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.

Indexicality is a feature of predicates and predicate components (verbs, adjectives, adverbs and the like) as well as of referring expressions. With classic referring indexicals such as 'I' or 'that' a distinctive rule takes us from token and context to some item present in the content which is the semantic correlate of the token. Predicates and predicate components may function in an analogous fashion. For example 'thus' is an indexical adverb which latches onto some manner of performance (...) present in its context. 'John sang thus', said while indicating someone singing discordantly, claims that John sang discordantly. The phenomenon of predicatival indexicality is widespread in English and is expressed in a variety of idioms. Indexical predication plays important epistemological and psychological roles and the notion may have other interesting philosophical applications. (shrink)

Focusing on predicates of taste, this paper puts forward a novel version of relativism, motivated by a recently discussed phenomenon: perspectival plurality. After showing that the phenomenon is problematic for at least some versions of relativism and discussing several possible answers on behalf of the relativist, I put forward my own version. The main feature of the proposal is the introduction in the index not of a single parameter for perspectives, but of a (possibly infinite) sequence of such parameters. (...) In the last part of the paper, I defend the view from three objections. (shrink)

We argue that no attempt of reducing meaning to a systematic set of rules, according to which the role of linguistic expressions is to be normatively defined, can be abstracted from an irreducibly decisional compound. By comparing Lorenzen ’s project of building an Ortho-language and Brandom ’s inferentialist take on meaning, we distinguish two ways of acknowledging this fact, while claiming that Lorenzen ’s take is more genuinely constructive, insofar as choices be thought of as genuine features of constructions. It (...) brings into a new perspective the relation between dialogical constructivism and Brouwer ’s intuitionism. Finally we bring up a philosophical argument for the claim that interaction rules should be indexed on players and on their choices, when providing deontic bases to semantics. (shrink)

Truth conditional semantics is the project of ‘determining a way of assigning truth conditions to sentences based on A) the extension of their constituents and B) their syntactic mode of combination’. This research program has been subject to objections that take the form of underdetermination arguments, an influential instance of which is presented by Travis: … consider the words ‘The leaf is green,’ speaking of a given leaf, and its condition at a given time, used so as to mean what (...) they do mean in English. How many distinct things might be said in words with all that true of them? Many.… Suppose a Japanese maple leaf, turned brown, was painted green for a decoration. In sorting leaves by colour, one might truly call this one green. In describing leaves to help identify their species, it might, for all the paint, be false to call it that. (shrink)

A context-shifting example involves a putatively non-ambiguous, non-elliptical, non-indexical declarative sentence, some distinct utterances of which differ in truth value despite sameness of place, time, surrounding objects, and other physical factors. Charles Travis has spawned a large literature by arguing that such examples undermine compositional truth-conditional semantics. After explaining how prior responses to Travis’s examples fail in the metaphysical details, the present essay develops a new approach that treats a wide range of subject terms as disguised indexicals sensitive to (...) mereological structure. (shrink)

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)

It is commonly held that retraction data, if they exist, show that assessment relativism is preferable to non-indexical contextualism. I argue that this is not the case. Whether retraction data have the suggested probative force depends on substantive questions about the proper treatment of tense and location. One’s preferred account in these domains should determine whether one accepts assessment relativism or non-indexical contextualism.

Epistemic contextualism—the view that the content of the predicate ‘know’ can change with the context of utterance—has fallen into considerable disrepute recently. Many theorists have raised doubts as to whether ‘know’ is context-sensitive, typically basing their arguments on data suggesting that ‘know’ behaves semantically and syntactically in a way quite different from recognised indexicals such as ‘I’ and ‘here’ or ‘flat’ and ‘empty’. This paper takes a closer look at three pertinent objections of this kind, viz. at what I call (...) the Error-Theory Objection, the Gradability Objection and the Clarification-Technique Objection. The paper concludes that none of these objections can provide decisive evidence against contextualism. (shrink)

