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On the Development of the Notion of a Cardinal Number

2010/04/29 by Oliver Deiser · 1 citation
Mathematics · #Advanced Topology and Set Theory #Analytic Number Theory Research #History and Theory of Mathematics

paper · doi:10.1080/01445340903545904

openalex publication_date 2010/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We discuss the concept of a cardinal number and its history, focussing on Cantor's work and its reception. J'ay fait icy à peu pres comme Euclide, qui ne pouvant pas bien >faire< entendre absolument ce que c'est que raison prise dans le sens des Geometres, definit bien ce que c'est que memes raisons. (Leibniz) 1 1 Fifth letter to Clarke of August 1716, art. 47. See Robinet 1957, 145. ‘I have here done much like Euclid, who not being able to make his readers well understand what ratio is absolutely in the sense of geometricians: defines what are the same ratios’ (Alexander 1956 Alexander H. G. 1956 The Leibniz Clarke Correspondence Manchester Manchester University Press [Google Scholar]).

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