Weak completeness states that if a statement is semantically valid (true in all interpretations), then it is provable within the…
Ternary semantics extend possible worlds semantics using a ternary relation, often in relevant logics. This approach offers a richer framework…
Proof-theoretic validity defines a valid proof within proof-theoretic semantics. It focuses on the constructive nature of proofs and their role…
A predicate functor in logic is a symbol acting as a function, mapping individuals or tuples to truth values. It's…
Partial logic explores systems where statements can be neither true nor false. It accommodates undefined terms and indeterminate truth values,…
Explore logics that deviate from or expand classical logic. This includes many-valued, modal, and other non-classical systems, offering diverse approaches…
Material equivalence describes propositions that share the same truth value under all circumstances. It's a fundamental concept in logic, crucial…
FDE is a logical system that allows propositions to be both true and false, or neither, rejecting the law of…
A designated value in logic functions similarly to truth in classical systems. It ensures that if premises hold a designated…
Boethius' theses are two formulas in propositional logic: (A → B) → ¬ (A → ¬ B) and (A →…