Aleph null (ℵ0): the smallest infinite cardinal Aleph null Aleph null (ℵ0) denotes the cardinality of the natural numbers: the first infinite cardinal. This article explains its meaning, examples, basic properties, history and key distinct…
Axiom of Choice Set-theory axiom asserting the ability to choose one element from each of a family of nonempty sets; important equivalents, history, examples, and mathematical consequences.
Boolean algebra: structure, laws, history, and applications Boolean algebra Boolean algebra studies binary values and logical operations (AND, OR, NOT). It provides rules for simplifying logical expressions and underlies digital circuits, set operations, a…
Cardinality of sets: measuring the size of finite and infinite collections Cardinality Explore cardinality: how mathematicians define and compare the size of finite and infinite sets using bijections and injections, and classify sets as finite, countable, or uncounta…