The particular behavior exhibited by sentences featuring predicates of personal taste such as “tasty” may drive us to claim that their truth depends on the context of assessment, as MacFarlane does. MacFarlane considers two ways in which the truth of a sentence can depend on the context of assessment. On the one hand, we can say that the sentence expresses a proposition whose truth-value depends on the context of assessment. This is MacFarlane’s position, which he calls “truth relativism” and, (...) following Weatherson, I rebrand as “nonindexical relativism”. On the other hand, we can say that what proposition a sentence expresses depends on the context of assessment. MacFarlane calls this position “content relativism” and rejects it on the grounds that it leads to implausible readings of certain sentences and is unable to account for the speaker’s authority over the content of her assertions. In this paper, I too argue against content relativism, which, again following Weatherson, I rebrand as “indexical relativism”. However, my arguments against the theory are different from MacFarlane’s, which I prove unsound. In particular, I show that any version of indexical relativism will be unable to account for at least one of the phenomena that have been standardly used to motivate nonindexical relativism—faultless disagreement and retraction—in most of the ways in which it has been proposed to understand them. (shrink)

In a number of publications A.N. Prior considered the use of what he called ‘metric tense logic’. This is a tense logic in which the past and future operators P and F have an index representing a temporal distance, so that Pnα means that α was true n -much ago, and Fn α means that α will be true n -much hence. The paper investigates the use of metric predicate tense logic in formalising phenomena ormally treated by such devices as (...) multiple indexing or quantification over times. (shrink)

Reference and indexicality are two central topics in the Philosophy of Language that are closely tied together. In the first part of this book, a description theory of reference is developed and contrasted with the prevailing direct reference view with the goal of laying out their advantages and disadvantages. The author defends his version of indirect reference against well-known objections raised by Kripke in Naming and Necessity and his successors, and also addresses linguistic aspects like compositionality. In the second part, (...) a detailed survey on indexical expressions is given based on a variety of typological data. Topics addressed are, among others: Kaplan's logic of demonstratives, conversational versus utterance context, context-shifting indexicals, the deictic center, token-reflexivity, vagueness of spatial and temporal indexicals, reference rules, and the epistemic and cognitive role of indexicals. From a descriptivist perspective on reference, various examples of simple and complex indexicals are analyzed in first-order predicate logic with reified contexts. A critical discussion of essential indexicality, de se readings of attitudes and accompanying puzzles rounds up the investigation. (shrink)

A familiar strategy of argument to the effect that natural-language predicates are semantically context dependent rests on constructing what I term Travis cases: different contexts for the use of a predicate are imagined in which its semantic (typically, truth-conditional) properties are claimed to differ. I propose an account of the semantic properties of predicates that give rise to Travis cases; I then argue that the account underwrites a genuine alternative to the standard explanations of Travis cases to be (...) found in the literature; I close with a brief sketch of the connections, required by a fuller development of my account, among the semantic notion of a predicate’s content, the metaphysical notion of a property’s instantiation, and the cognitive notion of a language user’s perspective in using a predicate. (shrink)

Neural correlates exist for a basic component of logical formulae, PREDICATE(x). Vision and audition research in primates and humans shows two independent neural pathways; one locates objects in body-centered space, the other attributes properties, such as colour, to objects. In vision these are the dorsal and ventral pathways. In audition, similarly separable “where” and “what” pathways exist. PREDICATE(x) is a schematic representation of the brain's integration of the two processes of delivery by the senses of the location of an arbitrary (...) referent object, mapped in parietal cortex, and analysis of the properties of the referent by perceptual subsystems. The brain computes actions using a few “deictic” variables pointing to objects. Parallels exist between such nonlinguistic variables and linguistic deictic devices. Indexicality and reference have linguistic and nonlinguistic (e.g., visual) versions, sharing the concept of attention. The individual variables of logical formulae are interpreted as corresponding to these mental variables. In computing action, the deictic variables are linked with “semantic” information about the objects, corresponding to logical predicates. Mental scene descriptions are necessary for practical tasks of primates, and preexist language phylogenetically. The type of scene descriptions used by nonhuman primates would be reused for more complex cognitive, ultimately linguistic, purposes. The provision by the brain's sensory/perceptual systems of about four variables for temporary assignment to objects, and the separate processes of perceptual categorization of the objects so identified, constitute a pre-adaptive platform on which an early system for the linguistic description of scenes developed. Key Words: argument; attention; deictic; dorsal; logic; neural; object; predicate; reference; ventral. (shrink)

