Set theory -- from Cantor's heaven to the first theory among equals
type: Item
instance of: scholarly article
title: Set theory -- from Cantor's heaven to the first theory among equals
zbMATH Open document ID: 0913.01021
DOI: 10.1007/BF02913788
author: Peter Schreiber
published in: NTM. Neue Serie
publication date: 1999-02-10T00:00:00Z
review text: Addressing a wider audience the author describes the development of set theory and of its logical foundations as a sequence of catastrophes (such as paradoxes, theorems of Löwenheim-Skolem, Gödel) and of attempted rescues. The nature of formal definitions and their role in the foundations of mathematics are considered in some detail. The goal of the paper is to explain how it is possible that set theory as a universal ontology of mathematics failed but the language of sets is successful in mathematical practice.
reviewed by: Detlef Laugwitz
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 03-03
zbMATH DE Number: 1249141
zbMATH Keywords: set theory
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1249141