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Concept Formation a...
Concept Formation and Concept Grounding
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- Sjögren, Jörgen (author)
- Högskolan i Skövde,Institutionen för ingenjörsvetenskap,Forskningsspecialiseringen Hälsa och Lärande,Utbildningsvetenskap, Educational Science
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- Bennet, Christian, 1954 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för didaktik och pedagogisk profession,Department of Pedagogical, Curricular and Professional Studies,Department of Pedagogical, Curricular and Professional Studies, University of Gothenburg, Sweden
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(creator_code:org_t)
- 2014-05-01
- 2014
- English.
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In: Philosophia. - : Springer Science+Business Media B.V.. - 0048-3893 .- 1574-9274. ; 42:3, s. 827-839
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Annan matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Other Mathematics (hsv//eng)
- HUMANIORA -- Filosofi, etik och religion -- Filosofi (hsv//swe)
- HUMANITIES -- Philosophy, Ethics and Religion -- Philosophy (hsv//eng)
- SAMHÄLLSVETENSKAP -- Utbildningsvetenskap -- Didaktik (hsv//swe)
- SOCIAL SCIENCES -- Educational Sciences -- Didactics (hsv//eng)
Keyword
- Epistemology
- Mathematics
- Knowledge of theorems
- The role of proof
- Empiricism
- Concept grounding
- Concept formation
- Natural sciences
- Naturvetenskap
- Epistemology · Mathematics · Knowledge of theorems · The role of proof · Empiricism · Concept grounding · Concept formation
Publication and Content Type
- ref (subject category)
- art (subject category)
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