Mathematics and Pragmatic Naturalism

Synthesis Philosophica 28 (1-2):263-270 (2013)
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Abstract

In this paper we shall concentrate on the issue of those ways of knowing in mathematics that have traditionally been taken to support apriorism. We shall do it by critizing pragmatic naturalism in the philosophy of mathematics, and in particular its historical approach in denying any role to apriority in mathematical epistemology. The version of pragmatic naturalism we shall be analyzing is Kitcher’s. In the paper we shall first set out a brief survey of the relevant features of Kitcher’s pragmatic naturalism in the philosophy of mathematics and then indicate the points that provoke our disagreement.U ovome radu ćemo se koncentrirati na pitanje onih načina spoznaje u matematici za koje se tradicionalno smatralo da podržavaju apriorizam. To ćemo učiniti kritizirajući pragmatički naturalizam u filozofiji matematike, posebice njegov povijesni pristup u negiranju ikakve uloge apriorizma u matematičkoj epistemologiji. Verzija pragmatičkog naturalizma koju ćemo razmatrati je Kitcherova. U radu ćemo prvo iznijeti sažeti pregled relevantnih obilježja Kitcherovog pragmatičkog naturalizma u filozofiji matematike te potom naznačiti točke koje izazivaju naše neslaganje.Dans cet article, nous nous concentrerons sur la question des modes de la connaissance en mathématiques qui ont traditionnellement été considérés comme soutenant l’apriorisme. Nous le ferons en critiquant le naturalisme pragmatique dans la philosophie des mathématiques, notamment son approche historique de la négation de tout rôle de l’apriorité dans l’épistémologie mathématique. La version du naturalisme pragmatique que nous analyserons est celle de Philip Kitcher. Dans l’article, nous présenterons d’abord un court examen des aspects pertinents du naturalisme pragmatique de Philip Kitcher dans la philosophie des mathématiques, puis indiquerons les points qui suscitent notre désaccord.Im vorliegenden Paper konzentrieren wir uns auf die Problematik jener Wege der Erkenntnis innerhalb der Mathematik, denen traditionell Unterstützung des Apriorismus beigemessen wird. Wir verwirklichen dies, indem wir den pragmatischen Naturalismus in der Philosophie der Mathematik kritisieren, namentlich dessen historische Herangehensweise bei der Verneinung jeglicher Rolle der Apriorität in der mathematischen Epistemologie. Die Version des pragmatischen Naturalismus, der wir auf den Grund gehen, ist die von Kitcher. In der Abhandlung machen wir erstens einen Streifzug durch die relevanten Wesenszüge von Kitchers pragmatischem Naturalismus in der Philosophie der Mathematik und geben anschließend Anhaltspunkte an, die unseren Dissens hervorrufen

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Majda Trobok
University of Ljubljana (PhD)

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