We introduce a notion of syntactical truth predicate (s.t.p.) for the second order arithmetic PA 2 . An s.t.p. is a set T of closed formulas such that: (i) T(t = u) if and only if the closed first order terms t and u are convertible, i.e., have the same value in the standard interpretation (ii) T(A → B) if and only if (T(A) $\Longrightarrow$ T(B)) (iii) T(∀ x A) if and only if (T(A[x ← t]) for any (...) closed first order term t) (iv) T(∀ X A) if and only if (T(A[X ←▵]) for any closed set definition $\triangle = \{x \mid D(x)\}$ ). S.t.p.'s can be seen as a counterpart to Tarski's notion of (model-theoretical) validity and have main model properties. In particular, their existence is equivalent to the existence of an ω-model of PA 2 , this fact being provable in PA 2 with arithmetical comprehension only. (shrink)

This paper argues that truth predicates in natural language and their variants, predicates of correctness, satisfaction and validity, do not apply to propositions (not even with 'that'-clauses), but rather to a range of attitudinal and modal objects. As such natural language reflects a notion of truth that is primarily a normative notion of correctness constitutive of representational objects. The paper moreover argues that 'true' is part of a larger class of satisfaction predicates whose semantic differences are best accounted (...) for in terms of a truthmaker theory along the lines of Fine's recent truthmaker semantics. (shrink)

In this article I contrast in two ways those conceptions of semantic theory deriving from Richard Montague's Intensional Logic (IL) and later developments with conceptions that stick pretty closely to a far weaker semantic apparatus for human first languages. IL is a higher-order language incorporating the simple theory of types. As such, it endows predicates with a reference. Its intensional features yield a conception of propositional identity (namely necessary equivalence) that has seemed to many to be too coarse to be (...) acceptable. In the most usual expositions, it takes the object of linguistic explication to be the sentence in a context, as in Kaplan, 1977. This last has led to recent speculations about 'shifted' contexts. IL may be contrasted with a more linguistically (representationally) bound conception of propositions and interpretation of their predicational and functional parts, and with the explication, not of sentences in contexts, but of potential utterances, relative to the antecedent referential intentions of their speakers. We may then advance, as an empirical hypothesis about all human languages, that contexts never shift, and propose that apparent counterexamples stem from the misconstrual of linguistically coded anaphoric relations, relations that are wanted independently anyway. Donald Davidson's posthumous volume Truth and Predication mounts a sustained criticism of the notion of predicate reference. This criticism is not decisive. However, it may put the ball in the other court, insofar as it asks for a justification of what IL takes as given. Elaborations of IL using structured propositions, recently defended in King, 2007, recognize the problem of predicate reference, and the correlative issue of the 'unity of the proposition'; but I do not see that they can do better than bite the bullet already bitten in IL. I agree with Frege's insight that full justification of predicate reference pushes the boundaries of natural language, and to that extent may not be found within the semantic (as opposed to general scientific) enterprise. (shrink)

This takes a closer look at the actual semantic behavior of apparent truth predicates in English and re-evaluates the way they could motivate particular philosophical views regarding the formal status of 'truth predicates' and their semantics. The paper distinguishes two types of 'truth predicates' and proposes semantic analyses that better reflect the linguistic facts. These analyses match particular independently motivated philosophical views.

In truth theory one aims at general formal laws governing the attribution of truth to statements. Gupta’s and Belnap’s revision-theoretic approach provides various well-motivated theories of truth, in particular T* and T#, which tame the Liar and related paradoxes without a Tarskian hierarchy of languages. In property theory, one similarly aims at general formal laws governing the predication of properties. To avoid Russell’s paradox in this area a recourse to type theory is still popular, as testified by (...) recent work in formal metaphysics by Williamson and Hale. There is a contingent Liar that has been taken to be a problem for type theory. But this is because this Liar has been presented without an explicit recourse to a truth predicate. Thus, type theory could avoid this paradox by incorporating such a predicate and accepting an appropriate theory of truth. There is however a contingent paradox of predication that more clearly undermines the viability of type theory. It is then suggested that a type-free property theory is a better option. One can pursue it, by generalizing the revision-theoretic approach to predication, as it has been done by Orilia with his system P*, based on T*. Although Gupta and Belnap do not explicitly declare a preference for T# over T*, they show that the latter has some advantages, such as the recovery of intuitively acceptable principles concerning truth and a better reconstruction of informal arguments involving this notion. A type-free system based on T# rather than T* extends these advantages to predication and thus fares better than P* in the intended applications of property theory. (shrink)

I here respond to Pietro Salis’s objections against my original critique of the Prosentential Theory of Truth. In addition, I clarify some points regarding the relationship between anaphoric relationships and “general semantic notions” like “equivalence”, “consequence”, and “sameness of content”, and make some further points about ’s ability gto explain pragmatic and expressive features of “true”.

