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Natural numbers and infinitesimals: a discussion between Benno Kerry and Georg Cantor

In English

Författare

  • Carlo Proietti

Summary, in English

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.

Publiceringsår

2008

Språk

Engelska

Sidor

343-359

Publikation/Tidskrift/Serie

History and Philosophy of Logic

Volym

29

Issue

4

Dokumenttyp

Artikel i tidskrift

Förlag

Taylor & Francis

Ämne

  • Philosophy

Nyckelord

  • history of logic
  • infinitesimals
  • history of mathematics
  • natural numbers

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 0144-5340