The concept of rhetorical predicates reveals significant information about Anggor semantic structure. Still greater generality comes from introducing the theoretical concept of a topologically based time index. This topological handling of time provides a tool for studying universal aspects of the cognition of time. Time indexing provides an adequate means of indicating temporal relations in semantic structure without being compelled to consider particular surface manifestations of temporal relations as basic, and also provides a means of relating intralinguistic and extralinguistic (...) temporal reference. Time indexing appears to go more appropriately with propositions than with variables. (shrink)

Reference and indexicality are two central topics in the Philosophy of Language that are closely tied together. In the first part of this book, a description theory of reference is developed and contrasted with the prevailing direct reference view with the goal of laying out their advantages and disadvantages. The author defends his version of indirect reference against well-known objections raised by Kripke in Naming and Necessity and his successors, and also addresses linguistic aspects like compositionality. In the second part, (...) a detailed survey on indexical expressions is given based on a variety of typological data. Topics addressed are, among others: Kaplan's logic of demonstratives, conversational versus utterance context, context-shifting indexicals, the deictic center, token-reflexivity, vagueness of spatial and temporal indexicals, reference rules, and the epistemic and cognitive role of indexicals. From a descriptivist perspective on reference, various examples of simple and complex indexicals are analyzed in first-order predicate logic with reified contexts. A critical discussion of essential indexicality, de se readings of attitudes and accompanying puzzles rounds up the investigation. (shrink)

In this paper I argue against one variety of contextualism about aesthetic predicates such as “beautiful.” Contextualist analyses of these and other predicates have been subject to several challenges surrounding disagreement. Focusing on one kind of contextualism— individualized indexical contextualism —I unpack these various challenges and consider the responses available to the contextualist. The three responses I consider are as follows: giving an alternative analysis of the concept of disagreement ; claiming that speakers suffer from semantic blindness; (...) and claiming that attributions of beauty carry presuppositions of commonality. I will argue that none of the available strategies gives a response which both satisfactorily explains all of the disagreement -data and is plausible independent of significant evidence in favor of contextualism. I conclude that individualized indexical contextualism about the aesthetic is untenable, although this does not rule out alternative contextualist approaches to the aesthetic. (shrink)

This paper argues that truth values of sentences containing predicates of “personal taste” such as fun or tasty must be relativized to individuals. This relativization is of truth value only, and does not involve a relativization of semantic content: If you say roller coasters are fun, and I say they are not, I am negating the same content which you assert, and directly contradicting you. Nonetheless, both our utterances can be true (relative to their separate contexts). A formal semantic (...) theory is presented which gives this result by introducing an individual index, analogous to the world and time indices commonly used, and by treating the pragmatic context as supplying a particular value for this index. The context supplies this value in the derivation of truth values from content, not in the derivation of content from character. Predicates of personal taste therefore display a kind of contextual variation in interpretation which is unlike the familiar variation exhibited by pronouns and other indexicals. (shrink)

I happen to believe that though human experiences are to be characterized as pluralistic they are all rooted in the one reality. I would assume the thesis of pluralism but how could I maintain my belief in the realism? There are various discussions in favor of realism but they appear to stay within a particular paradigm so to be called “internal realism”. In this paper I would try to justify my belief in the reality by discussing a special use of (...) indexicals. I will argue for my indexical realism by advancing the thesis that indexicals can be used as an inter-agentic referential term. Three arguments for the thesis will be presented. The first argument derives from a revision of Kaplan-Kvart’s notion of exportation. Their notions of exportation of singular terms can be analyzed as intra-agentic exportation in the context of a single speaker and theirs may be revised so as to be an inter-agentic exportation in the context of two speakers who use the same indexicals. The second is an argument from the notion of causation which is specifically characterized in the context of inter-theoretic reference. I will argue that any two theories may each say “this” in order to refer what is beyond its own theory. Two theories address themselves to ‘this’ same thing though what ‘this’ represents in each theory turn out to be different objects all together. The third argument is an argument which is based on a possibility of natural reference. Reference is used to be taken mostly as a 3-place predicate: Abe refers an object oi with an expression ej. The traditional notion of reference is constructive and anthropocentric. But I would argue that natural reference is a reference that we humans come to recognize among denumerably many objects in natural states: at a moment mi in a natural state there is a referential relation among objects o1, o2, o3, . . , oj, o j+1, . . which interact to each other as agents of information processors. Natural reference is an original reference which is naturally given and to which humans are passive as we derivatively refer it by using ‘this’. (shrink)

