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Concept Formation and Concept Grounding
University of Skövde, School of Engineering Science. University of Skövde, Health and Education. (Utbildningsvetenskap, Educational Science)
Department of Pedagogical, Curricular and Professional Studies, University of Gothenburg, Sweden.
2014 (English)In: Philosophia (Ramat Gan), ISSN 0048-3893, E-ISSN 1574-9274, Vol. 42, no 3, 827-839 p.Article in journal (Refereed) Published
Abstract [en]

Recently Carrie S. Jenkins formulated an epistemology of mathematics, or rather arithmetic, respecting apriorism, empiricism, and realism. Central is an idea of concept grounding. The adequacy of this idea has been questioned e.g. concerning the grounding of the mathematically central concept of set (or class), and of composite concepts. In this paper we present a view of concept formation in mathematics, based on ideas from Carnap, leading to modifications of Jenkins’s epistemology that may solve some problematic issues with her ideas. But we also present some further problems with her view, concerning the role of proof for mathematical knowledge.

Place, publisher, year, edition, pages
Springer Science+Business Media B.V., 2014. Vol. 42, no 3, 827-839 p.
Keyword [en]
Epistemology, Mathematics, Knowledge of theorems, The role of proof, Empiricism, Concept grounding, Concept formation
National Category
Other Mathematics
Research subject
Natural sciences
URN: urn:nbn:se:his:diva-9075DOI: 10.1007/s11406-014-9528-8ISI: 000342167800019ScopusID: 2-s2.0-84901729733OAI: oai:DiVA.org:his-9075DiVA: diva2:716760
Available from: 2014-05-12 Created: 2014-05-12 Last updated: 2015-08-25Bibliographically approved

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