On Two Different Lines of Argumentation in Kant's Theory of Schematism of Empirical and Mathematical Concepts

Autores
Arias, Martin
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The aim of this article is to show that the Schematism chapter of Kant´s "Critique of Pure Reason" presents two different and irreconcilable lines of argumentation of the schematism of empirical and mathematical concepts. These two lines of argumentation are two different ways of approaching the same problem, i.e., the difference between the universality of empirical and mathematical concepts and the singularity of their corresponding intuitions. 1) The first line of argumentation conceives of the schemata as procedures of synthesis (and not as rules of synthesis, as they are often interpreted). In this case, a schema is a universal procedure of the imagination to constitute singular intuitions as cases of their corresponding universal concepts. The content of a concept, i.e., that which is thought in it, requires a certain and determinate synthesis of the sensible manifold, and our imagination responds to this exigency by generating a universal procedure of synthesis (schema). 2) The second line of argumentation interprets schemata as universal figures or monograms. These universal figures are generated by imagination in accordance with the content of concepts. Such figures can be understood as intuitive characteristics that express the content of concepts in their universality and whose aspect resembles that of all the particular cases of the concepts in question. These particular cases are constituted through and in conformity with the universal figures that, as schemata, correspond to their universal concepts.
Fil: Arias, Martin. Universidad Nacional de Rosario; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Kant
Schematism
Empirical
Mathematical
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/34379

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spelling On Two Different Lines of Argumentation in Kant's Theory of Schematism of Empirical and Mathematical ConceptsArias, MartinKantSchematismEmpiricalMathematicalhttps://purl.org/becyt/ford/6.3https://purl.org/becyt/ford/6The aim of this article is to show that the Schematism chapter of Kant´s "Critique of Pure Reason" presents two different and irreconcilable lines of argumentation of the schematism of empirical and mathematical concepts. These two lines of argumentation are two different ways of approaching the same problem, i.e., the difference between the universality of empirical and mathematical concepts and the singularity of their corresponding intuitions. 1) The first line of argumentation conceives of the schemata as procedures of synthesis (and not as rules of synthesis, as they are often interpreted). In this case, a schema is a universal procedure of the imagination to constitute singular intuitions as cases of their corresponding universal concepts. The content of a concept, i.e., that which is thought in it, requires a certain and determinate synthesis of the sensible manifold, and our imagination responds to this exigency by generating a universal procedure of synthesis (schema). 2) The second line of argumentation interprets schemata as universal figures or monograms. These universal figures are generated by imagination in accordance with the content of concepts. Such figures can be understood as intuitive characteristics that express the content of concepts in their universality and whose aspect resembles that of all the particular cases of the concepts in question. These particular cases are constituted through and in conformity with the universal figures that, as schemata, correspond to their universal concepts.Fil: Arias, Martin. Universidad Nacional de Rosario; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaKant Studies Online2014-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/34379Arias, Martin; On Two Different Lines of Argumentation in Kant's Theory of Schematism of Empirical and Mathematical Concepts; Kant Studies Online; Kant Studies Online; 2014; 1-2014; 1-422045-3396CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://kantstudiesonline.net/uploads/files/AriasAlbisuMartin01713.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:24:12Zoai:ri.conicet.gov.ar:11336/34379instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-10 13:24:12.98CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On Two Different Lines of Argumentation in Kant's Theory of Schematism of Empirical and Mathematical Concepts
title On Two Different Lines of Argumentation in Kant's Theory of Schematism of Empirical and Mathematical Concepts
spellingShingle On Two Different Lines of Argumentation in Kant's Theory of Schematism of Empirical and Mathematical Concepts
Arias, Martin
Kant
Schematism
Empirical
Mathematical
title_short On Two Different Lines of Argumentation in Kant's Theory of Schematism of Empirical and Mathematical Concepts