This paper deals with the translation of first order formulas to predicate S5 formulas. This translation does not bring the first order formula itself to a modal system, but modal interpretation of the first order formula can be given by the translation. Every formula can be translated, and the additional condition such as formula's having only one variable, or having both world domain and individual domain is not required. I introduce an indexical predicate 'E' for the translation. The meaning (...) that 'E(a)' is true is 'this world is 'a' '. Because of this meaning, I call 'E' an indexical predicate. 'E' plays an important role for the translation. In addition that the modal formulas can be translated into first order formulas, we can conclude that the first order logic and modal predicate logic isintertranslatable. (shrink)

Indexical contextualism (IC) is an account of predicates of personal taste (PPTs) which views the semantic content of PPTs as sensitive to the context in which they are uttered, by virtue of their containing an implicit indexical element. Should the context of utterance change, the semantic content carried by the PPT will also change. The main aim of this paper is to show that IC is unable to provide a satisfactory account of PPTs. I look at what (...) I call “pure” IC accounts and show that because they fail to respect empirical data regarding disagreements where neither person is at fault, known as “faultless disagreements”, they must be rejected. I then go on to consider what I call IC “plus” (IC+) accounts. Such accounts attempt to account for the faultlessness of such disagreements using a simple indexical semantics, whilst introducing some extra ingredient to account for the disagreement part. I focus on two main versions of IC+: Gutzmann’s (in: Meier, van Wijnberger-Huitink (eds) Subjective meaning: alternatives to relativism, De Gruyter, Berlin, 2016) expressivist account, and López de Sa’s (in: García-Carpintero, Kölbel (eds) Relative truth, Oxford University Press, Oxford, 2008; Erkenntnis 80(Supp 1):153–165, 2015) presuppositional account. I discuss some internal worries with these accounts before going on to some final remarks about IC/IC+ in general. I conclude that neither IC nor IC+ can provide a satisfactory semantics for PPTs. (shrink)

The word 'actually' often refers to what is in fact the case, but it also often points to what would have been the case in a possible situation that is being envisaged. To capture such nuances, the formal languages discussed in the paper add subscripts to modal operators; in the model theory the subscripts allow an actuality operator to turn the evaluation of a formula to a world introduced by a preceding possibility or necessity operator having the same subscript. The (...) paper covers both propositional and predicate logic and proves the completeness of axiomatizations that extend standard modal systems beginning with K. (shrink)

Many domains, notably the one involving predicates of personal taste, present the phenomenon of apparent faultless disagreement. Contextualism is a characteristically moderate implementation of the relativistic attempt to endorse such appearances. According to an often-voiced objection, although it straightforwardly accounts for the faultlessness, contextualism fails to respect “facts about disagreement.” With many other recent contributors to the debate, I contend that the notion of disagreement—“genuine,” “real,” “substantive,” “robust” disagreement—is indeed very flexible, and in particular can be constituted by contrasting (...) attitudes. As such, contextualism is clearly straightforwardly compatible with facts about the existence of disagreement. There is, however, a genuine prima facie worry for contextualism involving facts about the expression of disagreement in ordinary conversations. Elaborating on a suggestion by Lewis :113–138, 1989), I argue that the presupposition of commonality approach in López de Sa shows that there are versions of contextualism that are in good standing vis-à-vis such facts about the expression of disagreement. (shrink)