I begin with an exposition of the two main variants of the Prosentential Theory of Truth (PT), those of Dorothy Grover et al. and Robert Brandom. Three main types of criticisms are then put forward: (1) material criticisms to the effect that (PT) does not adequately explain the linguistic data, (2) an objection to the effect that no variant of (PT) gives a properly unified account of the various occurrences of "true" in English, and, most importantly, (3) a charge (...) that the comparison with proforms is explanatorily idle. The last objection is that, given a complete semantic account of pronouns, proadjectives, antecedents, etc., together with a complete (PT), the essential semantic character of "true" could be deduced, but then, the idleness of the comparison with pronouns would be apparent. It turns out that objections (2) and (3) are related in the following way: the prosentential terminology is held to conceal the lack of unity in (PT), by describing the different data in the same terms ("proform", "antecedent", etc.). But this, I argue, is only a way of truly describing, rather than explaining, the data, these being certain relations of equivalence and consequence between sentences. I consider a language for which (PT) would be not only true, but also explanatory, but note that this language is very different from English. I end by showing that Robert Brandom's case that "is true" is not a predicate fails, and that his motivation for saying so is based on fallacious reasoning (namely, Boghossian's argument against deflationism). (shrink)

One way to study and understand the notion of truth is to examine principles that we are willing to associate with truth, often because they conform to a pre-theoretical or to a semi-formal characterization of this concept. In comparing different collections of such principles, one requires formally precise notions of inter-theoretic reduction that are also adequate to compare these conceptual aspects. In this work I study possible ways to make precise the relation of conceptual equivalence between notions of (...) truth associated with collections of principles of truth. In doing so, I will consider refinements and strengthenings of the notion of relative truth-definability proposed by Fujimoto (2010): in particular I employ suitable variants of notions of equivalence of theories considered in Visser (2006) and Friedman & Visser (2014) to show that there are better candidates than mutual truth-definability for the role of sufficient condition for conceptual equivalence between the semantic notions associated with the theories. In the concluding part of the paper, I extend the techniques introduced in the first and show that there is a precise sense in which ramified truth (either disquotational or compositional) does not correspond to iterations of comprehension. (shrink)

§1. Introduction. The problem raised by the liar paradox has long been an intriguing challenge for all those interested in the concept of truth. Many “solutions” have been proposed to solve or avoid the paradox, either prescribing some linguistical restriction, or giving up the classical true-false bivalence or assuming some kind of contextual dependence of truth, among other possibilities. We shall not discuss these different approaches to the subject in this paper, but we shall concentrate on a kind (...) of formal construction which was originated by Kripke's paper “Outline of a theory of truth” [11] and which, in different forms, reappears in later papers by various authors.The main idea can be presented as follows: assume a first order language ℒ containing, among other unspecified symbols, a predicate symbolTintended to represent the truth predicate for ℒ. Assume, also, a fixed modelM= 〈D, I〉 whereDcontains all sentences of ℒ andIinterprets all non-logical symbols of ℒ exceptTin the usual way. In general,Dmight contain many objects other than sentences of ℒ but as that would raise the problem of the meaning of sentences in whichTis applied to one of these objects, we shall assume that this is not the case. (shrink)

Tarski's indefinability theorem shows us that truth is not definable in arithmetic. The requirement to define truth for a language in a stronger language (if contradiction is to be avoided) lapses for particularly weak languages. A weaker language, however, is not necessary for that lapse. It also lapses for an adequately weak theory. It turns out that the set of G{\"o}del numbers of sentences true in arithmetic modulo $n$ is definable in arithmetic modulo $n$.

