Clarity on implication when p is not true.
52322
Implication in mathematics - How can A imply B when A is False?
19811
$(P(X), C_R)$ may be a choice structure even if $R$ is not a rational relation.
73589
Probability: A flaw in logic? The emperor's proposition with marbles and two urns
130028
Why is a statement "vacuously true" if the hypothesis is false, or not satisfied?
129185
Understanding the truth value for ⇏ when antecedent is false and consequent is true.
147704
Do you reject the null hypothesis when $p < \alpha$ or $p \leq \alpha$?
136164
Are smaller p-values more convincing?
144396
fitch style proof problem regarding rule of inferences
35370
Why is this proposition provable and its converse not?
15504
In classical logic, why is $(p\Rightarrow q)$ True if $p$ is False and $q$ is True?
121720
Given ∃x.¬p(x), use the Fitch System to prove ¬∀x.p(x).
31299
Using the Fitch system, how do I prove $((p \implies q) \implies p)\implies p$?
140194
Using natural deduction to prove that $p \implies q \vdash \lnot p \lor q$
32244
Propositional Logic - Deduction
34478
If $P(A \mid E) > P(B \mid E)$ and $P(A \mid \neg E) > P(B \mid \neg E)$, then is $P(A) > P(B)$ true?
43700
Are proofs by contradiction really logical?
29110
Propositional Intuitionistic Logic Question