Sequent calculus is a formal system representing logical deductions. It uses sequences of formulas before and after a turnstile, signifying…
Sentential logic, also known as propositional logic, examines the relationships between complete sentences or propositions. It focuses on how these…
The semantic tableau method is a systematic proof technique in logic. It employs a tree structure to analyze the truth…
Propositional connectives, also known as logical connectives, are fundamental symbols in logic. They combine simple propositions to form complex ones,…
Proof by induction is a powerful mathematical technique used to prove statements for an infinite number of cases. It relies…
A hypothetical total way things might have been or could be. Used in modal logic to analyze concepts like possibility,…
A pairing function maps pairs of natural numbers to a single natural number, preserving uniqueness. This allows ordered pairs to…
A monadic predicate asserts a property about a single entity within a given domain. It's a fundamental concept in logic…
A metalanguage is a system used to describe or analyze another language, known as the object language. It's crucial in…
Mathematical induction is a powerful proof technique for natural numbers. It involves proving a base case and then demonstrating that…