In reply to Geach's objection against expressivism, some have claimed that there is a plurality of truth predicates. I raise a difficulty for this claim: valid inferences can involve sentences assessable by any truth predicate, corresponding to 'lightweight' truth as well as to 'heavyweight' truth. To account for this, some unique truth predicate must apply to all sentences that can appear in inferences. Mixed inferences remind us of a central platitude about truth: (...) truth is what is preserved in valid inferences. The question is why we should postulate truth predicates that do not satisfy this platitude. (shrink)

In the explanations of logical laws and inference rules of the mature version of Begriffsschrift in Grundgesetze, Frege uses the predicate “… is the True.” Scholars like Greimann maintain that this predicate is a metalinguistic truth-predicate for Frege. This paper examines an argument for this claim that is based on the “nominal reading” of Frege’s conception of sentences—the claim that for Frege a sentence “p” is equivalent to a nonsentential phrase like “the truth-value of the (...) thought that p.” In particular, this paper attempts to establish two points concerning this argument based on the nominal reading. First, the argument implies a claim about the nature of assertion which Frege repeatedly denies in his mature works. Secondly, the nominal reading on which the argument depends is false. A sentence “p” is not equivalent to a nonsentential phrase like “the truth-value of the thought that p” for Frege. Our discussion will lead to an important lesson about Frege’s conception of sentences and of assertion. (shrink)

Correspondence theories are frequently charged with being either implausible -- metaphysically troubling and overly general -- or trivial -- collapsing into deflationism's "'P' is true iff P." Philip Kitcher argues for a "modest" correspondence theory, on which reference relations are causal relations, but there is no general theory of denotation. In this paper, I start by showing that, understood this way, "modest" theories are open to charges of triviality. I then offer a refinement of modesty, and take the first steps (...) toward articulating a modest correspondence theory, giving a particular account of the relation between predicates, properties, and extensions. Finally, I argue that my account does not collapse into a deflationary one. (shrink)

"Davidson begins by harking back to an early interest in the classics, and an even earlier engagement with the workings of grammar. In the pleasures of diagramming sentences in grade school, he locates his first glimpse into the mechanics of how we conduct the most important activities in our life - such as declaring love, asking directions, issuing orders, and telling stories. Davidson connects these essential questions with the most basic and yet hard to understand mysteries of language use - (...) how we connect noun to verb. This is a problem that Plato and Aristotle wrestled with, and Davidson draws on their thinking to show how an understanding of linguistic behavior is critical to the formulating of a workable concept of truth. Against a whole army of contemporary philosophers, Davidson argues that the concept of truth is not ambiguous.". (shrink)

Antirealism about the past is apparently in conflict with our acceptance of a set of systematic linkages between the truth-values of differently tensed sentences made at different times. Arguments based on acceptance of these so-called truth-value links seem to show that fully accounting for our use of the past and future tenses will involve use of a notion of truth which is not epistemically constrained and is thus antirealistically unacceptable. I elaborate these difficulties through an examination of (...) work by Dummett and Wright. I agree with Wright's rejection of Dummett's proposal but go on to argue that Wright's account fares no better. Building on what I take to be the failure of Wright's account, I offer a solution for the antirealist which diagnoses the problem as stemming from an equivocation in the meanings assigned to the tensed truth predicates. I close by raising a different problem for antirealist accounts of the past, one which is, however, related to more general difficulties for antirealist theories of meaning. (shrink)

In this paper I am concerned with the semantic analysis of sentences of the form 'It is true that p'. I will compare different proposals that have been made to analyse such sentences and will defend a view that treats this sentences as a mere sytactic variation of sentences of the form 'That p is true'.

Is relativism about truth ever a coherent doctrine? Some people have argued that an answer to this question depends on whether there can be cases of genuine disagreement where those who disagree hold conflicting beliefs towards the same proposition and yet are each entitled to say that what they believe is true. These have been called cases of faultless disagreement and are often explored by considering the case of disagreements about taste. However, this is not the right way to (...) formulate the relativist’s doctrine, and the discussions of taste are often based on a faulty view about the nature of taste and about the workings of predicates of taste. I examine the taste case in more detail and consider the prospects for a genuine form of truth relativism. (shrink)

