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Purifying applied mathematics and applying pure mathematics: how a late Wittgensteinian perspective sheds light onto the dichotomy

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dc.contributor.authorPérez Escobar, José Antonio
dc.contributor.authorSarikaya, Deniz
dc.contributor.orcidhttps://orcid.org/0000-0002-3728-6896
dc.contributor.orcidhttps://orcid.org/0000-0001-8951-8161
dc.date.accessioned2024-12-10T15:21:36Z
dc.date.available2024-12-10T15:21:36Z
dc.date.issued2021-12-23
dc.descriptionThe registered version of this article, first published in European Journal for Philosophy of Science, is available online at the publisher's website: Springer Nature, https://doi.org/10.1007/s13194-021-00435-9
dc.descriptionLa versión registrada de este artículo, publicado por primera vez en European Journal for Philosophy of Science, está disponible en línea en el sitio web del editor: Springer Nature, https://doi.org/10.1007/s13194-021-00435-9DOI
dc.description.abstractIn this work we argue that there is no strong demarcation between pure and applied mathematics. We show this first by stressing non-deductive components within pure mathematics, like axiomatization and theory-building in general. We also stress the “purer” components of applied mathematics, like the theory of the models that are concerned with practical purposes. We further show that some mathematical theories can be viewed through either a pure or applied lens. These different lenses are tied to different communities, which endorse different evaluative standards for theories. We evaluate the distinction between pure and applied mathematics from a late Wittgensteinian perspective. We note that the classical exegesis of the later Wittgenstein’s philosophy of mathematics, due to Maddy, leads to a clear-cut but misguided demarcation. We then turn our attention to a more niche interpretation of Wittgenstein by Dawson, which captures aspects of the aforementioned distinction more accurately. Building on this newer, maverick interpretation of the later Wittgenstein’s philosophy of mathematics, and endorsing an extended notion of meaning as use which includes social, mundane uses, we elaborate a fuzzy, but more realistic, demarcation. This demarcation, relying on family resemblance, is based on how direct and intended technical applications are, the kind of evaluative standards featured, and the range of rhetorical purposes at stake.en
dc.description.versionversión publicada
dc.identifier.citationPérez-Escobar, J.A., Sarikaya, D. Purifying applied mathematics and applying pure mathematics: how a late Wittgensteinian perspective sheds light onto the dichotomy. Euro Jnl Phil Sci 12, 1 (2022). https://doi.org/10.1007/s13194-021-00435-9
dc.identifier.doihttps://doi.org/10.1007/s13194-021-00435-9
dc.identifier.issn1879-4920
dc.identifier.urihttps://hdl.handle.net/20.500.14468/24794
dc.journal.titleEuropean Journal for Philosophy of Science
dc.journal.volume12
dc.language.isoen
dc.publisherSpringer Nature
dc.relation.centerFacultades y escuelas::Facultad de Filosofía
dc.relation.departmentLógica, Historia y Filosofía de la Ciencia
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.es
dc.subject11 Lógica
dc.subject72 Filosofía::7205 Filosofía de la Ciencia
dc.subject.keywordslater Wittgensteinen
dc.subject.keywordstheory choiceen
dc.subject.keywordsmeaning as useen
dc.subject.keywordsmeaning of mathematicsen
dc.subject.keywordsembodied mathematicsen
dc.subject.keywordsphilosophy of applied mathematicsen
dc.subject.keywordsphilosophy of mathematicsen
dc.titlePurifying applied mathematics and applying pure mathematics: how a late Wittgensteinian perspective sheds light onto the dichotomyen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
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