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June 1993 Dedekind y la teoría de conjuntos [Dedekind and the theory of sets]
Josep Pla i Carrera
Mod. Log. 3(3): 215-305 (June 1993).


I examine Richard Dedekind's important contributions to set theory. These contributions are made in his mathematical work and I present an exposition of several of his mathematical papers. I develop my paper in the following sections:

1. Dedekind's first contacts with the concept of set [1855-1858]

2. The manuscript of 1858 and the paper of 1872

3. «Supplement X» of Dirichlet's Lectures on Number Theory, second edition [1871]

4. The text of 1888 and the manuscript of 1872-1878

5. An unpublished manuscript of 1887-1897: the dangers of set theory

6. The unpulished manuscripts of 1887 and 1889

7. Dedekind and topology

8. Conclusion

and I show that Dedekind's contributions to set theory are very important and that without them possibly the introduction of set theory into mathematicical work might have appeared later that it did.


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Josep Pla i Carrera. "Dedekind y la teoría de conjuntos [Dedekind and the theory of sets]." Mod. Log. 3 (3) 215 - 305, June 1993.


Published: June 1993
First available in Project Euclid: 6 March 2008

zbMATH: 0788.01032
MathSciNet: MR1223239

Primary: 01A55
Secondary: 04-03 , 04A25

Rights: Copyright © 1993 The Review of Modern Logic


Vol.3 • No. 3 • June 1993
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