mathematical

n-ary Function

An n-ary function accepts 'n' arguments, where 'n' is a natural number. This generalizes binary functions to handle any number…

3 weeks ago

Model Theory

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

3 weeks ago

Metatheory

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

3 weeks ago

Metamathematics

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

3 weeks ago

Mathematical Logic

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

3 weeks ago

Mathematical Induction Schema

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

3 weeks ago

Mathematical Induction

Mathematical induction is a powerful proof technique for natural numbers. It involves proving a base case and then demonstrating that…

3 weeks ago

Mathematical Abstractionism

Mathematical abstractionism posits that mathematical concepts are derived from physical objects and their properties. These entities don't exist independently but…

3 weeks ago

Markov’s Principle

Markov's Principle, a cornerstone of constructive mathematics, asserts that if a property is impossible to lack, then an object possessing…

3 weeks ago

Löb’s Theorem

Löb's theorem in mathematical logic states that if a system can prove that a statement implies its own provability, then…

3 weeks ago