A Historical-philosophical Sketch of the Beginnings of Strict Finitism Cover Image

SCHIŢĂ ISTORICO-FILOSOFICĂ A ÎNCEPUTURILOR FINITISMULUI STRICT
A Historical-philosophical Sketch of the Beginnings of Strict Finitism

Author(s): Viorel Vizureanu
Subject(s): Epistemology, Contemporary Philosophy
Published by: Editura Academiei Române
Keywords: Strict finitism; Intuitionism; Paul Bernays; Émile Borel; David van Dantzig; L.E.J. Brouwer;

Summary/Abstract: Theaim of our paper is to offer a historical sketch of the beginnings of strict finitism,especially from the point of view of its many philosophical aspects. A major hypothesisof our approach is that this presentation could be better done if we have in mind as anecessary background the intuitionistic, and broadly speaking constructivist mathematicalissues, also in a historical dimension. As a result, apart from some brief generalremarks, we will give here an insight mainly into the texts of some pioneering works inthis field of Paul Bernays, Émile Borel and David van Dantzig and into some importantconnections with Brouwer’s intuitionism.

  • Issue Year: LXVI/2019
  • Issue No: 2
  • Page Range: 187-206
  • Page Count: 20
  • Language: Romanian, Moldavian
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