formal systems

Non-Commutative Logic

Explore non-commutative logic, where operation order matters, unlike classical logic's commutative properties. Understand its implications for computation, reasoning, and formal…

4 days ago

Monadic Predicate

A monadic predicate asserts a property about a single entity within a given domain. It's a fundamental concept in logic…

4 days ago

Monadic First-Order Logic

Monadic first-order logic simplifies first-order logic by using only predicates with a single argument. This focuses on the properties of…

4 days ago

Metatheory

Metatheory involves the theoretical analysis of mathematical and logical systems. It examines properties, structure, and foundational aspects, providing a meta-level…

4 days ago

Metatheorem: Understanding Theorems About Theories

A metatheorem is a theorem that describes properties of a formal system, such as consistency or completeness. It operates on…

4 days ago

Metamathematics

Metamathematics examines mathematical systems and theories from an elevated viewpoint, employing principles of mathematical logic. It explores the foundations and…

4 days ago

Metalogic: Understanding the Foundations of Logic

Metalogic explores the inherent properties of formal logical systems and languages. It investigates crucial aspects such as consistency, completeness, and…

4 days ago

Metalanguage: Understanding the Language of Language

A metalanguage is a system used to describe or analyze another language, known as the object language. It's crucial in…

4 days ago

Mathematical Logic

Mathematical logic is the study of logic within mathematical reasoning. It explores the formal properties of logical systems, proving theorems,…

4 days ago

LP (Logic of Paradox)

The Logic of Paradox (LP) is a formal system designed to handle paradoxical statements. It allows for truth-value gaps and…

4 days ago