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Frontiers of Philosophy in China

ISSN 1673-3436

ISSN 1673-355X(Online)

CN 11-5743/B

Postal Subscription Code 80-983

Front Phil Chin    2012, Vol. 7 Issue (3) : 367-377    https://doi.org/10.3868/s030-001-012-0022-9
research-article
Second-Order Positive Comprehension and Frege’s Basic Law V
LIU Jingxian()
Department of Philosophy, Peking University, Beijing 100871, China
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Abstract

Richard Heck and John Burgess have shown that Frege’s Basic Law V is consistent with predicative comprehension and that the resulting theory interprets Robinson Arithmetic. There are also many other ways to keep Frege from being contradictory. This paper shows that Basic Law V is also consistent with positive comprehension and that the resulting theory also interprets Robinson Arithmetic. In addition, the theory of positive Frege provides a new understanding of Dummett’s “indefinitely extensible concepts.”

Keywords predicative comprehension      positive comprehension      Basic Law V     
Corresponding Author(s): LIU Jingxian,Email:liujingxian@gmail.com   
Issue Date: 05 September 2012
 Cite this article:   
LIU Jingxian. Second-Order Positive Comprehension and Frege’s Basic Law V[J]. Front Phil Chin, 2012, 7(3): 367-377.
 URL:  
https://academic.hep.com.cn/fpc/EN/10.3868/s030-001-012-0022-9
https://academic.hep.com.cn/fpc/EN/Y2012/V7/I3/367
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