Concept Formation and Concept Grounding

被引：0
作者：
Jörgen Sjögren
Christian Bennet
机构：
[1] University of Skövde,School of Engineering Science
[2] University of Gothenburg,Department of Pedagogical, Curricular and Professional Studies
来源：
Philosophia | 2014年 / 42卷
关键词：
Epistemology; Mathematics; Knowledge of theorems; The role of proof; Empiricism; Concept grounding; Concept formation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：827 / 839
页数：12
相关论文
共 9 条
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