Sentences containing predicates of personal taste exhibit two striking features: whether they are true seems to lie in the eye of the beholder and whether they are true can be—and often is—subject to disagreement. In the last decade, there has been a lively debate about how to account for these two features. In this paper, I shall argue for two claims: first, I shall show that even the most promising approaches so far offered by proponents of so-called indexical (...) contextualism fail to account for the disagreement feature. They might be able to account for some disagreement data, but they have trouble accounting for two kinds of disagreement data that caused the estrangement from indexical contextualism and the migration to relativism in the first place: the denial and the retraction data. Second, I shall show that we still do not have to abandon indexical contextualism, because what I shall call the superiority approach—a new pragmatically extended version of indexical contextualism—can very well account for the data. (shrink)

Like proper names, demonstratives, and definite descriptions, pronouns have referential uses. These can be 'essentially indexical' in the sense that they cannot be replaced by non-pronominal forms of reference. Here we show that the grammar of pronouns in such occurrences is systematically different from that of other referential expressions, in a way that illuminates the differences in reference in question. We specifically illustrate, in the domain of Romance clitics and pronouns, a hierarchy of referentiality, as related to the topology (...) of the grammatical phase. Our explanation is based on extending the 'Topological Mapping Hypotheses' of Longobardi and Sheehan & Hinzen. The extended topology covers the full range of interpretations, from purely predicative to quantificational, to referential and deictic. Along this scale, grammatical complexity increases, and none of these forms of reference is lexical. This provides evidence for the foundational conclusion that the source of essential indexicality is grammatical rather than lexical, semantic or pragmatic. (shrink)

In this paper I focus on a recently discussed phenomenon illustrated by sentences containing predicates of taste: the phenomenon of " perspectival plurality " , whereby sentences containing two or more predicates of taste have readings according to which each predicate pertains to a different perspective. This phenomenon has been shown to be problematic for (at least certain versions of) relativism. My main aim is to further the discussion by showing that the phenomenon extends to other perspectival expressions (...) than predicates of taste and by proposing a general solution to the problem raised by it on behalf of the relativist. The core claim of the solution (" multiple indexing ") is that utterances of sentences containing perspectival expressions should be evaluated with respect to (possibly infinite) sequences of perspective parameters. (shrink)

We employ techniques related to Lempp and Lerman's “iterated trees of strategies” to directly measure a Σ5-predicate and use this in showing the index set of the cuppable r.e. sets to be Σ5-complete. We also show how certain technical devices arise naturally out of the iterated-trees context, in particular, links arise as manifestations of a generalized notion of “stage”.

Philosophers used to model belief as a relation between agents and propositions, which bear truth values depending on, and only on, the way the world is, until John Perry and David Lewis came up with cases of essentially indexical belief; that is, belief whose expression involves some indexical word, whose reference varies with the context. I shall argue that the problem of the essential indexical at best shows that belief should be tied somehow to what is subsequently (...) acted upon, and must make room for other relations than those properly predicated. But it does not show that belief cannot be modeled as a binary relation between an agent and some suitable object, nor that this object cannot be a proposition. (shrink)

Philosophers used to model belief as a relation between agents and propositions, which bear truth values depending on, and only on, the way the world is, until John Perry and David Lewis came up with cases of essentially indexical belief; that is, belief whose expression involves some indexical word, whose reference varies with the context. I shall argue that the problem of the essential indexical at best shows that belief should be tied somehow to what is subsequently (...) acted upon, and must make room for other relations than those properly predicated. But it does not show that belief cannot be modeled as a binary relation between an agent and some suitable object, nor that this object cannot be a proposition. (shrink)

In the Middle Age it was tried to show that índex of five predicables that Porfirio proposes in Isagoge was suitable and complete. More recently it is affirmed that chis índex is incomplete, and thal can add a new predicable that also Aristotle would have considered: the accidents per se.

where _x_ stands for a visible object and _y_ for a perceiving subject (the reference to a time may be neglected).¹ I take here ”character” in the sense of Kaplan (1977) as substantiated by Haas-Spohn (1995 and Chapter 14 in this book)). The point of using Kaplan’s framework is simple, but of utmost importance: It provides a scheme for clearly separating epistemological and metaphysical issues, for specifying how the two domains are related, and for connecting them to questions concerning meaning (...) where confusions are often only duplicated. All this is achieved by it better than by any alternative I know of.². (shrink)

We employ techniques related to Lempp and Lerman's “iterated trees of strategies” to directly measure a Σ5-predicate and use this in showing the index set of the cuppable r.e. sets to be Σ5-complete. We also show how certain technical devices arise naturally out of the iterated-trees context, in particular, links arise as manifestations of a generalized notion of “stage”.

