A note on the introduction of Hilbert’s Grundlagen der Geometrie

Detalhes bibliográficos
Autor(a) principal: Venturi,Giorgio
Data de Publicação: 2017
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Manuscrito (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-60452017000200005
Resumo: ABSTRACT We present and discuss a change in the introduction of Hilbert’s Grundlagen der Geometrie between the first and the subsequent editions: the disappearance of the reference to the independence of the axioms. We briefly outline the theoretical relevance of the notion of independence in Hilbert’s work and we suggest that a possible reason for this disappearance is the discovery that Hilbert’s axioms were not, in fact, independent. In the end we show how this change gives textual evidence for the connection between the notions of independence and simplicity.
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spelling A note on the introduction of Hilbert’s Grundlagen der GeometrieHilbertgeometryindependencesimplicityGrundlagen der GeometrieABSTRACT We present and discuss a change in the introduction of Hilbert’s Grundlagen der Geometrie between the first and the subsequent editions: the disappearance of the reference to the independence of the axioms. We briefly outline the theoretical relevance of the notion of independence in Hilbert’s work and we suggest that a possible reason for this disappearance is the discovery that Hilbert’s axioms were not, in fact, independent. In the end we show how this change gives textual evidence for the connection between the notions of independence and simplicity.UNICAMP - Universidade Estadual de Campinas, Centro de Lógica, Epistemologia e História da Ciência2017-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-60452017000200005Manuscrito v.40 n.2 2017reponame:Manuscrito (Online)instname:Universidade Estadual de Campinas (UNICAMP)instacron:UNICAMP10.1590/0100-6045.2017.v40n2.gvinfo:eu-repo/semantics/openAccessVenturi,Giorgioeng2017-07-26T00:00:00Zoai:scielo:S0100-60452017000200005Revistahttp://www.scielo.br/scielo.php?script=sci_serial&pid=0100-6045&lng=pt&nrm=isoPUBhttps://old.scielo.br/oai/scielo-oai.phpmwrigley@cle.unicamp.br|| dascal@spinoza.tau.ac.il||publicacoes@cle.unicamp.br2317-630X0100-6045opendoar:2017-07-26T00:00Manuscrito (Online) - Universidade Estadual de Campinas (UNICAMP)false
dc.title.none.fl_str_mv A note on the introduction of Hilbert’s Grundlagen der Geometrie
title A note on the introduction of Hilbert’s Grundlagen der Geometrie
spellingShingle A note on the introduction of Hilbert’s Grundlagen der Geometrie
Venturi,Giorgio
Hilbert
geometry
independence
simplicity
Grundlagen der Geometrie
title_short A note on the introduction of Hilbert’s Grundlagen der Geometrie
title_full A note on the introduction of Hilbert’s Grundlagen der Geometrie
title_fullStr A note on the introduction of Hilbert’s Grundlagen der Geometrie
title_full_unstemmed A note on the introduction of Hilbert’s Grundlagen der Geometrie
title_sort A note on the introduction of Hilbert’s Grundlagen der Geometrie
author Venturi,Giorgio
author_facet Venturi,Giorgio
author_role author
dc.contributor.author.fl_str_mv Venturi,Giorgio
dc.subject.por.fl_str_mv Hilbert
geometry
independence
simplicity
Grundlagen der Geometrie
topic Hilbert
geometry
independence
simplicity
Grundlagen der Geometrie
description ABSTRACT We present and discuss a change in the introduction of Hilbert’s Grundlagen der Geometrie between the first and the subsequent editions: the disappearance of the reference to the independence of the axioms. We briefly outline the theoretical relevance of the notion of independence in Hilbert’s work and we suggest that a possible reason for this disappearance is the discovery that Hilbert’s axioms were not, in fact, independent. In the end we show how this change gives textual evidence for the connection between the notions of independence and simplicity.
publishDate 2017
dc.date.none.fl_str_mv 2017-06-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-60452017000200005
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-60452017000200005
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/0100-6045.2017.v40n2.gv
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv UNICAMP - Universidade Estadual de Campinas, Centro de Lógica, Epistemologia e História da Ciência
publisher.none.fl_str_mv UNICAMP - Universidade Estadual de Campinas, Centro de Lógica, Epistemologia e História da Ciência
dc.source.none.fl_str_mv Manuscrito v.40 n.2 2017
reponame:Manuscrito (Online)
instname:Universidade Estadual de Campinas (UNICAMP)
instacron:UNICAMP
instname_str Universidade Estadual de Campinas (UNICAMP)
instacron_str UNICAMP
institution UNICAMP
reponame_str Manuscrito (Online)
collection Manuscrito (Online)
repository.name.fl_str_mv Manuscrito (Online) - Universidade Estadual de Campinas (UNICAMP)
repository.mail.fl_str_mv mwrigley@cle.unicamp.br|| dascal@spinoza.tau.ac.il||publicacoes@cle.unicamp.br
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