Weak induction proves a statement for natural numbers by assuming it's true for the immediately preceding case. This contrasts with…
Weak completeness states that if a statement is semantically valid (true in all interpretations), then it is provable within the…
The vicious circle principle safeguards against circular definitions and arguments. It ensures that a concept is not defined using itself…
Verum, Latin for 'true,' is a symbol (⊤) representing a primitive, necessarily true statement. It's a fundamental concept in logic,…
Vel, the Latin word for 'or', represents the logical symbol ∨. It denotes an inclusive disjunction, meaning the entire statement…
A valuation assigns semantic values, like truth values, to formulas in a formal language. It's essentially an interpretation, crucial for…
The universe of discourse defines the scope of elements relevant to a logical or mathematical discussion. It acts as the…
A universal proposition in logic makes a claim about every single member of a specific group or category. It's a…
A unary relation, also known as a monadic relation, describes a property or attribute that a single element can possess…
A unary function takes a single input. It's fundamental in math and logic, seen in operations like negation and absolute…