While Continental philosophers have had much to say about the nature of politics and about modern political institutions, they do not consider their task to provide the basis for evaluating policies or justifying institutions. Even if analytic philosophers no longer think of themselves as giving conceptual analyses of key political terms, they generally do what Continental philosophers do not: by elaborating systematic principles, their goal is precisely to provide the basis for “evaluating the strengths and weaknesses of political arguments”. If (...) this is not what Continental philosophers do, what is their goal? Continental political theory has usually not been concerned with providing arguments which directly justify or criticize institutions or policies, so much as to expose and criticize the very presuppositions that characterize all peculiarly “modern” politics and social arrangements. The differences here are not so much in methodology, but in substantive, normative concerns. (shrink)

Plural predication is a pervasive part of ordinary language. We can say that some people are fifty in number, are surrounding a building, come from many countries, and are classmates. These predicates can be true of some people without being true of any one of them; they are non-distributive predications. However, the apparatus of modern logic does not allow a place for them. Thomas McKay here explores the enrichment of logic with non-distributive plural predication and quantification. His book will be (...) of great interest to philosophers of language, linguists, metaphysicians, and logicians. (shrink)

This paper is devoted to the formulation and investigation of a dynamic semantic interpretation of the language of first-order predicate logic. The resulting system, which will be referred to as ‘dynamic predicate logic’, is intended as a first step towards a compositional, non-representational theory of discourse semantics. In the last decade, various theories of discourse semantics have emerged within the paradigm of model-theoretic semantics. A common feature of these theories is a tendency to do away with the principle of compositionality, (...) a principle which, implicitly or explicitly, has dominated semantics since the days of Frege. Therefore the question naturally arises whether non-compositionality is in any way a necessary feature of discourse semantics. Since we subscribe to the interpretation of compositionality as constituting primarily a methodological principle, we consider this to be a methodological rather than an empirical question. As a consequence, the emphasis in the present paper lies on developing an alternative compositional semantics of discourse, which is empirically equivalent to its non-compositional brethren, but which differs from them in a principled methodological way. Hence, no attempts are made to improve on existing theories empirically. Nevertheless, as we indicate in section 5, the development of a compositional alternative may in the end have empirical consequences, too. First of all, it can be argued that the dynamic view on interpretation developed in this paper suggests natural and relatively easy to formulate extensions which enable one to deal with a wider range of phenomena than can be dealt with in existing theories. Moreover, the various approaches to the model-theoretic semantics of discourse that have been developed during the last decade, have constituted a ‘fresh start’ in the sense that much of what had been accomplished before was ignored, at least for a start. Of course, this is a justified strategy if one feels one is trying to develop a radically different approach to recalcitrant problems. However, there comes a time when such new approaches have to be compared with the older one, and when an assessment of the pros and cons of each has to be made. One of the main problems in semantics today, we feel, is that a semantic theory such as Montague grammar, and an approach like Kamp’s discourse representation theory, are hard to compare, let alone that it is possible to unify their insights and results.. (shrink)

Predicativity is a notable example of fruitful interaction between philosophy and mathematical logic. It originated at the beginning of the 20th century from methodological and philosophical reflections on a changing concept of set. A clarification of this notion has prompted the development of fundamental new technical instruments, from Russell's type theory to an important chapter in proof theory, which saw the decisive involvement of Kreisel, Feferman and Schütte. The technical outcomes of predica-tivity have since taken a life of their own, (...) but have also produced a deeper understanding of the notion of predicativity, therefore witnessing the " light logic throws on problems in the foundations of mathematics. " (Feferman 1998, p. vii) Predicativity has been at the center of a considerable part of Feferman's work: over the years he has explored alternative ways of explicating and analyzing this notion and has shown that predicative mathematics extends much further than expected within ordinary mathematics. The aim of this note is to outline the principal features of predicativity, from its original motivations at the start of the past century to its logical analysis in the 1950-60's. The hope is to convey why predicativity is a fascinating subject, which has attracted Feferman's attention over the years. (shrink)

My aim in this paper is to offer a novel justification for β-Equivalence. β-Equivalence is a standard principle of higher-order logic, but it is metaphysically controversial. My argument for β-Equivalence is based on a distinctively Fregean conception of predication. I argue that the Fregean conception motivates a non-standard notation for predicates, which can then be used to show that β-Equivalence is trivial on that conception. I also argue that the Fregean conception motivates a functional individuation of properties, which we can (...) use to extend the Fregean justification for β-Equivalence to cover a more general principle, β-Conversion. (shrink)

We discuss the challenge to truth-conditional semantics presented by apparent shifts in extension of predicates such as ‘red’. We propose an explicit indexical semantics for ‘red’ and argue that our account is preferable to the alternatives on conceptual and empirical grounds.

