Brouwer and cardinalities

Klaas Pieter Hart

doi:10.1016/j.indag.2017.12.008

Brouwer and cardinalities

Klaas Pieter Hart

Analysis

Research output: Contribution to journal › Article › Scientific › peer-review

44 Downloads (Pure)

Abstract

This note is a somewhat personal account of a paper that L.E.J. Brouwer published in 1908 and that dealt with the possible cardinalities of subsets of the continuum. That paper is of interest because it represents the first time that Brouwer presented his ideas on foundations in an international forum. I found Brouwer's notions and arguments at times hard to grasp if not occasionally perplexing. I hope that this note contributes to a further discussion of the definitions and reasonings as presented in Brouwer's paper.

Original language	English
Pages (from-to)	1555-1564
Number of pages	10
Journal	Indagationes Mathematicae
Volume	29
Issue number	6
DOIs	https://doi.org/10.1016/j.indag.2017.12.008
Publication status	Published - 2018

Bibliographical note

Virtual Special Issue - L.E.J. Brouwer after 50 years

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

Cardinalities
Closed set
Continuum
L.E.J. Brouwer

Access to Document

10.1016/j.indag.2017.12.008

1-s2.0-S0019357718303264-mainFinal published version, 294 KB

Cite this

@article{e7e2db4547e244d0a0643a00ba526d90,

title = "Brouwer and cardinalities",

abstract = "This note is a somewhat personal account of a paper that L.E.J. Brouwer published in 1908 and that dealt with the possible cardinalities of subsets of the continuum. That paper is of interest because it represents the first time that Brouwer presented his ideas on foundations in an international forum. I found Brouwer's notions and arguments at times hard to grasp if not occasionally perplexing. I hope that this note contributes to a further discussion of the definitions and reasonings as presented in Brouwer's paper.",

keywords = "Cardinalities, Closed set, Continuum, L.E.J. Brouwer",

author = "Hart, {Klaas Pieter}",

note = "Virtual Special Issue - L.E.J. Brouwer after 50 years Green Open Access added to TU Delft Institutional Repository {\textquoteleft}You share, we take care!{\textquoteright} – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.",

year = "2018",

doi = "10.1016/j.indag.2017.12.008",

language = "English",

volume = "29",

pages = "1555--1564",

journal = "Indagationes Mathematicae",

issn = "0019-3577",

publisher = "Elsevier",

number = "6",

}

TY - JOUR

T1 - Brouwer and cardinalities

AU - Hart, Klaas Pieter

N1 - Virtual Special Issue - L.E.J. Brouwer after 50 years Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

PY - 2018

Y1 - 2018

N2 - This note is a somewhat personal account of a paper that L.E.J. Brouwer published in 1908 and that dealt with the possible cardinalities of subsets of the continuum. That paper is of interest because it represents the first time that Brouwer presented his ideas on foundations in an international forum. I found Brouwer's notions and arguments at times hard to grasp if not occasionally perplexing. I hope that this note contributes to a further discussion of the definitions and reasonings as presented in Brouwer's paper.

AB - This note is a somewhat personal account of a paper that L.E.J. Brouwer published in 1908 and that dealt with the possible cardinalities of subsets of the continuum. That paper is of interest because it represents the first time that Brouwer presented his ideas on foundations in an international forum. I found Brouwer's notions and arguments at times hard to grasp if not occasionally perplexing. I hope that this note contributes to a further discussion of the definitions and reasonings as presented in Brouwer's paper.

KW - Cardinalities

KW - Closed set

KW - Continuum

KW - L.E.J. Brouwer

UR - http://www.scopus.com/inward/record.url?scp=85050367090&partnerID=8YFLogxK

U2 - 10.1016/j.indag.2017.12.008

DO - 10.1016/j.indag.2017.12.008

M3 - Article

SN - 0019-3577

VL - 29

SP - 1555

EP - 1564

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

IS - 6

ER -

Brouwer and cardinalities

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint