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Second-Order Positive Comprehension and Frege's Basic Law V

LiuJingxian

2012Acta Scientiarum Naturalium Universitatis SunyatseniPsychology被引 1

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摘要

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."

引用本文(GB/T 7714)

Liu, Jingxian. Second-Order Positive Comprehension and Frege's Basic Law V[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2012.

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