Among the philosophical accounts of reference, Quine’s The Roots of Reference stands out in offering an integrated account of the acquisition of linguistic reference and object individuation. Based on a non-referential ability to distinguish bodies, the acquisition of sortals and quantification are crucial steps in learning to refer to objects. In this article, we critically re-assess Quine’s account of reference. Our critique will proceed in three steps with the aim of showing that Quine effectively presupposes what he sets out to (...) explain, namely, reference to objects. We are going to argue that sortals do not individuate, that bodies are already objects, and that the acquisition of variables presupposes a notion of identity. The result is diagnostic of a central desideratum for any theory of reference: an explanation of spatiotemporal object individuation. (shrink)

We propose a new intensional semantics for modal-tense second-order languages with sortal predicates. The semantics provides a variable-domain interpretation of the second-order quantifiers. A formal logical system is characterized and proved to be sound and complete with respect to the semantics. A contemporary variant of conceptualism as a theory of universals is the philosophical background of the semantics. Justification for the variable-domain interpretation of the second-order quantifiers presupposes such a conceptualist framework.

Within Linguistics the semantic analysis of natural languages (English, Swahili, for example) has drawn extensively on semantical concepts first formulated and studied within classical logic, principally first order logic. Nowhere has this contribution been more substantive than in the domain of quantification and variable binding. As studies of these notions in natural language have developed they have taken on a life of their own, resulting in refinements and generalizations of the classical quantifiers as well as the discovery of new (...) types of quantification which exceed the expressive capacity of the classical quantifiers. We refer the reader to Keenan and Westerståhl (1997) for an overview of results in this area. Here, we focus on one property of quantification in natural language—its inherently sortal nature—which distinguishes it from quantification in classical logic. (shrink)

We begin with an introductory overview of contributions made by more than twenty scholars associated with the Philosophy Department at the University of Buffalo during the last half-century to our understanding and evaluation of Aristotle's logic. More well-known developments are merely mentioned in..

Variables are among the most ubiquitous of technical expressions in scientific discourse. But what exactly do they express, and of what relevance are they to ontology? Since variables are analogous to pronouns and descriptive phrases in certain nonreferential occurrences, an answer to these questions can be sought in the semantics of these expressions. I offer an intentional account wherein variables and their natural language counterparts are understood wholly in terms of the sortal content they express.

Identities formed with proper names may be contingent. this claim is made first through an example. the paper then develops a theory of the semantics of concrete things, with contingent identity as a consequence. this general theory lets concrete things be made up canonically from fundamental physical entities. it includes theories of proper names, variables, cross-world identity with respect to a sortal, and modal and dispositional properties. the theory, it is argued, is coherent and superior to its rivals, in (...) that it stems naturally from a systematic picture of the physical world. (shrink)

Theories of relations between language and conceptual development benefit from empirical evidence for concepts available in infancy, but such evidence is comparatively scarce. Here, we examine early representations of specific concepts, namely, sets of dynamic events corresponding either to predicates involving two variables with a reversible, asymmetric relation between them (such as the set of all events that correspond to a linguistic phrase like “a dog is pushing a car,”) or to comparatively simpler, one-variable predicates (such as the set (...) of events corresponding to a phrase like “a dog is jumping.”). We develop a non-linguistic, anticipatory eye-tracking task that can be administered to both infants and adults, and we use this task to gather evidence for the formation and use of such one-and two-place-predicate classes (which we refer to as event sortals) in 12–24-mo-old infants, and in adults with and without concurrent verbal prose shadowing. Using visually similar stimuli for both the simpler (one-place) and the more complex (reversible, asymmetric, two-place) concepts, we find that infants only show evidence for forming and generalizing one-place event sortals, and, while adults succeed with both kinds in the absence of verbal shadowing, shadowing hampers their ability to form and use the asymmetric two-place event sortals. In a subsequent experiment with adults, we find that if the shadowing material is grammatically impoverished, adults now succeed in forming and using both one- and two-place event sortals. We discuss implications of these results for theories of concept acquisition, and the role of language in this process. (shrink)

