Weak negation, found in non-classical logics, asserts the absence of truth for a proposition rather than the truth of its…
Weak completeness states that if a statement is semantically valid (true in all interpretations), then it is provable within the…
The upward Löwenheim–Skolem theorem states that if a first-order theory has an infinite model, it has models of arbitrarily large…
A mathematical logic and computer science framework using types to classify expressions and objects, preventing paradoxes by organizing into hierarchies…
The truth value represents whether a proposition or statement is true or false. Classical logic uses binary true/false, while many-valued…
The truth-teller is a self-referential statement asserting its own truth, contrasting with the liar paradox. It explores the complexities of…
A theorem is a statement proven true through logical deduction from accepted axioms and previously proven theorems. It forms a…
A tautology is a statement or formula that is always true, regardless of the truth values of its components. It's…
Syntactic consequence defines the relationship between premises and conclusions derived through logical rules and axioms within a formal system. It…
Strong paraconsistency posits that contradictions can be genuinely true in some possible worlds. This contrasts with weak paraconsistency, which views…