I argue that maps do not feature predication, as analyzed by Frege and Tarski. I take as my foil (Casati and Varzi, Parts and places, 1999), which attributes predication to maps. I argue that the details of Casati and Varzi’s own semantics militate against this attribution. Casati and Varzi emphasize what I call the Absence Intuition: if a marker representing some property (such as mountainous terrain) appears on a map, then absence of that marker from a map coordinate signifies absence (...) of the corresponding property from the corresponding location. Predication elicits nothing like the Absence Intuition. “F(a)” does not, in general, signify that objects other than a lack property F. On the basis of this asymmetry, I argue that attaching a marker to map coordinates is a different mode of semantic composition than attaching a predicate to a singular term. (shrink)

I articulate and defend a necessary and sufficient condition for predication. The condition is that a term or term-occurrence stands in the relation of ascription to its designatum, ascription being a fundamental semantic relation that differs from reference. This view has dramatically different semantic consequences from its alternatives. After outlining the alternatives, I draw out these consequences and show how they favour the ascription view. I then develop the view and elicit a number of its virtues.

Whether a predicate is a referential expression depends upon what reference is conceived to be. Even if it is granted that reference is a relation between words and worldly items, the referents of expressions being the items to which they are so related, this still leaves considerable scope for disagreement about whether predicates refer. One of Frege's great contributions to the philosophy of language was to introduce an especially liberal conception of reference relative to which it is unproblematic to suppose (...) that predicates are referring expressions. According to this liberal conception, each significant expression in a language has its own distinctive semantic role or power, a power to effect the truth-value of the sentences in which it occurs. (shrink)

This paper explores the possibility of developing a hybrid version of dispositional theories of aesthetic values. On such a theory, uses of aesthetic predicates express relational second-order dispositional properties. If the theory is not absolutist, it allows for the relativity of aesthetic values. But it may be objected to on the grounds that it fails to explain disagreement among subjects who are not disposed alike. This paper explores the possibility of adapting recent proposals of hybrid expressivist theories for moral predicates (...) to the case of aesthetic predicates. Hybrid expressivist theories make no explicit commitment about the kind of property expressed by the predicate, but make explicit commitments to implicated (or presupposed)expressive content. It is argued that dispositionalism about the properties expressed by aesthetic predicates, combined with expressive implicatures (or presuppositions), can account for aesthetic disagreements even in cases where subjects are not relevantly alike. (shrink)

In Predication and Ontology A. Kalbarczyk provides the first monograph-length study of the Arabic reception of Aristotle’s Categories. At the center of attention is the critical reappraisal of that treatise by Ibn Sīnā, better known in the Latin West as Avicenna. Ibn Sīnā’s reading of the Categories is examined in the context of his wider project of rearranging the transmitted body of philosophical knowledge. Against the background of the late ancient commentary tradition and subsequent exegetical efforts, Ibn Sīnā’s Kitāb al-Maqūlāt (...) of the Šifāʾ is interpreted as a milestone in the gradual reshuffle of the relationship between logic proper and ontology. In order to assess the philosophical impact of this realignment, some of the subsequent developments in Ibn Sīnā’s writings and in the emerging post-Avicennian tradition are also taken into account. The thematic focus lies on the two fundamental classification schemes which Aristotle introduces in the treatise: the fourfold division of Cat. 2 and the tenfold scheme of Cat. 4. They both pose the question of whether and how the manner in which an expression is predicated relates to extra-linguistic reality. As the study intends to show, this question is one of the driving forces of Ibn Sīnā’s momentous reform of the Aristotelian curriculum. (shrink)

