Weak Kleene Connectives in Three-Valued Logic
Weak Kleene connectives are operators in three-valued logic where undefined components may result in an undefined compound statement, unlike their strong counterparts that can still yield a definite truth value.
Weak Excluded Middle in Intuitionistic Logic
The weak excluded middle asserts that for any proposition P, either P or not-P is provable. This differs from classical logic by not requiring both to be provable, offering a…
Weak Counterexample in Intuitionistic Logic
A weak counterexample in intuitionistic logic signifies a lack of positive evidence for an instance of the law of excluded middle (p ∨ ¬p). It challenges classical assumptions within constructive…
Weak Completeness in Logic
Weak completeness states that if a statement is semantically valid (true in all interpretations), then it is provable within the logical system. It's a fundamental property for assessing the power…
Vicious Circle Principle
The vicious circle principle safeguards against circular definitions and arguments. It ensures that a concept is not defined using itself or that an argument's conclusion isn't presupposed in its premises.
Verum: The True Statement in Logic
Verum, Latin for 'true,' is a symbol (⊤) representing a primitive, necessarily true statement. It's a fundamental concept in logic, often acting as a nullary connective.
Verity: Understanding the Degree of Truth
Verity, in degree-theoretic semantics, quantifies the truth of a statement. It assigns a numerical value between 0 and 1, representing its degree of truth rather than a simple true or…
Verification Constraint: A Deeper Look
A verification constraint is a condition that must be met for a system or process to be considered valid. It ensures accuracy and reliability, often acting as an epistemic constraint.
Vel: Understanding Inclusive Disjunction in Logic
Vel, the Latin word for 'or', represents the logical symbol ∨. It denotes an inclusive disjunction, meaning the entire statement is true if at least one of its parts is…
Variable Assignment in Formal Logic
A variable assignment, sometimes called a variable assignment function, is a crucial interpretation in formal languages for first-order or higher-order logic. It maps variables to values within a model.