The weakening rule allows adding propositions to a logical derivation without invalidating it. This principle confirms that if a conclusion…
Ternary semantics extend possible worlds semantics using a ternary relation, often in relevant logics. This approach offers a richer framework…
Strict implication defines a relationship where the truth of the antecedent necessarily guarantees the truth of the consequent. It's a…
Logical consequence describes the relationship where true premises guarantee a true conclusion due to the statements' logical structure. It's fundamental…
Harmony in logic signifies a balance in introduction and elimination rules for logical connectives. This ensures connectives neither over-promise nor…
The double turnstile (⊨) symbol signifies semantic entailment or logical consequence. It indicates that the truth of certain propositions guarantees…
The disjunction introduction rule states that from any single proposition, one can infer a disjunction including that proposition and any…
A designated value in logic functions similarly to truth in classical systems. It ensures that if premises hold a designated…
Connexive logic explores the principles of connection between propositions, focusing on relationships like a statement and its contrapositive. It aims…