Mathematics, science and the Cambridge tradition

Detalhes bibliográficos
Autor(a) principal: Martins, Nuno O.
Data de Publicação: 2012
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.3/2307
Resumo: Copyright © 2012 World Economics Association.
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spelling Mathematics, science and the Cambridge traditionMathematicsRealismOntologyCambridge TraditionNewtonianismCopyright © 2012 World Economics Association.In this paper the use of mathematics in economics will be discussed, by comparing two approaches to mathematics, a Cartesian approach, and a Newtonian approach. I will argue that while mainstream economics is underpinned by a Cartesian approach which led to a divorce between mathematics and reality, the contributions of key authors of the Cambridge tradition, like Marshall, Keynes and Sraffa, are characterised by a Newtonian approach to mathematics, where mathematics is aimed at a study of reality. Marshall was influenced by the Newtonian approach that still characterised many aspects of the Cambridge Mathematical Tripos, where the emphasis was on geometrical and mechanical examples rather than on symbolic (Cartesian) mathematics. Keynes, who criticised (Cartesian) symbolic mathematics, was indeed an admirer of Newton and of his method. Sraffa’s mathematical constructions are also in line with the Newtonian approach where arithmetic and geometry were strictly separated, since Sraffa’s mathematical constructions typically use arithmetic without engaging in the mixture between geometry and arithmetic that occurs in the Cartesian approach.World Economics AssociationRepositório da Universidade dos AçoresMartins, Nuno O.2013-10-14T12:14:09Z20122013-10-13T01:57:12Z2012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.3/2307engMartins, Nuno Miguel Ornelas (2012). "Mathematics, Science and the Cambridge Tradition", «Economic Thought», 1(2), 15-35.2049-3509 (Print)info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2022-12-20T14:30:06Zoai:repositorio.uac.pt:10400.3/2307Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:24:59.684321Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Mathematics, science and the Cambridge tradition
title Mathematics, science and the Cambridge tradition
spellingShingle Mathematics, science and the Cambridge tradition
Martins, Nuno O.
Mathematics
Realism
Ontology
Cambridge Tradition
Newtonianism
title_short Mathematics, science and the Cambridge tradition
title_full Mathematics, science and the Cambridge tradition
title_fullStr Mathematics, science and the Cambridge tradition
title_full_unstemmed Mathematics, science and the Cambridge tradition
title_sort Mathematics, science and the Cambridge tradition
author Martins, Nuno O.
author_facet Martins, Nuno O.
author_role author
dc.contributor.none.fl_str_mv Repositório da Universidade dos Açores
dc.contributor.author.fl_str_mv Martins, Nuno O.
dc.subject.por.fl_str_mv Mathematics
Realism
Ontology
Cambridge Tradition
Newtonianism
topic Mathematics
Realism
Ontology
Cambridge Tradition
Newtonianism
description Copyright © 2012 World Economics Association.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-01T00:00:00Z
2013-10-14T12:14:09Z
2013-10-13T01:57:12Z
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.3/2307
url http://hdl.handle.net/10400.3/2307
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Martins, Nuno Miguel Ornelas (2012). "Mathematics, Science and the Cambridge Tradition", «Economic Thought», 1(2), 15-35.
2049-3509 (Print)
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dc.publisher.none.fl_str_mv World Economics Association
publisher.none.fl_str_mv World Economics Association
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