Theory of Sets

Nicolas Bourbaki

Chapter Chapter II in Theory of Sets, 2004, pp 65-129 from Springer

Abstract: Abstract The theory of sets is a theory which contains the relational signs =, ∈ and the substantific sign ⊃ (all these signs being of weight 2); in addition to the schemes S1 to S7 given in Chapter I, it contains the scheme S8, which will be introduced in no. 6, and the explicit axioms Al (no. 3.) A2 (no. 5), A3 (§ 2, no. 1), A4 (§ 5, no. 1), and A5 (Chapter III, § 6, no. 1), These explicit axioms contain no letters; in other words, the theory of sets is a theory without constants.

Keywords: Equivalence Class; Equivalence Relation; Identity Mapping; Distinct Element; Inverse Image (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-3-642-59309-3_3

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