Reflexivity and Duplicability in Set Theory

Vincenzo Manca ()
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Vincenzo Manca: Department of Computer Science, University of Verona, 37134 Verona, Italy

Mathematics, 2025, vol. 13, issue 4, 1-9

Abstract: Set reflexivity and duplicability are considered by showing, with different proofs, their equivalence with Dedekind’s infinity. Then, an easy derivation of the Schröder–Bernstein theorem is presented, a fundamental result in the theory of cardinal numbers, usually based on arguments that are not very intuitive.

Keywords: cardinality; choice axiom; set duplicability; Dedekind infinity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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