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Axiom schema

Definition

In mathematical logic, an axiom schema generalizes the notion of axiom.

Related concepts

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 of predicative separation Axiom schema of replacement Axiom schema of specification Axiomatic system Axiomatization of Boolean algebras Banach–Tarski paradox Bertrand Russell Bijection Binary operation Boolean algebra Boolean algebras canonically defined Boolean function Bulletin of Symbolic Logic Burali-Forti paradox Cantor's diagonal argument Cantor's paradox Cantor's theorem Cardinal number Cardinality Cartesian product Categorical theory Category (mathematics)Category of sets Category theory Church encoding Church–Turing thesis Class (set theory)Classical logic Codomain Compactness theorem Complement (set theory)Complete theory Computability theory Computable function Computable set Computably enumerable set Concrete category Conservative extension Consistency Constructible universe Construction of the real numbers Constructive set theory Continuum hypothesis Countable set Czesław Ryll-Nardzewski De Morgan's laws Decidability (logic)Decision problem Dedekind-infinite set Deductive system Diagram (mathematical logic)Disjoint union Domain of a function Edward N. 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