Indexical predication is possible as well as the more familiar indexical reference. ‘My curtains are coloured thus’ describes my curtains. The indexical predicate expression it contains stands to possible non‐indexical replacements as a referring indexical does to possible non‐indexical replacements, in that it calls upon the context of utterance to fix its semantic contribution to the whole. Indexical predication is the natural resource to call upon in talk about skilful human performances, where we (...) exhibit considerable know‐how but little explicit know‐that. Speech is among such performances. Both direct and indirect speech reports may be illuminated by seeing them in the light of this thought. A corollary of the approach is that the prospects of providing a formal semantic treatment of indirect speech do not look good. (shrink)

Indexical predication is possible as well as the more familiar indexical reference. ‘My curtains are coloured thus’ describes my curtains. The indexical predicate expression it contains stands to possible non‐indexical replacements as a referring indexical does to possible non‐indexical replacements , in that it calls upon the context of utterance to fix its semantic contribution to the whole. Indexical predication is the natural resource to call upon in talk about skilful human performances, where (...) we exhibit considerable know‐how but little explicit know‐that. Speech is among such performances. Both direct and indirect speech reports may be illuminated by seeing them in the light of this thought. A corollary of the approach is that the prospects of providing a formal semantic treatment of indirect speech do not look good. (shrink)

This paper will present two contributions to teaching introductory logic. The first contribution is an alternative tree proof method that differs from the traditional one-sided tree method. The second contribution combines this tree system with an index system to produce a user-friendly tree method for sentential modal logic.

Grelling's Paradox is the paradox which results from considering whether heterologicality, the word-property which a designator has when and only when the designator does not bear the word-property it designates, is had by 'heterologicality'. Although there has been some philosophical debate over its solution, Grelling's Paradox is nearly uniformly treated as a variant of either the Liar Paradox or Russell's Paradox, a paradox which does not present any philosophical challenges not already presented by the two better known paradoxes. The aims (...) of this paper are, first, to offer a precise formulation of Grelling's Paradox which is clearly distinguished from both the Liar Paradox and Russell's Paradox; second, to offer a solution to Grelling's Paradox which both resolves the paradoxical reasoning and accounts for unproblematic predications of heterologicality; and, third, to argue that there are two lessons to be drawn from Grelling's Paradox which have not yet been drawn from the Liar or Russell's Paradox. The first lesson is that it is possible for the semantic content of a predicate to be sensitive to the semantic context; i.e., it is possible for a predicate to be an indexical expression. The second lesson is that the semantic content of an indexical predicate, though unproblematic for many cases, can nevertheless be problematic in some cases. In Section 1, Grelling's Paradox is presented informally. After making some refinements, Grelling's Paradox is then presented formally. In Section 2, the formal version of Grelling's Paradox is evaluated, and several previously proposed solutions are discussed and argued to be inadequate. In Section 3, it is argued that the heterologicality predicate is an indexical expression. A semantics for the heterologicality predicate is given, and it is shown how this semantics accounts for the unproblematic predications of heterologicality, as well as the problematic cases, and therefore constitutes a satisfactory and complete solution to Grelling's Paradox. Objections to this solution are addressed in Section 4. The conclusions of this paper are summarized in Section 5. (shrink)