The US has conducted or routinely conducts personality and signature drone strikes into Afghanistan, Pakistan, Iraq, Syria, Yemen, Somalia, and most likely other states as well. The US does this in order to disrupt, dismantle, and defeat terrorist organizations. In some of these attacks, states have given their expressed or tacit consent to the US to conduct these drone strikes. However, some states do not consent to the US conducting kinetic drone strikes within their territory. In these cases, it seems (...) prima facie reasonable to suggest that these acts or use of force are unjustified because they violate the political sovereignty and territorial integrity of a non-consenting state. Furthermore, the US is not at war with these other states so there is no leeway in suggesting that a state has a right to conduct these operations against another state. As it currently stands, attempting to use jus ad bellum criteria to discern a state’s moral justification for implementing force short of war is not only unhelpful but fails to provide a reasonable framework. The use of armed drones is a recent phenomena that will continue to evolve, and with this comes a need for establishing a set of moral guidelines on a state’s implementation of them. In an attempt to remedy this shortcoming, we need to look at drone strikes not as an act of war but as an act or force short of war. I want to make the case that drone strikes can be morally justified using the Responsibility to Protect norms. That is, the Responsibility to Protect norms should be the guiding norms with regard to jus ad vim. Incorporating the R2P norms into a jus ad vim account provides a framework of when states can morally resort to the use of force. (shrink)

In this essay, I argue that for sentences of form “A is B” there isa distinction between identity and “mere” predication to be made, and thatLeśniewski’s Ontology puts us in a better position to make this distinctionthan first-order predicate logic. I also gesture at how Ontology could helpus to decide questions of identity. The nub of the matter seems to be a“primordial” sense of the copula that Ontology has at its basis.

According to indexical contextualism, the perspectival element of taste predicates and epistemic modals is part of the content expressed. According to nonindexicalism, the perspectival element must be conceived as a parameter in the circumstance of evaluation, which engenders “thin” or perspective-neutral semantic contents. Echoing Evans, thin contents have frequently been criticized. It is doubtful whether such coarse-grained quasi-propositions can do any meaningful work as objects of propositional attitudes. In this paper, I assess recent responses by Recanati, Kölbel, Lasersohn and MacFarlane (...) to the “incompleteness worry”. None of them manages to convince. Particular attention is devoted to an argument by John MacFarlane, which states that if perspectives must be part of the content, so must worlds, which would make intuitively contingent propositions necessary. I demonstrate that this attempt to defend thin content views such as nonindexical contextualism and relativism conflates two distinct notions of necessity, and that radical indexicalist accounts of semantics, such as Schaffer’s necessitarianism, are in fact quite plausible. (shrink)

This paper sets out a predicative response to the Russell-Myhill paradox of propositions within the framework of Church’s intensional logic. A predicative response places restrictions on the full comprehension schema, which asserts that every formula determines a higher-order entity. In addition to motivating the restriction on the comprehension schema from intuitions about the stability of reference, this paper contains a consistency proof for the predicative response to the Russell-Myhill paradox. The models used to establish this consistency also model other axioms (...) of Church’s intensional logic that have been criticized by Parsons and Klement: this, it turns out, is due to resources which also permit an interpretation of a fragment of Gallin’s intensional logic. Finally, the relation between the predicative response to the Russell-Myhill paradox of propositions and the Russell paradox of sets is discussed, and it is shown that the predicative conception of set induced by this predicative intensional logic allows one to respond to the Wehmeier problem of many non-extensions. (shrink)

Judgments of personal taste such as “Haggis is delicious” are puzzling. On the one hand they express the speaker’s personal taste. On the other hand it is normal to disagree about the truth of such judgments. Giving semantics for predicates of taste that can accommodate both intuitions has proven challenging. Let us call the phenomenon that the truth of judgments of taste depends on variable tastes 'perspective dependence'. The thesis discusses two most popular semantic accounts for predicates of taste. Contextualists (...) hold that the speaker’s perspective is an element of the content of predicates of taste. However, the view has trouble explaining what disagreements of taste are about, if speakers in fact make compatible judgments. Semantic relativism is a recent framework which is motivated by its alleged ability to explain both perspective dependence and disagreements. Relativists hold that whereas the content of a judgment of taste doesn’t refer to a perspective, it gets a truth value only when evaluated relative to a perspective. I argue that neither account is successful, and their fundamental mistake is to hold that people know that judgments of taste are perspective-dependent. I argue that majority of speakers take judgments of taste to be true or false irrespective of their personal preferences. If such “folk objectivism” is true, perspective-independent semantics for predicates of taste becomes a plausible view. However, a metaphysical presupposition that all the theorists agree on is that taste properties are perspective-dependent. Therefore a perspective-independent semantics will be committed to an error theory. I question the metasemantics behind the error theory and conclude that we should adopt a more externalist metasemantics. That allows us to explain how predicates of taste can be perspective-dependent despite of folk objectivism. The resulting perspectivalist view can thus account both for perspective dependence and for why people disagree about taste. (shrink)

