Cardinality without enumeration
type: Item
instance of: scholarly article
title: Cardinality without enumeration
zbMATH Open document ID: 1096.03058
author: Athanassios Tzouvaras
published in: Studia Logica
publication date: 2006-01-30T00:00:00Z
review text: Usually cardinals are defined by means of ordinals. In this paper the author shows that the notion of cardinality is independent from that of well-ordering, and so is independent from ordinals in ZF set theory. Motivating physical phenomena concerning quantum mechanics and the problem of individuality are discussed.
reviewed by: Adonai S. Sant'Anna
Mathematics Subject Classification ID: 03E10
Mathematics Subject Classification ID: 03E25
Mathematics Subject Classification ID: 03E35
Mathematics Subject Classification ID: 03H15
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 5002527
zbMATH Keywords: cardinality
zbMATH Keywords: choice
zbMATH Keywords: well-ordering
zbMATH Keywords: quantum mechanics
zbMATH Keywords: individuality
zbMATH Keywords: generic class
zbMATH Keywords: separation class
zbMATH Keywords: nonstandard model of arithmetic
MaRDI profile type: Publication
full work available at URL: s11225-005-6780-8
OpenAlex ID: W2045861379
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DOI: 10.1007/S11225-005-6780-8
description: scientific article; zbMATH DE number 5002527