‘A logical theory may be tested by its capacity for dealing with puzzles, and it is a wholesome plan, in thinking about logic, to stock the mind with as many puzzles as possible, since these serve much the same purpose as is served by experiments in physical science.’ This paper is an attempt to follow Russell’s advice by using a puzzle about the contingent a priori to test and explore certain theories of reference and modality. No one could claim that (...) the puzzle is of any great philosophical importance by itself, but to understand it, one has to get clear about certain aspects of the theory of reference; and to solve it, one has to think a little more deeply than one is perhaps accustomed about what it means to say that a statement is contingent or necessary. (shrink)

This chapter aims to resolve some of Nathan Salmon's puzzlement by clarifying the relationship between theses and questions about reference and theses and questions about necessity and possibility. It argues that while Saul Kripke defends metaphysical theses about the descriptive semantics of names, the way the reference relation is determined, and the capacities and dispositions of human beings and physical objects, his most important philosophical accomplishment is in the way he posed and clarified the questions, and not in the particular (...) answers that he gave to them. In response to the question about the capacities and potentialities of the things that peoples commonly refer to with names, Kripke defends the thesis that it makes sense to talk about the logical potential of an individual thing independently of how it is referred to, and that this potential is greater in certain ways, and less great in others, than some philosophers have supposed. (shrink)

Joseph LaPorte in an article on `Kind and Rigidity'(Philosophical Studies, Volume 97) resurrects an oldsolution to the problem of how to understand the rigidityof kind terms and other general terms. Despite LaPorte'sarguments to the contrary, his solution trivializes thenotion of rigidity when applied to general terms. Hisarguments do lead to an important insight however. Thenotions of rigidity and non-rigidity do not usefullyapply at all to kind or other general terms. Extendingthe notion of rigidity from singular terms such as propernames to (...) general terms such as natural kind terms is amistake. (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 paper I examine two ways of defining the rigidity of general terms. First I discuss the view that rigid general terms express essential properties. I argue that the view is ultimately unsatisfactory, although not on the basis of the standard objections raised against it. I then discuss the characterisation in terms of sameness of designation in every possible world. I defend that view from two objections but I argue that the approach, although basically right, should be interpreted cautiously.

The phenomenon of rigid designation - in particular, de jure rigidity - is typically treated metaphysically. The picture is: reference is gained in a way that puts no constraints on what an object in other worlds, or counterfactual situations must be like, in order to be the referent of that term, other than 'being this thing'. This allows 'pure metaphysical' investigation into, and discovery of 'the nature' of the referent. It is argued that this presupposes a 'privileged' ontology, of a (...) sort that is far from obvious. An alternative picture of rigidity is sketched, terms have associated criteria of identity and criteria of application for counterfactual situations. A term is rigid when these coincide. Aside from being a better account of rigidity, it also undermines the picture of rigid terms allowing us to 'metaphysically' investigate the nature of the referent: matters of identity and essence for the referent are settled by these semantic constraints (though it can be done in a way that allows are a posteriori necessities). (shrink)

According to Scott Soames’ Beyond Rigidity, there are two important pieces of unfinished business left over from Saul Kripke’s influential Naming and Necessity. Soames reads Kripke’s arguments about names as primarily negative, that is, as proving that names don’t have a meaning expressible by definite descriptions or clusters of them. The famous Kripkean doctrine that names are rigid designators is really only part of the negative case. The thesis that names refer to the same object with respect to every possible (...) world is a byproduct of their meaning, not a positive account of what they mean. As well, the hints about causal chains and dubbings are no more than a picture, as Kripke says, and not a positive theory of meaning. Thus one piece of unfinished business, to which Soames devotes the most attention, is to give a positive account of the meanings of names. To do this Soames proposes that the meaning of a singular term is the contribution it makes to the semantic content of the sentences in which it occurs. The semantic content of a sentence is ordinarily a proposition, that proposition expressed by the most commonly intended assertion using the sentence. Soames’ proposal for a positive account is that the meaning of a proper name is its contribution to those propositions, simply the object to which it refers. Arguing for this positive account occupies the bulk of the book but I will not discuss it in my contribution to this symposium. (shrink)

Kripke defines a rigid designator as one that designates the same object in every possible world in which that object exists. He argues that proper names are rigid. So also, he claims, are various natural kind terms. But we wonder how they could be. These terms are general and it is not obvious that they designate at all. It has been proposed that these kind terms rigidly designate abstract objects. This proposal has been criticized because all terms then seem to (...) come out rigid, thus trivializing rigidity. The paper starts with further criticisms of this proposal aimed particularly at a recent version given by LaPorte. The paper goes on to develop and defend an alternative proposal presented briefly in Devitt and Sterelny (1999): instead of taking those natural kind terms to rigidly designate an object we take them to rigidly apply to the members of their extensions. Schwartz has rightly insisted that a notion of rigidity must do some theoretical work if it is to be interesting. The paper argues that rigid application for kind terms does the same primary work as rigid designation for singular terms, the work of refuting description theories of some terms; and it does the same secondary work, of explaining certain modal phenomena (with one exception). (shrink)

Is there a theoretically interesting notion that is a natural extension of the concept of rigidity to general terms? Such a notion ought to satisfy two Kripkean conditions. First, it must apply to typical general terms for natural kinds, stuffs, and phenomena, and fail to apply to most other general terms. Second, true 'identification sentences' (such as 'Cats are animals') containing general terms that the notion applies to must be necessary. I explore a natural extension of the notion of rigidity (...) to general terms, the notion of an essentialist predicate. I argue that, under natural assumptions, this notion satisfies the two Kripkean conditions. (shrink)