Simple sentences containing predicates like "tasty" and "beautiful" typically suggest that the speaker has first-hand knowledge of the item being evaluated. I consider two explanations of this acquaintance inference: a presuppositional approach and a pragmatic-epistemic approach. The presuppositional approach has a number of virtues, but runs into trouble because the acquaintance inference has a very different projection pattern from that of standard presuppositions. The pragmatic-epistemic approach accounts for the main data discussed in the paper, but faces challenges of its own.

This article proposes that predicate order and coherence relations are the two major determining factors in copredication licensing, resolving a long-standing puzzle over the criteria for constructing acceptable copredications. The effects of predicate ordering are claimed to be anchored around semantic complexity, such that copredications with semantically Simple–Complex predicate orderings are more acceptable than the reverse. This motivates a parsing bias, termed Incremental Semantic Complexity. Particular ways of implementing this parsing bias are discussed. The effect of predicate coherence is claimed (...) to be anchored around a sense of causality and featural commonality. Lastly, a hierarchy of possible copredications is outlined (the Copredication Hierarchy), helping to delimit the modelling of copredications to a greater extent than has previously been possible. (shrink)

Anyone with more than casual interest in Aristotle's Categories knows the convention that "predicated of" ["κατηγορεἳται"] marks a general relation of predication while "said of" ["λέγεται"] is reserved for essential predication. By "convention" I simply mean to underscore that the view in question ranks as the conventional or received interpretation. Ackrill, for example, follows the received view in holding that only items within the same category (not arbitrarily, of course) can stand in the being-said-of relation and, thus, that only (...) secondary substances can be said of primary substances. Despite its long received status the convention has never received a fully comprehensive examination and defense. In fact such an account is needed because, while enjoying considerable textual support, certain passages of the Categories appear to clash with the convention. My aim in this paper is, first, to develop and defend the standard interpretation, as I shall call it. Since the standard interpretation has lately been challenged in a closely argued article by Russell Dancy, my defense will proceed partly with an eye to his criticisms. Having met these, I go on to raise some difficulties with the rather unorthodox reading Dancy gives the Categories. The crucial point here turns out to be what Aristotle understands by a paronym. (shrink)

According to contextualism, the extension of claims of personal taste is dependent on the context of utterance. According to truth relativism, their extension depends on the context of assessment. On this view, when the taste preferences of a speaker change, so does the truth value of a previously uttered taste claim, and the speaker might be required to retract it. Both views make strong empirical assumptions, which are here put to the test in three experiments with over 740 participants. It (...) turns out that the linguistic behaviour of ordinary English speakers is consistent with contextualist predictions and inconsistent with the predictions of the most widely discussed form of truth relativism advocated by John MacFarlane. (shrink)

This paper develops an account of the structure of ‘if’-clauses in noun phrases (N if S) and verb phrases (V if S), labeled ‘conditional predicates’. The analyses are developed in a three-layered architecture for noun phrases (√-n-n∗) and verb phrases (√-v-v∗). I provide evidence from ellipsis and interactions with modifiers which support analogous structures for N if S conditionals and V if S conditionals. In both cases the ‘if’-clause combines with a predicate and is interpreted under the base position of (...) an external argument. I argue that interpretation at the level of the √P and nP/vP are each possible; and the ‘if’-clauses can modify predicates of events, states, and entities. An array of novel corpus data and crosslinguistic data are provided. The data and syntactic results have rich implications for broader work on the semantics of conditionals as well as root meaning, ellipsis, and nominal and verbal predication. (shrink)

