658
Difficulty in finding a counterexample
48761
How can know if a proof technique can actually prove something? Specifically, induction
153532
Proving $a^2$ is even $\implies$ $a$ is even by contradiction
64320
Prove that if $0<a<Pr(A)$ then there exists $B\subset A$ such that $Pr(B)=a$
131983
Prove that $A \subset B$ if and only if $A \setminus B = \emptyset$
155679
If union of two theories is not consistent one of them implies a sentence which the other implies opposite of it
126633
Is a contradiction enough to prove a set equality to $\varnothing$?
104124
Prove or disprove: $A-(B-C) = (A-B)-C$
67394
How to interpret $\mathbb{P}(B|A)$ when $\mathbb{P}(A) = 0$
24480
Can there be true conclusions without assumptions?
28541
How to prove the mathematical induction is true?
6119
If both $P$ and $Q$ are true , how can I tell that $P$ implies $Q$?
108292
Precedence between implication and bi-implication
147947
Does double negation distribute over implication intuitionistically?