'There is much food for thought in McGinn's discussions and each chapter is rich with a series of considerations for thinking that the currently received views on the various topics have some serious difficulties that need confronting... For those interested in metaphysics and the philosophy of logic, this book will stimulate much further thought' -Mind 'The sweep of the book is broad and the pace is brisk... There is much material here to provide the basis for many a deep philosophical (...) discussion' -Mind 'Lucid and provocative little book... clear, direct and well argued' -Times Higher Education SupplementIdentity, existence, predication, necessity, and truth are fundamental philosophical concerns. Colin McGinn treats them both philosophically and logically, aiming for maximum clarity and minimum pointless formalism. He contends that there are real logical properties that challenge naturalistic metaphysical outlooks. These concepts are not definable, though we can say a good deal about how they work. The aim of Logical Properties is to bring philosophy back to philosophical logic. (shrink)

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)

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)

In this paper I try to show that semantics can explain word-to-world relations and that sentences can have meanings that determine truth-conditions. Critics like Chomsky typically maintain that only speakers denote, i.e., only speakers, by using words in one way or another, represent entities or events in the world. However, according to their view, individual acts of denotations are not explained just by virtue of speakers’ semantic knowledge. Against this view, I will hold that, in the typical cases considered, (...) semantic knowledge can account for the denotational uses of words of individual speakers. (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.

Presents a philosophical model of partially defined predicates, illustrates how a language could come to contain them, and provides a natural way of understanding the truth predicate in which it conforms to this model. On this view, there are sentences, including Liar sentences like this sentence is not true and “Truth Tellers” like This sentence is true, about which the rules determining whether or not a sentence is true provide no result – thereby blocking the usual derivation (...) of the paradox. However, despite these promising results, it is shown that a general solution to the Liar paradox is not forthcoming, since the very activity of solving the paradox in a particular limited case provides material for recreating it in a new and strengthened form. In the second half of the chapter, it is argued that this philosophical model provides the best way of understanding Saul Kripke's formal theory of truth. In addition to laying out the philosophical basis for Kripke's theory of truth, explanations are given of his basic technical apparatus and formal results – including fixed points, minimal fixed points, monotonicity, intrinsic fixed points, ungrounded sentences, and paradoxical sentences. (shrink)

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)

Identity, existence, predication, necessity, and truth are fundamental philosophical concerns. Colin McGinn treats them both philosophically and logically, aiming for maximum clarity and minimum pointless formalism. He contends that there are real logical properties that challenge naturalistic metaphysical outlooks. These concepts are not definable, though we can say a good deal about how they work. The aim of Logical Properties is to bring philosophy back to philosophical logic.

Is relativism about truth ever a coherent doctrine? Some people have argued that an answer to this question depends on whether there can be cases of genuine disagreement where those who disagree hold confl icting beliefs towards the same proposition and yet are each entitled to say that what they believe is true. These have been called cases of faultless disagreement and are often explored by considering the case of disagreements about taste. However, this is not the right way (...) to formulate the relativist’s doctrine, and the discussions of taste are often based on a faulty view about the nature of taste and about the workings of predicates of taste. I examine the taste case in more detail and consider the prospects for a genuine form of truth relativism. Key words: relativism, truth, taste, predicates of taste. (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)

In the paper we survey the known connections between theories that extend a common base theory with typed truth axioms on the one hand and predicative set-existence assumptions on the other. How general can the mutual reductions between truth and comprehension be taken to be? In trying to address this question, we consider classical, positive truth and predicative comprehension as operations on theories.

In Pure Inductive Logic, the rational principle of Predicate Exchangeability states that permuting the predicates in a given language L and replacing each occurrence of a predicate in an L-sentence phi according to this permutation should not change our belief in the truth of phi. In this paper we study when a prior probability function w on a purely unary language L satisfying Predicate Exchangeability also satisfies the principle of Unary Language Invariance.

Sainsbury argued that exact extensions for predicates entails the unacceptable infinite tower of higher order vagueness so that exact extensions must be rejected. I offer a second argument: The exact extensions arise when semantic values are assumed to be (exact) properties. But no assignment of unique properties to predicates could arise from any real-world finite basis. How, then, is talk of properties as semantic values to be understood? We distinguish the precise compositional rules of semantics from the operation of messy, (...) imprecise rules at the word/world interface for applicability of minimal predicates. When such application is sufficiently clear it is idealized as property instantiation and semantic composition proceeds in familiar ways. These imprecise rules for application of minimal predicates provide the proper locus for study of vagueness. The conclusions thus far apply to show that higher order vagueness is not forced and that classical logic can generally be retained. I discuss implications for the sorites paradox. Abandoning properties entails abandoning simple correspondence truth understood as Pa is true just in case a has the property signified by P. As an alternative I outline a pragmatist approach to truth, the spirit of which is conveyed by the slogan, “To be true enough is to work well enough.”. (shrink)