Anil Gupta's slightly revised 1977 Pittsburgh doctoral dissertation is not a linguistic investigation of common nouns. There is no thorough attempt to organize and explain data about common nouns in natural languages. Gupta's goal is to develop and to defend formal modal languages and logics useful for the representation and defense of metaphysical theses on topics such as the structure of individuals, sorts or kinds, substances, and essences. He does, however, develop the special features of his formal syntax and semantics (...) on the basis of two theses about common nouns in our natural languages. Geach's work suggests the first thesis that properly expressed identity statements are of the form: b is the same K as c, where K is a common noun. Because the individual variables bound by quantifiers must be capable of being terms of an identity relation, this first thesis leads Gupta to require quantifiers to link individual variables with common noun expressions. Thus in his formal languages we can only express: "every K is _____" or "some K is _____" where K is syntactically part of the quantifier. We can call this "sortal quantification." Hence, "Every K is P" and "Some K is P" are not even expressible as "If anything is K then it is P" or "Something is K and P," let alone equivalent to such ill-formed expressions in his languages. Gupta's book is a useful introduction to the syntax and semantics for languages with this non-standard sortal quantification for those already familiar with the syntax and formal semantics of first order extensional and modal languages with standard quantifiers. Those unfamiliar with standard formal languages and model structure semantics will find Gupta's provocative metaphysical theories and conjectures inaccessible. (shrink)

Sortal predicates have been associated with a counting process, which acts as a criterion of identity for the individuals they correctly apply to. We discuss in what sense certain types of predicates suggested by quantum physics deserve the title of ‘sortal’ as well, although they do not characterize either a process of counting or a criterion of identity for the entities that fall under them. We call such predicates ‘quantum-sortal predicates’ and, instead of a process of counting, (...) to them is associated a ‘criterion of cardinality’. After their general characterization, it is discussed how these predicates can be formally described. (shrink)

Advocates of sortal essentialism have argued that concepts like “thing” or “object” lack the unambiguous individuative criteria necessary to play the role of genuine sortals in reference. Instead, they function as “dummy sortals” which are placeholders or incomplete designations. In disqualifying apparent placeholder sortals, however, these philosophers have posed insuperable problems for accounts of childhood conceptual development. I argue that recent evidence in psychology demonstrates that children do possess simple or basic sortals of physical objects or things. I contend (...) that these concepts provide the genuine individuative criteria necessary for reference. As a consequence, sortalism can be made compatible with the developmental facts of conceptual development. (shrink)

: ‘Sortalism about demonstrative reference’ is the view that the capacity to refer to things demonstratively rests on the capacity to classify them according to their kinds. This paper argues for one form of sortalism. Section 1 distinguishes two sortalist views. Section 2 argues that one of them is false. Section 3 argues that the other is true. Section 4 uses the argument from Section 3 to develop a new response to the objection to sortalism from examples where we seem (...) to succeed in referring even though we get sortal classification wrong, or do not attempt to classify at all. (shrink)

Sortal predicates have been associated with a counting process, which acts as a criterion of identity for the individuals they correctly apply to. We discuss in what sense certain types of predicates suggested by quantum physics deserve the title of 'sortal' as well, although they do not characterize either a process of counting or a criterion of identity for the entities that fall under them. We call such predicates 'quantum-sortal predicates' and, instead of a process of counting, (...) to them is associated a 'criterion of cardinality'. After their general characterization, it is discussed how these predicates can be formally described. (shrink)

In a recent article, Harold Noonan argues that application conditions and criteria of identity are not distinct from one another. This seems to threaten the standard approach to distinguishing sortals from adjectival terms. I propose that his observation, while correct, does not have this consequence. I present a simple scheme for distinguishing sortals from adjectival terms. I also propose an amended version of the standard canonical form of criteria of identity.

