set theory

Understanding Axioms: Foundational Truths in Logic and Mathematics

An axiom is a fundamental statement accepted as true without proof. It serves as the bedrock for logical reasoning and…

4 days ago

Antisymmetry in Relations

Antisymmetry is a property of a relation where if 'a' relates to 'b' and 'b' relates to 'a', then 'a'…

4 days ago

Anti-extension in Set Theory and Logic

The anti-extension of a concept or predicate includes all objects that do not fall under its definition. It's the complement…

4 days ago

Abstraction Principle

An abstraction principle is a formula stating that two abstract objects are identical if and only if the objects they…

4 days ago

Quantifiers in Logic and Mathematics

Quantifiers are symbols in logic that specify the quantity of elements in a set that satisfy a certain condition. They…

6 days ago

Cardinal Numbers

Cardinal numbers represent the quantity or size of a set. They answer the question 'how many?' and form the basis…

6 days ago