The aim of this paper is to make the case for the obstinacy thesis. This is the thesis that proper names like ‘Hitler’, demonstratives like ‘this’, pure indexicals like ‘I’, and natural kind terms like ‘water’ and ‘gold’, are obstinately rigid terms. An obstinately rigid term is one that refers to the object that is its actual referent with respect to every possible world (hence, a fortiori, even with respect to worlds where that object does not exist). This form of (...) rigidity is stronger than the usual Kripkean one and has been notoriously explored by David Kaplan (Kaplan 1989a: 492-3; Kaplan 1989b: 569-71). Yet, the obstinacy thesis seems implausible to many philosophers and is worth substantive argument. For convenience, we focus our attention on proper names; but most of our remarks could be easily generalized to other unstructured singular terms. We shall take for granted Saul Kripke’s semantical doctrine that proper names are rigid in the general sense of the term and argue that their rigidity should take the specific form of obstinacy rather than persistence. (shrink)

By a `denoting phrase' I mean a phrase such as any one of the following: a man, some man, any man, every man, all men, the present King of England, the present King of France, the center of mass of the solar system at the first instant of the twentieth century, the revolution of the earth round the sun, the revolution of the sun round the earth. Thus a phrase is denoting solely in virtue of its form. We may distinguish (...) three cases: (1) A phrase may be denoting, and yet not denote anything; e.g., `the present King of France'. (2) A phrase may denote one definite object; e.g., `the present King of England' denotes a certain man. (3) A phrase may denote ambiguously; e.g. `a man' denotes not many men, but an ambiguous man. The interpretation of such phrases is a matter of considerably difficulty; indeed, it is very hard to frame any theory not susceptible of formal refutation. All the difficulties with which I am acquainted are met, so far as I can discover, by the theory which I am about to explain. (shrink)

In this book Terence Parsons revives the older tradition of taking such objects at face value. Using various modern techniques from logic and the philosophy of language, he formulates a metaphysical theory of nonexistent objects. The theory is given a formalization in symbolism rich enough to contain definite descriptions, modal operators, and epistemic contexts, and the book includes a discussion which relates the formalized theory explicitly to English.