Is it possible to characterize the sortal essence of Fs for a sortal concept F solely in terms of a criterion of identity C for F? That is, can the question ‘What sort of thing are Fs?’ be answered by saying that Fs are essentially those things whose identity can be assessed in terms of C? This paper presents a case study supporting a negative answer to these questions by critically examining the neo-Fregean suggestion that cardinal numbers can (...) be fully characterized as those things whose identity can be assessed in terms of one-one correspondence between concepts. (shrink)

Spatiotemporal and qualitative continuity are not sufficient to trace the career or path of one and the same object through its history. One needs sortal continuity, guaranteed by the form-token of the object. In this paper I concentrate on the question of sortal continuity linked to the problem of the cohabitation of objects. I intend to test whether it is possible to stick to the belief in continuants or endurers as well as the sortal dependence of identity (...) and at the same time avoid an undesirable multiplication of spatially coinciding objects, i.e., avoid the thesis of cohabitation. I abandon the philosophical view – this is the price to be paid – that the set of the material constituents making up an object is an object proper. The basic units of reality are the objects falling under sortals and not the ultimate components thereof. That a determinate piece of copper is not identical with the statue made from it, therefore, does not imply that we have a cohabitation of two numerically different objects. (shrink)

It has long been debated whether objects are ‘sortally’ individuated. This paper begins by clarifying some of the key terms in play—in particular, ‘sortal’, ‘individuation’, and ‘object’. The term ‘individuation’ is taken to have both a cognitive and a metaphysical sense, in the former denoting the singling out of an object in thought and in the latter a determination relation between entities. ‘Sortalism’ is defined as the doctrine that only as falling under some specific sortal concept can an (...) object be successfully singled out in thought. It is argued that such a view is too strong, but that a weaker one, ‘categorialism’, can be defended, this implying that a thinker cannot successfully single out an object in thought without having at least an implicit grasp of the criterion of identity that the object satisfies. (shrink)

Contemporary metaphysics is dominated by the view that every object belongs to a kind permanently in the sense that it cannot cease to belong to that kind without thereby ceasing to exist. For example, some philosophers think that a person is destroyed if they cease to be a person, a statue is destroyed if it ceases to be a statue, and so on. I believe that this standard view is false. Being a person, or a statue, or etc., is like (...) being a child: just as I did not cease to exist when I ceased to be a child, so people and statues need not cease to exist when they cease to be people and statues. Borrowing a term from Daniel Korman (who uses it in a similar but perhaps not identical way), I call this view phasalism because it entails that the kind-properties which ordinary objects instantiate are phase sortal properties, i.e., kind-properties that an object can instantiate for a temporary phase of its career. This dissertation is a partial defense of phasalism. I develop a phasalist metaphysics in detail, highlighting its virtues and rebutting objections along the way. After some stage-setting (Chapter 1), I defend a phasalist criterion of identity over time for ordinary objects (Chapter 2), as well as a phasalist account of the role that sortal properties play in the identity over time of ordinary objects (Chapter 3). Then I defend a phasalist-friendly approach to the identity over time of lumps, hunks, pieces, etc. of matter (Chapter 4). The material in these chapters amounts to a phasalist solution to certain material coincidence puzzles, such as the puzzle of the statue and the piece of clay. I go on to show that familiar puzzles about undetached parts (Chapter 5) and fission (Chapter 6) can be solved within the confines of my phasalist metaphysics as well. (shrink)

The paper discusses sortal essentialism': the view that some sortal concepts represent essential properties of the things that fall under them. Although sortal essentialism is widely accepted, there is a dearth of theories purporting to explain why some sortals should have this characteristic. The paper examines two theories that do attempt this explanatory task, theories proposed by Baruch Brody and David Wiggins. It is argued that Brody's theory rests on an untenable principle about "de re" modality, while (...) Wiggins' theory appeals to a thesis about principles of individuation that is either unjustified, or vacuous and incapable of supporting sortal essentialism. (shrink)

In recent decades, a view of identity I call Sortalism has gained popularity. According to this view, if a is identical to b, then there is some sortal S such that a is the same S as b. Sortalism has typically been discussed with respect to the identity of objects. I argue that the motivations for Sortalism about object-identity apply equally well to event-identity. But Sortalism about event-identity poses a serious threat to the view that mental events are token (...) identical to physical events: A particular mental event m is identical with a particular physical event p only if there is a sortal S such that m and p are both Ss. If there is no such sortal, the doctrine of token-identity is not true. I argue here that we have no good reason for thinking that there is any such sortal. (shrink)

