Frege’s horizontal and the liar-paradox
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Manuscrito (Online) |
Texto Completo: | https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8644405 |
Resumo: | According to Peter Aczel, the inconsistency of Frege’s system in Grundgesetze is due, not to the introduction of sets, as is usually thought, but to the introduction of the Horizontal. His argument is that the principles governing sets are intuitively correct and therefore consistent, while the scheme introducing the Horizontal amounts to an internal definition of truth conflicting with Tarski’s classic result on the undefinability of truth in the object language. The aim of this paper is to show that the Horizontal is innocent: Aczel’s diagnosis is based on a mistaken view of the structure underlying Frege’s ideal language. |
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Frege’s horizontal and the liar-paradoxFrege’s Horizontal. Liar-paradox. Truth. The True. Undefinability of truthAccording to Peter Aczel, the inconsistency of Frege’s system in Grundgesetze is due, not to the introduction of sets, as is usually thought, but to the introduction of the Horizontal. His argument is that the principles governing sets are intuitively correct and therefore consistent, while the scheme introducing the Horizontal amounts to an internal definition of truth conflicting with Tarski’s classic result on the undefinability of truth in the object language. The aim of this paper is to show that the Horizontal is innocent: Aczel’s diagnosis is based on a mistaken view of the structure underlying Frege’s ideal language.Universidade Estadual de Campinas2016-03-21info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8644405Manuscrito: Revista Internacional de Filosofia; v. 26 n. 2 (2003): Jul./Dez.; 359-387Manuscrito: International Journal of Philosophy; Vol. 26 No. 2 (2003): Jul./Dez.; 359-387Manuscrito: Revista Internacional de Filosofía; Vol. 26 Núm. 2 (2003): Jul./Dez.; 359-3872317-630Xreponame:Manuscrito (Online)instname:Universidade Estadual de Campinas (UNICAMP)instacron:UNICAMPporhttps://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8644405/11827Copyright (c) 2003 Manuscritoinfo:eu-repo/semantics/openAccessGreimann, Dirk2016-03-21T10:43:56Zoai:ojs.periodicos.sbu.unicamp.br:article/8644405Revistahttps://periodicos.sbu.unicamp.br/ojs/index.php/manuscritoPUBhttps://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/oaimwrigley@cle.unicamp.br|| dascal@spinoza.tau.ac.il||publicacoes@cle.unicamp.br2317-630X0100-6045opendoar:2016-03-21T10:43:56Manuscrito (Online) - Universidade Estadual de Campinas (UNICAMP)false |
dc.title.none.fl_str_mv |
Frege’s horizontal and the liar-paradox |
title |
Frege’s horizontal and the liar-paradox |
spellingShingle |
Frege’s horizontal and the liar-paradox Greimann, Dirk Frege’s Horizontal. Liar-paradox. Truth. The True. Undefinability of truth |
title_short |
Frege’s horizontal and the liar-paradox |
title_full |
Frege’s horizontal and the liar-paradox |
title_fullStr |
Frege’s horizontal and the liar-paradox |
title_full_unstemmed |
Frege’s horizontal and the liar-paradox |
title_sort |
Frege’s horizontal and the liar-paradox |
author |
Greimann, Dirk |
author_facet |
Greimann, Dirk |
author_role |
author |
dc.contributor.author.fl_str_mv |
Greimann, Dirk |
dc.subject.por.fl_str_mv |
Frege’s Horizontal. Liar-paradox. Truth. The True. Undefinability of truth |
topic |
Frege’s Horizontal. Liar-paradox. Truth. The True. Undefinability of truth |
description |
According to Peter Aczel, the inconsistency of Frege’s system in Grundgesetze is due, not to the introduction of sets, as is usually thought, but to the introduction of the Horizontal. His argument is that the principles governing sets are intuitively correct and therefore consistent, while the scheme introducing the Horizontal amounts to an internal definition of truth conflicting with Tarski’s classic result on the undefinability of truth in the object language. The aim of this paper is to show that the Horizontal is innocent: Aczel’s diagnosis is based on a mistaken view of the structure underlying Frege’s ideal language. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-03-21 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8644405 |
url |
https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8644405 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8644405/11827 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2003 Manuscrito info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2003 Manuscrito |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Universidade Estadual de Campinas |
publisher.none.fl_str_mv |
Universidade Estadual de Campinas |
dc.source.none.fl_str_mv |
Manuscrito: Revista Internacional de Filosofia; v. 26 n. 2 (2003): Jul./Dez.; 359-387 Manuscrito: International Journal of Philosophy; Vol. 26 No. 2 (2003): Jul./Dez.; 359-387 Manuscrito: Revista Internacional de Filosofía; Vol. 26 Núm. 2 (2003): Jul./Dez.; 359-387 2317-630X 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_ |
1800216566187425792 |