Weak negation, found in non-classical logics, asserts the absence of truth for a proposition rather than the truth of its…
Weak Kleene connectives are operators in three-valued logic where undefined components may result in an undefined compound statement, unlike their…
A truth-value gap occurs when a statement lacks a definitive true or false designation. This often arises from vagueness or…
Explore three-valued logic, which expands beyond traditional true/false to include a third truth value like 'unknown' or 'indeterminate'. This system…
Substructural logics are non-classical systems that alter or remove structural rules of classical logic, like relevance and linear logic, impacting…
Strong paraconsistency posits that contradictions can be genuinely true in some possible worlds. This contrasts with weak paraconsistency, which views…
A non-classical theory of truth that allows for the revision of truth values. It addresses paradoxes like the liar paradox…
Relevance logic is a non-classical logic designed to ensure premises are relevant to the conclusion, overcoming paradoxes found in material…
Quantum logic is a non-classical system exploring the unique principles of quantum mechanics. It challenges traditional logic, questioning axioms like…
Partial logic explores systems where statements can be neither true nor false. It accommodates undefined terms and indeterminate truth values,…