Cantor–Bernstein–Schroeder theorem
Sign in to saveAlso known as Cantor-Bernstein-Schroeder theorem, Bernstein Theorem, Cantor–Bernstein theorem, Bernstein–Schroeder theorem, Schröder–Bernstein theorem, Cantor–Schröder–Bernstein theorem
theorem that, if there exist injective functions in both directions between two sets, then there exists a bijection between them
In the Vinony graph
Vinony's link graph records 342 inbound references to Cantor–Bernstein–Schroeder theorem, and connects out to semantic theory of truth, mathematical logic and proposition.
It is catalogued under topics including Cardinal numbers and Theorems in the foundations of mathematics.
Vinony links it to 20 Wikipedia language editions.
Wikidata facts
- Instance of
- theorem
- Named after
- Georg Cantor
- Image
- CantorEquivalenceTheorem1887b.gif
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- logical consequence of
- Zermelo–Fraenkel set theory
- different from
- Cantor's theorem
- Commons category
- Schröder-Bernstein theorem
- maintained by WikiProject
- WikiProject Mathematics
- statement describes
- injection
- studied by
- set theory
- proved by
- Felix Bernstein
Sources (2)
via Wikidata · CC0
Connections
semantic theory of truth
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mathematical logic
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proposition
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cardinality
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first-order logic
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formal system
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recursive set
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axiom schema of specification
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semantics of logic
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structure
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diagram
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ground expression
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logic
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truth
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Bertrand Russell
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International Standard Book Number
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probability
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name
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set theory
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function
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