We shall distinguish between sortal predication and standard predication. The former kind of predication necessarily involves sortal concepts but the latter, as it is customarily viewed, does not. It is generally thought that the only essential occurrence of a concept in a standard predication is the concept being predicated. In this paper, we shall put forward an alternative view. We shall propose to understand standard predication as a cognitive act essentially requiring sortal concepts. We shall call this view conceptual (...) predication sortalism and ground it on the basis of epistemic-semantic reasons. Concepts are understood as intersubjectively realizable capacities or abilities that fulfill particular cognitive roles, such as those of classification, categorization, individuation, and referring. (shrink)

What in Aristotle corresponds, in whole or (more likely) in part, to our contemporary notion of predication? This paper sketches counterparts in Aristotle's text to our theories of expression and of truth, and on this basis inquires into his treatment of sentences assigning an individual to its kinds. In some recent accounts, the Metaphysics offers a fresh look at such sentences in terms of matter and form, in contrast to the simpler theory on offer in the Categories . I argue (...) that the Metaphysics initiates no change in this regard over the Categories . The point that form is (metaphysically) predicated of matter is a contribution, not to the account of statement predication, but to the analysis of compound material substances. Otherwise put, in our terms Aristotelian form is not - in particular, is not also - a propositional function, but a function from matter to compound material substances. (shrink)

Predicates of taste, such as ‘fun’ and ‘tasty’, have received considerable attention in recent debates between contextualists and relativists, with considerations involving disagreement playing a central role. Considerations involving disagreement have been taken to present a problem for contextualist treatments of predicates of taste. My goal is to argue that considerations involving disagreement do not undermine contextualism. To the extent that relativism was supposed to be motivated by contextualists being unable to deal with disagreement, this motivation is lacking. The argument (...) against contextualism rests on a too simple and narrow conception of disagreement that turns out to be problematic once we consider a wider range of cases. If we reject the assumptions about disagreement that the argument rests on, it no longer poses a threat to contextualism. (shrink)

This book develops arithmetic without the induction principle, working in theories that are interpretable in Raphael Robinson's theory Q. Certain inductive formulas, the bounded ones, are interpretable in Q. A mathematically strong, but logically very weak, predicative arithmetic is constructed. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting (...) them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. (shrink)

One reason to think that names have a predicate-type semantic value is that they naturally occur in count-noun positions: ‘The Michaels in my building both lost their keys’; ‘I know one incredibly sharp Cecil and one that's incredibly dull’. Predicativism is the view that names uniformly occur as predicates. Predicativism flies in the face of the widely accepted view that names in argument position are referential, whether that be Millian Referentialism, direct-reference theories, or even Fregean Descriptivism. But names are predicates (...) in all of their occurrences; they are predicates that are true of their bearers. When a name appears as a bare singular in argument position, it really occupies the predicate position of what in this essay is called a denuded definite description: a definite description with an unpronounced definite article. Sloat provided good evidence for this. The definite article is sometimes pronounced with names in the singular: ‘The Ivan we all love doesn't feel well’. Sloat proposed a disjunctive generalization of when the definite article must be pronounced with a singular name. This essay shows that by slightly revising Sloat's generalization, we arrive at a simple, nondisjunctive, syntactic rule that governs the overt appearance of the definite article with singular names. But Ivan does not necessarily bear the name ‘Ivan’, so one might worry that the sentence “Ivan might not have had ‘Ivan’ as a name” would incorrectly be predicted false. This essay shows that Predicativism does not have this consequence by showing that incomplete definite descriptions in general and incomplete denuded descriptions, such as ‘Øthe Ivan’, in particular are rigid designators. (shrink)

In the sentence “Tom sits,” the name distinguishes Tom from anyone else, whereas the predicate assimilates Tom, Theaetetus, and anyone else to whom the predicate applies. The name marks out its bearer and the predicate groups together what it applies to. On that ground, his name is used to trace back Tom, and the predi- cate is used to describe and classify what it applies to. In both cases, the semantic link is a direct link between expressions and particulars. Here, (...) I will explore the workings of predicative names along the direction just hinted at. The analysis of predication has been less central to philosophical investigation than that of referen- tial expressions. Some problems have concerned the unity of the sentence—what makes us understand “The baby cries” as a sentence rather than a list of words? Other problems have been what a predicate was taken to stand for, properties and relations, and the understanding of either at the ontological level. If a predicate refers to a property or a relation, yet predication, which is central to our understand- ing of predicates, applies it to one or more particulars. On the background hinted at, these problems might be differently viewed. (shrink)

