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Inhabited set

Definition

In mathematics, a set is inhabited if there exists an element .

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completeness theorem Gödel's incompleteness theorems Gödel numbering Halting problem Hamel basis Hereditary set Higher-order logic Hilbert's axioms Hilbert system History of logic History of mathematical logic Image (mathematics)Inaccessible cardinal Independence (mathematical logic)Inference Inference rule Infinite-valued logic Infinite set Information theory Injective function Interpretation (logic)Interpretation (model theory)Interpretation function Intersection (set theory)Intuitionistic logic Isomorphism Kolmogorov complexity Kripke's theory of truth Kripke model Kripke–Platek set theory Lambda calculus Large cardinal Lemma (mathematics)Lindström's theorem List of Hilbert systems List of axioms List of first-order theories List of formal systems List of mathematical theories List of set identities and relations List of statements independent of ZFC Logic Logical biconditional Logical conjunction Logical connective Logical consequence Logical constant Logical disjunction Logical 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