A note on the introduction of Hilbert’s Grundlagen der Geometrie
Autor(a) principal: | |
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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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Manuscrito (Online) |
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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 |
_version_ |
1748950065371676672 |