Mathematics

Monadic Function

A monadic function is a function that accepts exactly one argument. It's a fundamental concept in mathematics and programming, often…

5 days ago

Model Theory

Model theory is a branch of mathematical logic exploring the connections between formal languages and their meanings in mathematical structures.…

5 days ago

Model-Theoretic Validity

Model-theoretic validity refers to the truth of a statement within all possible interpretations or models. It's a cornerstone of formal…

5 days ago

Model in Logic and Mathematics

A model in logic and mathematics interprets the symbols of a formal language, satisfying the axioms and theorems of a…

5 days ago

Metatheory

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

5 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…

5 days ago

Metamathematics

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

5 days ago

Matrix in Logic

The matrix is the quantifier-free part of a formula after it's converted to prenex normal form. It's the core propositional…

5 days ago

Mathematical Logic

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

5 days ago

Mathematical Induction Schema

Mathematical induction schema is a synonym for mathematical induction, a fundamental proof technique used in mathematics to establish the truth…

5 days ago