Grelling’s Paradox is the paradox which results from considering whether heterologicality, the word-property which a designator has when and only when the designator does not bear the word-property it designates, is had by ‘ ȁ8heterologicality’. Although there has been some philosophical debate over its solution, Grelling’s Paradox is nearly uniformly treated as a variant of either the Liar Paradox or Russell’s Paradox, a paradox which does not present any philosophical challenges not already presented by the two better known paradoxes. The (...) aims of this paper are, first, to offer a precise formulation of Grelling’s Paradox which is clearly distinguished from both the Liar Paradox and Russell’s Paradox; second, to offer a solution to Grelling’s Paradox which both resolves the paradoxical reasoning and accounts for unproblematic predications of heterologicality; and, third, to argue that there are two lessons to be drawn from Grelling’s Paradox which have not yet been drawn from the Liar or Russell’s Paradox. The first lesson is that it is possible for the semantic content of a predicate to be sensitive to the semantic context; i.e., it is possible for a predicate to be an indexical expression. The second lesson is that the semantic content of an indexical predicate, though unproblematic for many cases, can nevertheless be problematic in some cases. (shrink)

How do we acquire thoughts and beliefs about particulars by looking at pictures? One kind of reply essentially compares depiction to perception, holding that picture-perception is a form of remote object-perception. Lopes’s theory that pictures refer by demonstrative identification, and Walton’s transparency theory for photographs, constitute such remote acquaintance theories of depiction. The main purpose of this paper is to defend an alternative conception of pictures, on which they are not suitable for acquainting us with particulars but for acquainting us (...) with certain kinds of properties. This conception is outlined in §4, where it is argued that pictures are useful devices for what Heal has called indexical predication. In §2 and §3, I explain why I believe that remote acquaintance theories are false, and why picture-perception cannot function as a form of extended or remote object-perception. The main reason is that the contents of picture-perceptions do not themselves provide the kind of numerical and contextual information required for singular thought. Picture-reference is instead secured by independent beliefs or linguistic communication about the causal history of pictures as objects. In other words, it is beliefs about the numerical identity of pictures as objects that anchors the reference of the representational contents of pictures. (shrink)

It is sometimes argued that contextualism cannot explain (dis)agreements concerning matters of personal taste because it treats sentences involving predicates of taste as indexical. I aim to weaken this charge. Given the idea that people sometimes use indexical sentences to express (dis)agreements about taste, two kinds of (dis)agreement are distinguished, namely doxastic and non-doxastic. Taste (dis)agreements are better explained in terms of the later kind, in which case they become amenable to contextualist treatment. It is argued that (...) if something instantiates a taste property (like being tasty for A), it has to instantiate a corresponding attitudinal property (like being liked by A). Based on this, utterances of taste sentences express propositions that concern tastiness of something (e.g., that X is tasty for A) and these propositions entail other propositions that concern non-doxastic attitudes the speakers bear toward something (e.g., that X is liked by A). One speaker is claimed to (dis)agree with another speaker provided their respective entailed propositions feature (in)compatible non-doxastic attitudes. Although this explanation is similar to hybrid accounts that are currently growing in popularity, it departs from them in some notable respects. (shrink)

Dynamic Predicate Logic (DPL) is a variant of Predicate Logic introduced by Groenendijk and Stokhof. One rationale behind the introduction of DPL is that it is closer to Natural Language than ordinary Predicate Logic in the way it treats scope.In this paper I develop some variants of DPL that can more easily approximate Natural Language in some further aspects. Specifically I add flexibility in the treatment of polarity and and some further flexibility in the treatment of scope.I develop a framework (...) that is intended to encourage further experimentation with alternative variants of DPL. In this framework the new meanings are, roughly,indexed sets of old meanings. The indices can be viewed as "files'' or "storage devices.''Each such file supports a separate "information stream.''The interaction of the new meanings is "programmed'' with the help of certain monoids acting on the indices. The construction of the new meanings can be viewed as an application of the Grothendieck Construction to monoids. (shrink)

