A hypothetical syllogism is a logical argument with two conditional statements and a conclusion. It establishes a relationship between the…
Exportation is a logical principle that rewrites (P AND Q) -> R as P -> (Q -> R). It effectively…
Disjunction elimination, also known as proof by cases, is a fundamental rule of inference. It allows concluding a statement R…
A destructive dilemma is a logical argument form. It uses two conditional statements and negates their consequents to disprove at…
The deduction theorem states that if a statement can be derived from a set of premises plus an additional statement,…
A conditional statement exploring hypothetical scenarios against a backdrop of necessary truths. It examines implications when the premise contradicts what…
Counterfactual logic explores conditional statements about what would have happened if something else had occurred. It's crucial for understanding causality,…
A counterfactual conditional is an 'if...then...' statement about something that did not happen. It explores hypothetical situations and their potential…
The contrapositive of a conditional statement logically equivalent. It involves swapping and negating both the antecedent and consequent, preserving truth…
The protasis, the conditional clause in a hypothetical statement, sets the condition. It's often introduced by 'if' and precedes the…