By "proper name" I mean a proper name in Frege's sense, i.e., a singular term. The "problem" mentioned in the title is whether the subject-term of an existential statement can be a proper name. I concentrate on examining some of the existing attempts to define "proper name" and conclude that, whatever answer is given to the question just posed, the authors of these attempts (Dummett, C Wright and B Hale) will have to modify some of their beliefs. My own favored (...) solution is to say that it can, sometimes denoting a non-existent object. (shrink)

This book contains seminal discussions of central issues in the philosophy of language, mathematics, mind, religion and time. Is common language conceptually prior to idiolectics? What is a theory of meaning? Does constructivism provide a satisfactory account of mathematics? What are indefinitely extensible concepts? Can we change the past? These are only some of the very important questions addressed here. Both the papers written by the contributors and Dummett's replies provide a great wealth of stimulating ideas for those who currently (...) do research in the respective areas touched upon without making the reading exceedingly tedious. This feature, common to most of the papers in this book, makes it possible to use the material presented in undergraduate courses at university level. (shrink)