This chapter discusses the predicative conception of the continuum. It has three parts. The first part gives a historical account of the origins of the concept of predicativity, from its birth in the general logical setting of Russell’s work on the paradoxes, to its relocation to a more specific mathematical setting in Weyl’s work on his limitative conception of analysis. The second part traces the development of the subsequent analysis of the concept of predicativity, and culminates in Feferman’s celebrated analysis. (...) The third part addresses—in the light of these developments —the question of what the continuum looks like from the predicative point of view. Three predicative conceptions of the continuum are distinguished—one associated with Weyl, and two associated with Feferman—and it is argued that each predicative conception involves, in one way or another, a radical departure from our default conception of the continuum. (shrink)

What is predicativity? While the term suggests that there is a single idea involved, what the history will show is that there are a number of ideas of predicativity which may lead to different logical analyses, and I shall uncover these only gradually. A central question will then be what, if anything, unifies them. Though early discussions are often muddy on the concepts and their employment, in a number of important respects they set the stage for the further developments, and (...) so I shall give them special attention. NB. Ahistorically, modern logical and set-theoretical notation will be used throughout, as long as it does not conflict with original intentions. (shrink)

This paper offers a new semantic theory of existentials (sentences of the form There be NP pivot XP coda ) in which pivots are (second order) predicates and codas are modifiers. The theory retains the analysis of pivots as denoting generalized quantifiers (Barwise and Cooper 1981; Keenan 1987), but departs from previous analyses in analyzing codas as contextual modifiers on a par with temporal/locative frame adverbials. Existing analyses universally assume that pivots are arguments of some predicate, and that codas are (...) main or secondary predicates. It is shown that these analyses cannot account for the behavior of codas with quantifiers and for the interaction of multiple codas, both of which receive a simple treatment on the proposed theory. The assimilation of codas to frame adverbials explains several semantic properties which have not been analyzed in the semantic literature, and that distinguish existentials from their copular counterparts. Furthermore, it highlights important properties of the semantics of modification and its relation to predication. (shrink)

A predicate logic typically has a heterogeneous semantic theory. Subjects and predicates have distinct semantic roles: subjects refer; predicates characterize. A sentence expresses a truth if the object to which the subject refers is correctly characterized by the predicate. Traditional term logic, by contrast, has a homogeneous theory: both subjects and predicates refer; and a sentence is true if the subject and predicate name one and the same thing. In this paper, I will examine evidence for ascribing to Aristotle the (...) view that subjects and predicates refer. If this is correct, then it seems that Aristotle, like the traditional term logician, problematically conflates predication and identity claims. I will argue that we can ascribe to Aristotle the view that both subjects and predicates refer, while holding that he would deny that a sentence is true just in case the subject and predicate name one and the same thing. In particular, I will argue that Aristotle's core semantic notion is not identity but the weaker relation of constitution. For example, the predication ‘All men are mortal’ expresses a true thought, in Aristotle's view, just in case the mereological sum of humans is a part of the mereological sum of mortals. (shrink)

Several philosophers have recently appealed to predication in developing their theories of cognitive representation and propositions. One central point of difference between them is whether they take predication to be forceful or neutral and whether they take the most basic cognitive representational act to be judging or entertaining. Both views are supported by powerful reasons and both face problems. Many think that predication must be forceful if it is to explain representation. However, the standard ways of implementing the idea give (...) rise to the Frege-Geach problem. Others think that predication must be neutral, if we’re to avoid the Frege-Geach problem. However, it looks like nothing neutral can explain representation. In this paper I present a third view, one which respects the powerful reasons while avoiding the problems. On this view predication is forceful and can thus explain representation, but the idea is implemented in a novel way, avoiding the Frege-Geach problem. The key is to make sense of the notion of grasping a proposition as an objectual act where the object is a proposition. (shrink)

