A very interesting account of the reference of number words in classical Indian philosophy was given by Mahesa Chandra (1836 -1906) in his Brief Notes on the Modern Nyaya System of Philosophy and its Technical Terms (...
Bob Hale is a philosopher,who has been devoting himself to modality and metaphysics.His research as British Academy Reader was mainly in the philosophy of mathematics.With and during long collaboration with Crispin Wr...
supported by National Social Science Fund(15CZX035)
There have been generally two approaches to solve Gongsun Long's horse paradox:one is abstract,and the other is concrete.But neither ways are satisfying.Inspired by Frege's horse paradox,this paper proposes a new solu...
This paper aims to examine the general issue of how reference is possible in philosophy of language through a case analysis of the "double reference" semantic-syntactic structure of ideographic hexagram (guaxiang ...
Russell's letter to Frege of June 16, 1902 contains the famous paradox of the class of all classes which are not members of themselves as well as a second paradox of the predicates that cannot be predicated of themse...
One of the remarkable results of Frege's Logicism is Frege's Theorem, which holds that one can derive the main truths of Peano arithmetic from Hume's Principle (HP) without using Frege's Basic Law V. This result...
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 Freg...
This paper compares Frege's philosophy of mathematics with a naturalistic and nominalistic philosophy of mathematics developed in Ye (2010a, 2010b, 2010c, 2011), and it defends the latter against the former. The pa...
Semantic relationism is a methodology proposed by Kit Fine for solving the antinomy of variables. Fine proposed the relational semantics for first-order logic, which can be used to solve Frege's puzzle of names. In t...