While sets are combinatorial collections, defined by their elements, classes are logical collections, defined by their membership conditions. We develop, in a potentialist setting, a predicative approach to (logical) classes of (combinatorial) sets. Some reasons emerge to adopt a stricter form of potentialism, which insists, not only that each object is generated at some stage of an incompletable process, but also that each truth is “made true” at some such stage. The natural logic of this strict form of potentialism (...) is semi-intuitionistic: where each set-sized domain is classical, the domain of all sets or all classes is intuitionistic. (shrink)

The aim of this short book is to discuss the traditional topics of philosophical logic without the “formalistic fetishism and scholasticism” that McGinn associates with recent work in the field. The writing is indeed crisp, engaging, and free of formalisms. The book consists of five separate essays—one each on identity, existence, predication, necessity, and truth—loosely united by the general theme that these “logical properties” are real and irreducible. “These concepts,” McGinn says, “form a conceptual bedrock; they stand, as it (...) were, underneath all our other concepts. They have no analysis”. (shrink)

ABSTRACTWide-ranging semantic flexibility is often considered a magic cure for contextualism to account for all kinds of troubling data. In particular, it seems to offer a way to account for our intuitions regarding embedded perspectival sentences. As has been pointed out by Lasersohn [2009. “Relative Truth, Speaker Commitment, and Control of Implicit Arguments.” Synthese 166 : 359â374], however, the semantic flexibility does not present a remedy for all kinds of embeddings. In particular, it seems ineffective when it comes to (...) embeddings under operators with truth evaluative adverbs such as ‘correctly believes that’ and ‘incorrectly believes that’ and under factive verbs. This paper takes a closer look at the problematic embedding data with respect to predicates of personal taste. It argues that there is indeed no semantic solution for contextualism but a pragmatic way out. (shrink)

In this paper, we suggest a strategy for modelling cognitive context within a truth‐conditional semantics, using Asher's model of predication. This allows us to introduce the notion of type presupposition intended as a lexical constraint to the composition of the truth‐conditional content. More specifically, we suggest that this model of predication produces a notion of truth‐conditional meaning where the cognitive context fixes a set of lexical restrictions and forced modifications. We conclude that this model might offer an (...) intermediate position between Minimalism and Contextualism: an account that provides intuitive truth conditions within a formal semantic theory. (shrink)

The central questions addressed in this paper are: (1) how are forms related to predication? And (2) what role do forms and predication play in the discovery and articulation of truth? The first section of the paper provides—in broad strokes—a synopsis of Plato’s account of forms. The second section considers predication in relation to forms showing that the existence and nature of forms is a necessary condition for predication, and that Plato’s account of predication is consistent with, in fact, (...) anticipates, Aristotle’s treatment of reality in the Categories. The conclusion of the paper is that forms and predication are central to philosophical hermeneutics, to the discovery and articulation of truth. (shrink)

A natural approach to representing and reasoning about temporal propositions (i.e., statements with time-dependent truth-values) is to associate them with time elements. In the literature, there are three choices regarding the primitive for the ontology of time: (1) instantaneous points, (2) durative intervals and (3) both points and intervals. Problems may arise when one conflates different views of temporal structure and questions whether some certain types of temporal propositions can be validly and meaningfully associated with different time elements. In (...) this paper, we shall summarize an ontological glossary with respect to time elements, and diversify a wider range of meta-predicates for ascribing temporal propositions to time elements. Based on these, we shall also devise a versatile categorization of temporal propositions, which can subsume those representative categories proposed in the literature, including that of Vendler, of McDermott, of Allen, of Shoham, of Galton and of Terenziani and Torasso. It is demonstrated that the new categorization of propositions, together with the proposed range of meta-predicates, provides the expressive power for modeling some typical temporal terms/phenomena, such as starting-instant, stopping-instant, dividing-instant, instigation, termination and intermingling etc. (shrink)

