Mathematical Proof from the Formalistic Viewpoint. Part I Cover Image

Dowód matematyczny z punktu widzenia formalizmu matematycznego. Część I
Mathematical Proof from the Formalistic Viewpoint. Part I

Author(s): Krzysztof Wójtowicz
Subject(s): Philosophy
Published by: Towarzystwo Naukowe KUL & Katolicki Uniwersytet Lubelski Jana Pawła II
Keywords: Descartes; Berkeley; Peacock; Pasch; formalizm

Summary/Abstract: This article is the first one to examine the evolution of the notion of mathematical proof in a historical perspective. First I present the intuitive, approach of Descartes, according to which mathematical proof is based on self-evident principles. I follow with an analysis of Berkeley’s mathematical instrumentalism and argue that he can be considered a predecessor of modern formalism. The article also deals with the ideas of Peacock and Pasch, and their role in the development of the modern formalistic viewpoint.

  • Issue Year: 55/2007
  • Issue No: 2
  • Page Range: 123-138
  • Page Count: 16
  • Language: Polish
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