The problem of the subject-predicte distinction has featured centrally in much of modern philosophy of language and philosophical logic. and the distinction is taken as basic or fundamental in modern philosophical logic. A sortal is a symbol which furnishes a principle of distinction and counting in its own right for particulars (objects).This book explores sortals and their relationship to the subject-predicate distinction; arguing that the nature of sortal symbols has been misconstrued in much modern writing in the philosophy (...) of logic by failing to clearly distinguish sortals from names and predicates; contending that this misconstruction has led to a failure to appreciate what makes the subject-predicate distinction possible; demonstrating logical difficulties which then follow; and expounding an account of sortal symbols which seeks to be immune from the difficulties. Exploring and challenging aspects of the work of Frege, Russell, Geach, Quine, Evans and Strawson, amongst others, Durrant also provides a new challenge to certain popular presuppositions employed in many areas of contemporary philosophical debate, and offers important insights for those studying across philosophical logic, philosophy of language, and metaphysics and epistemology, in particular. (shrink)

It seems intuitive that in situations of perceptual recognition additional properties are represented. While much has been written about the significance of such properties for perceptual phenomenology, it is still unclear (a) what is the relation between recognition-based properties and lower-level perceptual properties, and (b) whether it is justified to classify them as kind-properties. Relying on results in cognitive psychology, I argue that recognition-based properties (I) are irreducible, high-level properties, (II) are kind properties by virtue of being sortal properties, (...) but (III) they supervene on lower-level properties and so are unlikely to be natural kind properties. (shrink)

This article offers a novel, conservative account of material constitution, one that incorporates sortal essentialism and features a theory of dominant sortals. It avoids coinciding objects, temporal parts, relativizations of identity, mereological essentialism, anti-essentialism, denials of the reality of the objects of our ordinary ontology, and other departures from the metaphysic implicit in ordinary ways of thinking. Defenses of the account against important objections are found in Burke 1997, 2003, and 2004, as well as in the often neglected six (...) paragraphs that conclude section V of this article. (shrink)

Consideration of the counting and reidentification of particulars leads naturally enough to the orthodox doctrine that, “on pain of indefiniteness,” an identity statement in some way involves or presupposes a general term or “covering concept”: i.e., that the principium individuationis or criterion of identity implied depends upon the kind of thing in question. Thus it is said that an auditor understands the question whether A is the same as B only in so far as he knows, however informally or implicitly, (...) the answer to the supplementary question, “The same what?”. (shrink)

Recent work in natural language semantics leads to some new observations on generalized quantifiers. In § 1 we show that English quantifiers of type $ $ are booleanly generated by their generalized universal and generalized existential members. These two classes also constitute the sortally reducible members of this type. Section 2 presents our main result--the Generalized Prefix Theorem (GPT). This theorem characterizes the conditions under which formulas of the form Q1x 1⋯ Qnx nRx 1⋯ xn and q1x 1⋯ qnx nRx (...) 1⋯ xn are logically equivalent for arbitrary generalized quantifiers Qi, qi. GPT generalizes, perhaps in an unexpectedly strong form, the Linear Prefix Theorem (appropriately modified) of Keisler & Walkoe (1973). (shrink)

A wealth of literature has been devoted to the problem of developing an adequate semantic analysis of sortally incorrect statements. The motivation is clear, albeit controversial: sortally incorrect statements appear to exhibit an unusual behavior when coupled with other statements in logically complex statements. For instance, two senses of negation are distinguishable when the operation is applied to sortally incorrect statements. In this paper, I shall reopen the question of the "correct" semantic analysis of sortally incorrect statements.

Many philosophers believe that the criteria of identity over time for ordinary objects entail that such objects are permanent members of certain sortal kinds. The sortal kinds in question have come to be known as substance sortal kinds. But in this article, I defend a criterion of identity that is suited to phasalism, the view that alleged substance sortals are in fact phase sortals. The criterion I defend is a sortal‐weighted version of a change‐minimizing criterion first (...) discussed by Eli Hirsch. I present this criterion and then argue that it withstands attempts to show that it is inferior to non‐phasalist rivals. (shrink)