Implication in mathematics - How can A imply B when A is False?
578
In classical logic, why is $(p\Rightarrow q)$ True if both $p$ and $q$ are False?
134120
Prove statement with a counter-example: For all sets S, T and V, V ∪ (S ∩ T) = (V ∪ S) ∩ T is false
96217
If a and b are non-negative real numbers then demonstrate inequality
120517
Is it possible to prove that a particular statement cannot be disproved without creating a contradiction?
84946
If $0<a<b$, prove that $a<\sqrt{ab}<\frac{a+b}{2}<b$
55461
How to prove that if $a$ belongs to $\mathbb R$, such that $0\leq a \leq\epsilon$, then $a = 0$
25710
$A ⊂ B$ if and only if $A − B = ∅$
83714
$A \in B$ vs. $A \subset B$ for proofs
56325
If we accept a false statement, can we prove anything?
109858
How could a statement be true without proof?
33542
When is $A- B = B- A$?
123979
Checking proof for: It is possible to find addition assumptions on the sets $A$ and $B$, so $P(A)\cup P(B) = P(A\cup B)$.
153532
Proving $a^2$ is even $\implies$ $a$ is even by contradiction
100844
How should I understand "$A$ unless $B$"?
139841
Proving $A\setminus(B\setminus C)$ is not equal to $(A\setminus B)\setminus C$
113344
How do we prove that something is unprovable?
122015
"This statement is false" - Propositional Logic