Natural Numbers and Infinitesimals: A Discussion between Benno Kerry and Georg Cantor
During the first months of 1887, while completing the drafts of his Mitteilungen zur Lehre vom Transfiniten, Georg Cantor maintained a continuous correspondence with Benno Kerry. Their exchange essentially concerned two main topics in the philosophy of mathematics, namely, (a) the concept of natural number and (b) the infinitesimals. Cantor's and Kerry's positions turned out to be irreconcilable, mostly because of Kerry's irremediably psychologistic outlook, according to Cantor at least. In this study, I will examine and reconstruct the main points in the discussion around (a) and (b) and stress some interesting aspects of the philosophical and mathematical thought of Benno Kerry.
Document Type: Research Article
Affiliations: IHPST, Universite de Paris1, Paris, France,Dipartimento di filosofia, Universita di Pisa, Italy
Publication date: 01 November 2008
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