Brouwer’s concept of mathematics from the perspective of a philosophical analysis of his intuitionism Cover Image

CONCEPŢIA LUI BROUWER DESPRE MATEMATICĂ DIN PERSPECTIVA UNEI ANALIZE FILOSOFICE A INTUIŢIONISMULUI SĂU
Brouwer’s concept of mathematics from the perspective of a philosophical analysis of his intuitionism

Author(s): Viorel Vizureanu
Subject(s): Philosophy, Contemporary Philosophy, Philosophy of Science
Published by: Editura Academiei Române
Keywords: Brouwer; intuitionism; mathematics; constructivism;

Summary/Abstract: This paper continues one of our previous articles in whichwe first tried to identify what we have called the hermeneutical levels, which configurate theinner structure of L.E.J. Brouwer’s original intuitionistic theory. We further analyzedthe first two of these levels (the perspectives on communication and on language),trying to show how other parts of Brouwer’s intuitionism are deeply rooted in elementshighlighted here. In the present paper we focus ourselves at large on the nexthermeneutical layer, offered by Brouwer’s perspective on mathematics, highlighting themain features of intuitionistic mathematics, starting from several of his texts. Thismeans that we also find on this occasion the differences between this peculiar kind ofmathematics and the classical one, all in a philosophical context of analysis.

  • Issue Year: LXIII/2016
  • Issue No: 6
  • Page Range: 761-776
  • Page Count: 16
  • Language: Romanian, Moldavian