Implies in a truth table, unclear.
41044
Equivalence of $a \rightarrow b$ and $\lnot a \vee b$
52322
Implication in mathematics - How can A imply B when A is False?
12186
How does predicate logic handle contradictory statements about something that does not exist?
40675
Regarding Evaluated True
103653
Interpretations and models in propositional logic
130028
Why is a statement "vacuously true" if the hypothesis is false, or not satisfied?
105303
'Obvious' theorems that are actually false
51863
Logical Conditional Truth Table Rationale
68607
Could an argument with false Premises and a true Conclusion be logically valid?
135957
Why in an inconsistent axiom system every statement is true? (For Dummies)
15721
"Is it proved that ...?" vs. "Has it been proven that ...?"
113957
Why is it possible to conclude everything from a false statement?
50804
It seems obvious, but how to prove it formally?
11471
Ambiguity of “not.... because”
147874
Why does the existence of independent statements not prove consistency?
47222
Soundness of a rule of a proof system with respect to the truth tables?
7132
Finding a clear difference between truth and fact