The infiniteness of being: Cantor's transfinite set theory and its metaphysical roots
type: Item
instance of: scholarly article
title: The infiniteness of being: Cantor's transfinite set theory and its metaphysical roots
zbMATH Open document ID: 0782.01010
author: Hans Bandmann
published in: Lecture Notes in Economics and Mathematical Systems
publication date: 1993-09-02T00:00:00Z
review text: This Ph. D. thesis (Univ. Düsseldorf, Dept. Philos., 1989) reconsiders Cantor's way toward set theory and very much emphasises that there have been essential philosophical, metaphysical influences to his thinking: mainly through his knowledge of work of Spinoza and Pascal. Also if the present work sometimes seems to overestimate this influence, it convincingly argues that the usual purely mathematical interpretation of Cantor underestimates his philosophical background. The author, a non- mathematician, usually interprets and cites the mathematical notions well. The more it astonishes that within the text from time to time he refers to literature that is not given in the list of references.
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 03-03
Mathematics Subject Classification ID: 03A05
Mathematics Subject Classification ID: 00A30
zbMATH DE Number: 408986
zbMATH Keywords: Georg Cantor
zbMATH Keywords: set theory
zbMATH Keywords: origin of set theory
zbMATH Keywords: metaphysics
zbMATH Keywords: philosophy of Cantor
reviewed by: Siegfried J. Gottwald
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 408986