Weak induction proves a statement for natural numbers by assuming it's true for the immediately preceding case. This contrasts with…
The weak excluded middle asserts that for any proposition P, either P or not-P is provable. This differs from classical…
A weak counterexample in intuitionistic logic signifies a lack of positive evidence for an instance of the law of excluded…
A variable assignment, sometimes called a variable assignment function, is a crucial interpretation in formal languages for first-order or higher-order…
A vacuous quantifier is a logical operator that does not bind any variables within its scope. An example is the…
The upward Löwenheim–Skolem theorem states that if a first-order theory has an infinite model, it has models of arbitrarily large…
The universe of discourse defines the scope of elements relevant to a logical or mathematical discussion. It acts as the…
The universal quantifier (∀) in predicate logic signifies that a statement is true for every individual within a specified domain.…
The universal introduction rule in predicate logic allows inferring a general statement about all members of a category. This is…
A unary function takes a single input. It's fundamental in math and logic, seen in operations like negation and absolute…