Husserl's phenomenology and Weyl's predictivism
type: Item
instance of: scholarly article
title: Husserl's phenomenology and Weyl's predictivism
zbMATH Open document ID: 0927.01014
DOI: 10.1023/A:1004937311034
author: Jairo José da Silva
published in: Synthese
publication date: 1999-12-08T00:00:00Z
review text: The author shows that Husserl's phenomenology can be regarded as some sort of background philosophy of \textit{Hermann Weyl}'s important book ``Das Kontinuum'' [Veit, Leipzig (1918; JFM 46.0056.01); see for the first English edition (1987; Zbl 0742.03001) and for the last reprint of the English translation Dover, New York (1994; Zbl 0849.03001)]. The author stresses, however, that Weyl gave not ``a faithful interpretation of Husserl's thought''. Weyl's approach is rather ``the mathematical complementation of the phenomenologist's work'' (p. 279). His adoption of Husserlian ideas can be compared to his attitude towards Brouwerian intuitionism: he took over basic ideas, but contradicted in other respects. In the case of phenomenology Weyl strictly followed the Husserlian principle of the primacy of intuition in the founding of knowledge. The author concludes ``that Husserl's phenomenology does indeed constitute an important and perhaps essential component of the philosophical environment in which Weyl carries out his reconstruction of classical mathematical analysis, not only by providing its fundamental notion, that of a general form of perception, but also by shaping its technical features'' (p. 295).
reviewed by: Volker Peckhaus
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 00A30
zbMATH DE Number: 1322831
zbMATH Keywords: constructivism
zbMATH Keywords: intuitionism
zbMATH Keywords: continuum
zbMATH Keywords: intuition
zbMATH Keywords: objectivity
zbMATH Keywords: meaning
zbMATH Keywords: predicative analysis
zbMATH Keywords: JFM 46.0056.01
MaRDI profile type: Publication
cites work: Mathematical intuition. Phenomenology and mathematical knowledge
full work available at URL: a:1004937311034
OpenAlex ID: W51371546
description: scientific article; zbMATH DE number 1322831