Concept Grounding and Knowledge of Set Theory

被引:3
|
作者
Roland, Jeffrey W. [1 ]
机构
[1] Louisiana State Univ, Dept Philosophy, Baton Rouge, LA 70803 USA
关键词
Epistemology; Mathematics; Arithmetic; Set theory; Concepts;
D O I
10.1007/s11406-009-9186-4
中图分类号
B [哲学、宗教];
学科分类号
01 ; 0101 ;
摘要
C. S. Jenkins has recently proposed an account of arithmetical knowledge designed to be realist, empiricist, and apriorist: realist in that what's the case in arithmetic doesn't rely on us being any particular way; empiricist in that arithmetic knowledge crucially depends on the senses; and apriorist in that it accommodates the time-honored judgment that there is something special about arithmetical knowledge, something we have historically labeled with 'a priori'. I'm here concerned with the prospects for extending Jenkins's account beyond arithmetic-in particular, to set theory. After setting out the central elements of Jenkins's account and entertaining challenges to extending it to set theory, I conclude that a satisfactory such extension is unlikely.
引用
收藏
页码:179 / 193
页数:15
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