The general hypothesis underlying this work is that mereology (the study of the relations between an entity and its parts) and topology (understood as the study of the qualitative relations of connection and compactness) may jointly constitute adequate grounds for the formal-ontological analysis of the world of ordinary experience. The analysis focuses on certain minimal (structural) principles on the basis of which different philosophical theories may be erected.

An identity statement flanked on both sides with proper names is necessarily true, Saul Kripke thinks, if it's true at all. Thus, contrary to the received view – or at least what was, prior to Kripke, the received view – a statement like(A) Hesperus is Phosphorus.

I offer an understanding of what it is for a term to be rigid which makes no serious metaphysical commitments to or about identity across possible worlds. What makes a term rigid is not that it 'refers to the same object(property) with respect to all worlds' - rather (roughly) it is that the criteria of application for the term with respect to other worlds, when combined with the criteria of identity associated with the term, ensure that whatever meets the criteria (...) of identity also meets the criteria of application and vice versa - in the simplest case, the criteria of application just are the criteria of identity - but things can be more complex to allow for the necessary a posteriori. This makes rigidity a non-metaphysically loaded semantic matters, and allows us to see that the phenomenon of and involving rigidity - especially the necessary a posteriori - are of no metaphysical significance on their own. (shrink)

David Lewis’s counterpart-theoretic semantics for quantified modal logic is motivated originally by worries about identifying objects across possible worlds; the counterpart relation is grounded more cautiously on comparative similarity. The possibility of contingent identity is an unsought -- and in some eyes, unwelcome -- consequence of this approach. In this paper I motivate a Kripkean counterpart theory by way of defending the prior, pre-theoretical, coherence of contingent directness. Contingent identity follows for free. The theory is Kripkean in that the counterpart (...) relation is in a sense stipulated rather than grounded on similarity, and is such that no object has more than one counterpart at a world. This avoids a number of objections Fara and Williamson have recently levelled against counterpart theory generally; their other objections are addressed by enriching the theory with special quantifiers and actuality operators. (shrink)

Whether or not the particular view of generic sentences articulated above is correct, it is quite clear that the study of generic terms and the truth-conditions of generic sentences touches on the representation of other parts of the grammar, as well as on how the world around us is reflected in language. I would hope that the problems mentioned above will highlight the relevance of semantic analysis to other apparently distinct questions, and focus attention on the relevance of linguistic problems (...) to other already established areas of inquiry. (shrink)

It is widely held that if an object a is identical (or non-identical) to an object b, then it is necessary that a is identical (non-identical) to b. This view is supported an argument from Leibniz's Law and a popular conception of de re modality. On the other hand, there are good reasons to allow for contingent identity. Various alternative accounts of de re modality have been developed to achieve this kind of generality, and to explain what is wrong with (...) the argument from Leibniz's Law. (shrink)

David Lewis proposed to deal with the semantics of sentences that state what is possible for an individual in terms of possible individuals that are in ways the first individual might have been, so called counterparts of the individual. In this book, I defend counterpart semantics as an approach to the semantics of modality and natural language semantics in particular. Counterpart semantics has a rival, the standard Kripkean semantics that deals with the same sentences in terms of an accessibility relation (...) between possible worlds. While counterpart semantics appears to be more flexible and carries less metaphysical presuppositions (it does not presuppose that I myself exist in various possible worlds, e.g.), Kripkean semantics has some advantages of its own. Most importantly, it incorporates the core assumptions of what may be called standard possible-worlds semantics; i.e. the core assumptions of the most successful framework within linguistic semantics. Counterpart semantics, on the other hand, does not conform to these assumptions, or so I will argue. In this book I opt for a synthesis of these two approaches that allows to combine their advantages. In Chap.1 I introduce the basic idea of counterpart semantics. I defend counterparts against the charge, made by Kripke, that counterparts are irrelevant for the analysis of modality. In Chap. 2 I present the classical version of counterpart semantics, i.e. David Lewis's translation of the language of quantified modal logic into counterpart theory. I discuss some well-known problems and opt for a revision of that translation that is able to solve the problems. Lewis's translation indirectly defines semantical values for expressions of quantified modal logic. In Chap.3 I evaluate counterpart semantics with respect to basic features of possible-worlds semantics. I conclude that the semantical values indirectly assigned to sentences by Lewis's translation are not sets of possible worlds, and that they do not meet certain intuitive demands on notions of meaning and content. (The revisions proposed in Chap.2 do not change this.) In Chap.4 I discuss various versions of a combination of counterpart semantics with Kripkean semantics found in the literature. But I conclude that here, the benefits of the latter are achieved by forfeiting the advantages of the former. Chap.5 finally contains my own proposal how to combine the two approaches in a more satisfactory way. The core semantical notion is truth according to a maximal complete representation, where representations now play the role of worlds. It is an important feature of the counterpart relation that it is qualitative, i.e. a relation in which things stand in virtue how they are. In Chap.1 I point out why it is qualitative, and why it ought to be. In Chap.6 I show how to make the notion of a qualitative property or relation precise. Finally, in Chap.7 I show how to extend this and related notions to predicates and propositions. For counterpart semantics to work at all we have to assume that everything that can be said at all can in principle be expressed in a language with qualitative predicates only (and perhaps, additionally, names, treated directly referentially). In Chap.7 I show how this assumption allows to maintain that the representations of our semantics deserve their name. (shrink)

Regarding the identity of artifacts in time, four positions may be discerned: first, the view reducing the continuing identity of an object to the continuing identity of its parts; second, the more generally accepted position that spatiotemporal continuity under a kind is necessary; third, the claim that while continuity is not a necessary condition, the sameness of parts and the sameness of form are sufficient together; and fourth, the suggestion that continuity of form is a sufficient and non-defeasible condition for (...) reidentifying artifacts. Others such as Scaltsas believe that the different conditions claimed to be sufficient by the views mentioned are, in fact, only criteria of identity applicable in different circumstances, and that no sharply defined hierarchy can be said to hold between them. (shrink)

Many philosophers have claimed possible worlds semantics is incoherent because of insoluble problems involved in the notion of identifying a single individual in different worlds. One frequent approach to trans-world identification has been to assume that all the possible worlds, complete with their populations, are described by means of qualities alone prior to our considering the question of identification of the same individual in each world in which it exists. If we interpret possible worlds semantics in this way, trans-world identification (...) could only be accomplished on the basis of some properties the individual has uniquely in every world in which it exists. This becomes problematic since the individual doesn't have the same properties in every world. In ‘Naming and Necessity’ and ‘Identity and Necessity’ Saul Kripke rejects such an account of both possible worlds and trans-world identification, developing an alternative interpretation of the new semantics. His approach involves a distinction between referring expressions which designate different individuals in different worlds according to the distribution of properties within each world and referring expressions which designate the same individual in every world. (shrink)