Revised and reprinted in Handbook of Philosophical Logic, volume 10, Dov Gabbay and Frans Guenthner (eds.), Dordrecht: Kluwer, (2003). -- Two sorts of property theory are distinguished, those dealing with intensional contexts property abstracts (infinitive and gerundive phrases) and proposition abstracts (‘that’-clauses) and those dealing with predication (or instantiation) relations. The first is deemed to be epistemologically more primary, for “the argument from intensional logic” is perhaps the best argument for the existence of properties. This argument is presented in the (...) course of discussing generality, quantifying-in, learnability, referential semantics, nominalism, conceptualism, realism, type-freedom, the first-order/higher-order controversy, names, indexicals, descriptions, Mates’ puzzle, and the paradox of analysis. Two first-order intensional logics are then formulated. Finally, fixed-point type-free theories of predication are discussed, especially their relation to the question whether properties may be identified with propositional functions. (shrink)

Revised and reprinted; originally in Dov Gabbay & Franz Guenthner (eds.), Handbook of Philosophical Logic, Volume IV. Kluwer 133-251. -- Two sorts of property theory are distinguished, those dealing with intensional contexts property abstracts (infinitive and gerundive phrases) and proposition abstracts (‘that’-clauses) and those dealing with predication (or instantiation) relations. The first is deemed to be epistemologically more primary, for “the argument from intensional logic” is perhaps the best argument for the existence of properties. This argument is presented in the (...) course of discussing generality, quantifying-in, learnability, referential semantics, nominalism, conceptualism, realism, type-freedom, the first-order/higher-order controversy, names, indexicals, descriptions, Mates’ puzzle, and the paradox of analysis. Two first-order intensional logics are then formulated. Finally, fixed-point type-free theories of predication are discussed, especially their relation to the question whether properties may be identified with propositional functions. (shrink)

Schurz draws on modern alethic- deontic predicate logic to address the venerable yet enduring problem of whether what ought to be can be derived from what is. After two extensive introductory chapters supplying the background in philosophy and logic to readers unfamiliar with it, he examines such dimensions as the logical explication of Hume's thesis, the special Hume thesis, weakened versions of it, generalizations, some applications to ethical arguments, problems of identity and existence, whether there are analytic bridge principles, and (...) whether they are scientifically justifiable. The inquiry is expanded from Part II of his 1989 Relevant Deduction in Science and Ethics with a Case Study of the Is-Ought Problem. No index. Annotation copyrighted by Book News, Inc., Portland, OR. (shrink)

Some propositional attitude verbs require that the complement contain some “subjective predicate”. In terms of the theory proposed by Lasersohn, these verbs would seem to identify the “judge” of the embedded proposition with the matrix subject, and there have been suggestions in this direction. I show that it is possible to analyze these verbs as setting the judge and doing nothing more; then according to whether a judge index or a judge argument is assumed, unless the complement contains a subjective (...) predicate, the whole matrix is redundant or there is a type conflict. I further show that certain clear facts argue for assuming a judge argument which can be filled by a contextually salient entity–or by the subject of a subjective attitude verb. (shrink)

In Natural propositions (2014), Stjernfelt contends that the interpretation of a proposition or dicisign requires the joint action of two kinds of signs. A proposition must contain a sign that conveys a general quality. This function can be served by a similarity-based icon or code-based symbol. In addition, a proposition must situate or apply this general quality, so that the predication can become liable of being true or false. This function is served by an index. Stjernfelt rightly considers the co-localization (...) of these two parts to be a primitive phenomenon. Although this primitive character would seem to bar any further analysis, I endeavor to clarify the degree of proximity sufficient to enable co-localization. Siding with Pietarinen (2014), who argues that the whole issue should not be construed in metric terms, I conclude that one cannot make sense of propositional co-localization without appealing to some form of first-person perspective. (shrink)

Here are crucial data for any theory of the self, self-consciousness or the structure of experience. We discuss the fundamental structure of both indexical reference, especially first-term reference, and quasi-indexical reference, used in attributing first-person reference to others. Chisholm's ingenious account of direct awareness of self is tested against the two sets of data. It satisfies neither. Chisholm's definitions raise serious questions both about philosophical methodology and about the underlying ontology of individuation, identity, and predication. Chisholm's adverbial account (...) of non-physical contents of consciousness is also examined; several questions are raised about the possible success of the linguistic technique of ontological reduction by hyphenation and creation of grammatical devices. (shrink)