凯撒难题的新弗雷格主义求解

Neo-Fregean Solutions to Caesar Problem

基于抽象原则与类包含原则,黑尔、莱特等新弗雷格主义者为凯撒难题给出了范畴求解方案。但其对范畴或范畴类的划分一方面排除了不同类对象之间可能具有的同一性,另一方面不能提供如何将不同对象落入不同范畴的应用标准。为此,佩德森提出基于类上等价关系的无范畴修正方案。而其对"等价类"的划分、S=标准的合法性以及同一性的统一标准实质上仍依赖对范畴类的预设,因此面临与黑尔、莱特相同的困境。在这个意义上,新弗雷格主义者为逻辑主义辩护的预期并未达成。

Based on abstract principle and sortal inclusion principle,Neo-Fregean represented by Bob Hale and Crispin Wright,provides a solution to Caesar problem.To divide categories or categorical sortals,however,on the one hand excludes the possibility that objects fall under different categories might share the same identity,on the other hand it does not provide the application standard of how different objects fall under different categories.To solve the above problems,Nikolaj Jang Pedersen proposed a no-category solution based on equivalence relation on sortals,but his division of‘equivalence＇,the legitimacy of the S=standard as well as the identity of the uniform standard still essentially depend on the presupposition of category,therefore Pedersen is in the same boat as Hale and Wright.In this sense,Neo-Fregeans＇ expectations of defending logicism have not been reached.