In this volume, the author investigates and argues for, a particular answer to the question: What is the right way to logically analyze modalities from natural language within formal languages? The answer is: by formalizing modal expressions in terms of predicates. But, as in the case of truth, the most intuitive modal principles lead to paradox once the modal notions are conceived as predicates. -/- The book discusses the philosophical interpretation of these modal paradoxes and argues that any satisfactory (...) approach to modality will have to face the paradoxes independently of the grammatical category of the modal notion. By systematizing modal principles with respect to their joint consistency and inconsistency, Stern provides an overview of the options and limitations of the predicate approach to modality that may serve as a useful starting point for future work on predicate approaches to modality. Stern also develops a general strategy for constructing philosophically attractive theories of modal notions conceived as predicates. The idea is to characterize the modal predicate by appeal to its interaction with the truth predicate. This strategy is put to use by developing the modal theories Modal Friedman-Sheard and Modal Kripke-Feferman. (shrink)

Davidson aimed to explain predication in terms of truth. I explain what is distinctive about his approach by contrasting it with the widely held view that predication and truth must both be explained in terms of the properties of propositions. I consider Davidson's arguments against this propositionalist alternative, and conclude by exploring some commonalities between Davidson's approach and the more recent propositionalist views of King and Soames.

What is it for predicates to mean what they do and what is their contribution to the meaning of an utterance? It is exactly this question to which Davidson dedicates his book Truth and Predication. Most commentators focus on Davidson’s discussion of failed accounts, in particular of Frege’s account. In contrast to this tendency, I focus here on Davidson’s own account. The structure is as follows. First, I sketch the problem of predication and I glance at Davidson’s discussion of (...) failed accounts. Then I present his solution and integrate it in his theory of interpretation, thereby bringing out the particularity of the account. In doing so I shall scru- tinize some criticisms as well, for as I intend to show, they originate from a wrong understanding of his com- prehensive theory of interpretation. (shrink)

This clearly written book makes logic interesting and easier to learn without sacrificing content or rigor. It covers symbolization, proofs, counterexamples, and truth trees. These topics are presented in graded steps, beginning with the symbolization of categorical propositions and concluding with the properties of relations. Logic is applied to materials with which readers will be familiar; both examples and exercises are drawn from newspapers, television, and other popular sources. For individuals intrigued by the formal study of logic.

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)

Realists take truth seriously, but what does realism require? Misguided commitment to a certain principle,, has led philosophers down the garden path. According to predicates applying truly to objects do so by virtue of naming properties possessed by those objects and by every object to which they would apply. I provide reasons to reject and thus to forego the hierarchical worldview apparently implies.

When, for example, we say of something that it ‘is an object’, or ‘is an event’, or ‘is a property’, we are engaging in categorial predication: we are assigning something to a certain ontological category. Ontological categorization is clearly a type of classification, but it differs radically from the types of classification that are involved in the taxonomic practices of empirical sciences, as when a physicist says of a certain particle that it ‘is an electron’, or when a zoologist says (...) of a certain animal that it ‘is a mammal’, or when a meteorologist says of a certain weather‐phenomenon that it ‘is a hurricane’. Classifications of the latter types presuppose that the items being classified have already been assigned to appropriate ontological categories, such as the categories of object, species, or event. What do categorial predications mean? How are their truth‐conditions to be determined, and how can those truth‐conditions be known to be satisfied? Do they have truthmakers? Questions like these are amongst those addressed in the present paper. (shrink)

We construct a framework of two-dimensional (2D) semantics for predicate-functor languages with operation symbols and free variables. We show how the satisfaction conditions (at a world) of predicates are determined by their meaning specifications (at the same world or at a different one).

Relative essentialism is the novel metaphysical theory that there can be multiple objects occupying the same space at the same time each with its own de re modal truths. Relative essentialism is motivated by Davidson’s semantics and his denial that nature itself is divided into a privileged domain of objects. Relative essentialism was first presented by Samuel C. Wheeler. I argue that Wheeler’s approach to the Davidsonian program needs to be elaborated in terms of various types of preconceptual intentional relations. (...) This elaboration is already largely implicit in Davidson’s own later work and in Wheeler’s relaunching of Davidsonian metaphysics. More specifically, I argue that relative essentialism is ultimately founded not on predication narrowly construed but on intentionality broadly construed. Following Wheeler’s suggestion, comparisons are made between relative essentialism and work within the phenomenological tradition. (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)