Why in implication, if premise is false then implication is true?
20462
Validity of conditional statement when the premise is false.
125317
Is this statement "Every element in the empty set is greater than itself." true or its negation is true?
108292
Precedence between implication and bi-implication
37196
"If P, then Q; If P, then R; Therefore: If Q, then R." Fallacy and Transitivity
155679
If union of two theories is not consistent one of them implies a sentence which the other implies opposite of it
113605
In Fitch, how does one prove "(P → Q)" from the premise "(¬P ∨ Q)"?
68265
Why is it sensical for a proposition with a false antecedent to validate to true?
13012
Why can a = b imply 2 = 1?
83887
"in case" vs. "if"
22193
Why, logically, is proof by contradiction valid?
13064
In what order are chained implications evaluated? (i.e. $a \implies b \implies c$)
138272
why does this evaluate to true
78009
Why can't we use implication for the existential quantifier?
72034
Truth table and the meaning of $\oplus$ in propositional logic
29110
Propositional Intuitionistic Logic Question
109685
An invalid argument, the conclusion of which is a tautology
40675
Regarding Evaluated True