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Infinite set

Definition

In set theory, an infinite set is a set that is not a finite set. Infinite sets may be countable or uncountable.

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Abraham Fraenkel Abstract logic Ackermann set theory Aleph number Algebraic logic Almost Alphabet (formal languages)Alternative set theory Amorphous set Argument Arity Atomic formula Atomic model (mathematical logic)Atomic sentence Automata theory Automated theorem proving Axiom Axiom of adjunction Axiom of choice Axiom of constructibility Axiom of countable choice Axiom of dependent choice Axiom of determinacy Axiom of extensionality Axiom of global choice Axiom of infinity Axiom of limitation of size Axiom of pairing Axiom of power set Axiom of projective determinacy Axiom of regularity Axiom of union Axiom schema Axiom schema of replacement Axiom schema of specification Axiomatic system Axiomatization of Boolean algebras Banach–Tarski paradox Bernard Bolzano Bertrand Russell Bijection Binary operation Boolean algebra Boolean algebras canonically defined Boolean function Burali-Forti paradox Cantor's diagonal argument Cantor's paradox Cantor's theorem Cardinal number Cardinality 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