Prominent constructive theories of sets as Martin-Löf type theory and Aczel and Myhill constructive set theory, feature a distinctive form of constructivity: predicativity. This may be phrased as a constructibility requirement for sets, which ought to be finitely specifiable in terms of some uncontroversial initial “objects” and simple operations over them. Predicativity emerged at the beginning of the 20th century as a fundamental component of an influential analysis of the paradoxes by Poincaré and Russell. According to this analysis the paradoxes (...) are caused by a vicious circularity in definitions; adherence to predicativity was therefore proposed as a systematic method for preventing such problematic circularity. In the following, I sketch the origins of predicativity, review the fundamental contributions by Russell and Weyl and look at modern incarnations of this notion. (shrink)

The notions of subject matter and aboutness have been objects of considerable attention among philosophers over the last few years. Current theories of subject matter take sentences to be the primary bearers of subject matter: “sentences have aboutness properties if anything has” (Yablo, Aboutness, Princeton University Press, 2014). However, some subsentential expressions can also be thought of as being about something. Moreover, it appears that the subject matters of sentences depend in a systematic way on the aboutness properties of their (...) subsentential components. In this paper, we focus on the question of what predicates are about. We provide an account of predicative subject matter in which subject matters are assigned to predicates in a natural way, and which can be smoothly integrated with some existing accounts of sentential subject matter. We also argue that the notion of predicative subject matter is a worthy object of study, both within the current debate on subject matter and in its own right. (shrink)

In his 2000 book Logical Properties Colin McGinn argues that predicates denote properties rather than sets or individuals. I support the thesis, but show that it is vulnerable to a type-incongruity objection, if properties are (modelled as) functions, unless a device for extensionalizing properties is added. Alternatively, properties may be construed as primitive intensional entities, as in George Bealer. However, I object to Bealer’s construal of predication as a primitive operation inputting two primitive entities and outputting a third primitive entity. (...) Instead I recommend we follow Pavel Tichý in construing both predication and extensionalization as instances of the primitive operation of functional application. (shrink)

Despite the wide acceptance of standard modal logic, there has always been a temptation to think that ordinary modal discourse may be correctly analyzed and adequately represented in terms of predicates rather than in terms of operators. The aim of the formal model outlined in this paper is to capture what I take to be the only plausible sense in which ‘possible’ and ‘necessary’ can be treated as predicates. The model is built by enriching the language of standard modal logic (...) with a quantificational apparatus that is “substitutional” rather than “objectual”, and by obtaining from the language so enriched another language in which constants for such predicates apply to singular terms that stand for propositions. (shrink)

This book takes up the central themes of Aristotle's metaphysical theory and the various transformations they undergo prior to their full expression in the Metaphysics. Aristotle's metaphysics is bedevilled by classic puzzles involving such notions as form, predication, universal, and substance, which result from his attempt to adapt the various requirements on primary substance developed in his earlier works so that they fit the very different metaphysical picture in his later work. Professor Lewis argues that Aristotle is himself aware of (...) most if not all of these difficulties and in the Metaphysics works hard to ensure the coherence of his theory. He presents Aristotle's views as a formal theory complete with axioms, definitions, and theorems. (shrink)

The main aim of the paper is to reject the idea that predicates of personal taste express normative meanings. According to a recent theory proposed by Daniel Gutzmann, predicates of personal taste express both a truth-conditional content and a use-conditional content, the latter being normative. The purported normativity of predicates of personal taste is supposed to consist in that when producing utterances containing such predicates, their speakers suggest how other people ought to experience the objects of taste under discussion. The (...) paper provides a bunch of evidence to show there are utterances containing predicates of personal taste that cannot be used normatively in this sense. In particular, it is claimed that one can make such an utterance and then add a related normative piece of information without doing anything redundant; one can also make such an utterance and then deny the related normative piece of information without generating any contradiction or infelicity. At the same time, it is admitted there are situations in which the speakers do communicate something normative by producing utterances containing predicates of personal taste. We thus need an explanation to cope with such cases. Although the paper does not offer one, it provides some reasons to the effect that a correct explanation has to be pragmatic rather than semantic. (shrink)

Natural languages generally distinguishes among different existence predicates for different types of entities, such as English 'exist', 'occur', and 'obtain'. The paper gives an in-depth discussion and analysis of a range of existence predicates in natural language within the general project of descriptive metaphysics, or more specifically ‘natural language ontology’.