title_full On Two Different Lines of Argumentation in Kant's Theory of Schematism of Empirical and Mathematical Concepts
title_fullStr On Two Different Lines of Argumentation in Kant's Theory of Schematism of Empirical and Mathematical Concepts
title_full_unstemmed On Two Different Lines of Argumentation in Kant's Theory of Schematism of Empirical and Mathematical Concepts
title_sort On Two Different Lines of Argumentation in Kant's Theory of Schematism of Empirical and Mathematical Concepts
dc.creator.none.fl_str_mv Arias, Martin
author Arias, Martin
author_facet Arias, Martin
author_role author
dc.subject.none.fl_str_mv Kant
Schematism
Empirical
Mathematical
topic Kant
Schematism
Empirical
Mathematical
purl_subject.fl_str_mv https://purl.org/becyt/ford/6.3
https://purl.org/becyt/ford/6
dc.description.none.fl_txt_mv The aim of this article is to show that the Schematism chapter of Kant´s "Critique of Pure Reason" presents two different and irreconcilable lines of argumentation of the schematism of empirical and mathematical concepts. These two lines of argumentation are two different ways of approaching the same problem, i.e., the difference between the universality of empirical and mathematical concepts and the singularity of their corresponding intuitions. 1) The first line of argumentation conceives of the schemata as procedures of synthesis (and not as rules of synthesis, as they are often interpreted). In this case, a schema is a universal procedure of the imagination to constitute singular intuitions as cases of their corresponding universal concepts. The content of a concept, i.e., that which is thought in it, requires a certain and determinate synthesis of the sensible manifold, and our imagination responds to this exigency by generating a universal procedure of synthesis (schema). 2) The second line of argumentation interprets schemata as universal figures or monograms. These universal figures are generated by imagination in accordance with the content of concepts. Such figures can be understood as intuitive characteristics that express the content of concepts in their universality and whose aspect resembles that of all the particular cases of the concepts in question. These particular cases are constituted through and in conformity with the universal figures that, as schemata, correspond to their universal concepts.
Fil: Arias, Martin. Universidad Nacional de Rosario; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description The aim of this article is to show that the Schematism chapter of Kant´s "Critique of Pure Reason" presents two different and irreconcilable lines of argumentation of the schematism of empirical and mathematical concepts. These two lines of argumentation are two different ways of approaching the same problem, i.e., the difference between the universality of empirical and mathematical concepts and the singularity of their corresponding intuitions. 1) The first line of argumentation conceives of the schemata as procedures of synthesis (and not as rules of synthesis, as they are often interpreted). In this case, a schema is a universal procedure of the imagination to constitute singular intuitions as cases of their corresponding universal concepts. The content of a concept, i.e., that which is thought in it, requires a certain and determinate synthesis of the sensible manifold, and our imagination responds to this exigency by generating a universal procedure of synthesis (schema). 2) The second line of argumentation interprets schemata as universal figures or monograms. These universal figures are generated by imagination in accordance with the content of concepts. Such figures can be understood as intuitive characteristics that express the content of concepts in their universality and whose aspect resembles that of all the particular cases of the concepts in question. These particular cases are constituted through and in conformity with the universal figures that, as schemata, correspond to their universal concepts.
publishDate 2014
dc.date.none.fl_str_mv 2014-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/34379
Arias, Martin; On Two Different Lines of Argumentation in Kant's Theory of Schematism of Empirical and Mathematical Concepts; Kant Studies Online; Kant Studies Online; 2014; 1-2014; 1-42
2045-3396
CONICET Digital
CONICET
url http://hdl.handle.net/11336/34379
identifier_str_mv Arias, Martin; On Two Different Lines of Argumentation in Kant's Theory of Schematism of Empirical and Mathematical Concepts; Kant Studies Online; Kant Studies Online; 2014; 1-2014; 1-42
2045-3396
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://kantstudiesonline.net/uploads/files/AriasAlbisuMartin01713.pdf
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Kant Studies Online
publisher.none.fl_str_mv Kant Studies Online
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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