Dowód matematyczny z punktu widzenia formalizmu matematycznego. Część I
Mathematical Proof from the Formalistic Viewpoint. Part I
Author(s): Krzysztof WójtowiczSubject(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.
Journal: Roczniki Filozoficzne
- Issue Year: 55/2007
- Issue No: 2
- Page Range: 123-138
- Page Count: 16
- Language: Polish