Donald Davidson was one of the most influential philosophers of the last half of the 20th century, especially in the theory of meaning and in the philosophy of mind and action. In this paper, I concentrate on a field-shaping proposal of Davidson’s in the theory of meaning, arguably his most influential, namely, that insight into meaning may be best pursued by a bit of indirection, by showing how appropriate knowledge of a finitely axiomatized truth theory for a language can (...) put one in a position both to interpret the utterance of any sentence of the language and to see how its semantically primitive constituents together with their mode of combination determines its meaning (Davidson 1965, 1967, 1970, 1973a). This project has come to be known as truth-theoretic semantics. My aim in this paper is to render the best account I can of the goals and methods of truth-theoretic semantics, to defend it against some objections, and to identify its limitations. Although I believe that the project I describe conforms to the main idea that Davidson had, my aim is not primarily Davidson exegesis. I want to get on the table an approach to compositional semantics for natural languages, inspired by Davidson, but extended and developed, which I think does about as much along those lines as any theory could. I believe it is Davidson’s project, and I defend this in detail elsewhere (Ludwig 2015; Lepore and Ludwig 2005, 2007a, 2007b, 2011). But I want to develop and defend the project while also exploring its limitations, without getting entangled in exegetical questions. (shrink)

The work of Donald Davidson (1917-2003) transformed the study of meaning. Ernie Lepore and Kirk Ludwig, two of the world's leading authorities on Davidson's work, present the definitive study of his widely admired and influential program of truth-theoretic semantics for natural languages, giving an exposition and critical examination of its foundations and applications.

This book explores linguistic and philosophical issues presented by sentences expressing personal taste, such as Roller coasters are fun, or Licorice is tasty. Standard semantic theories explain the meanings of sentences by specifying the conditions under which they are true; here, Peter Lasersohn asks how we can account for sentences that are concerned with matters of opinion rather than matters of fact. He argues that a truth-theoretic semantic theory is appropriate even for sentences like these, but that for (...) such sentences, truth and falsity must be assigned relative to perspectives, rather than absolutely. The book provides a detailed and explicit formal grammar, working out the implications of this conception of truth both for simple sentences and for reports of mental attitude. The semantic analysis is paired with a pragmatic theory explaining what it means to assert a sentence which is true or false only relativistically, and with a speculative account of the functional motivation for a relativized notion of truth. (shrink)

This book is an examination of the foundations and applications of the program of truth-theoretic semantics for natural languages introduced in 1967 by Donald Davidson in his classic paper “Truth and Meaning.” This is the second of two books on Donald Davidson’s central philosophical project. The first, Donald Davidson: Meaning, Truth, Language and Reality (Oxford: Oxford University Press, 2005), dealt with the basic framework of Davidson’s truth-theoretic approach to providing a meaning theory for (...) a natural language, and then with his development of his general project in the philosophy of language and theory of meaning by way of the analysis of the empirical confirmation of a meaning theory for a speaker, from the stance of the radial interpreter, that is, the interpreter who starts out without any detailed knowledge of the speakers’ meanings or attitudes. This book turns to the development of details of Davidson’s semantic program, specifically, the pursuit of the project of providing a compositional semantic theory for natural languages by making strategic use of an appropriately adapted Tarski-style axiomatic truth theory. Such a theory aims to provide a specification of the truth conditions of any felicitous utterance of a natural language sentence which serves to interpret it, and exhibits in the proof of the theorem that gives the truth conditions the compositional structure of the sentence and how its truth depends on its context of utterance. The book develops the basic framework, applies it to quantifiers, proper names, indexicals, simple and complex demonstratives, quotation, adjectives and adverbs, simple tenses of state and event verbs, temporal adverbs and quantifiers, tense in sentential complements and perfect tenses, opaque contexts, especially indirect discourse and attitude sentences, non-declarative sentences, semantic structure and logical form, and discusses the relation of the framework the metaphysics of truth. (shrink)

The paper examines some doctrines of the Davidsonian Programme of truth conditional Semantics that relates truth to meaning using Tarski’s T-Convention, in relation to its efficacy in a semantic valuation of the EkeGusii proverb: Nda ’indongi ereta morogi ereta moibi which exemplifies a kind of complex sentence that a given system of Semantics is meant to account for. The coverage of Davidsonian truth-conditional notion of T-convention and that of compositionality are considered to have only a (...) partial reach in accounting for the meaning of the proverb by not incorporating pragmatic aspects. The failure of T-convention is not alleviated by the adoption of radical interpretation as posited by Davidson but is extended to consider aspects of pragmatic enrichment and dynamic Semantics. (shrink)

Deflationism about truth is often said to be incompatible with truth-theoretic semantics. However, both of these labels are ambiguous, making the truth of the incompatibility claim dependent on interpretation. I provide one pair of natural interpretations, on which both views relate essentially to grounding and on which they are indeed incompatible. This result has some intrinsic interest as well as paving the way for further needed clarifications in the debate about the relationship between the views.

This paper deals with a collection of concerns that, over a period of time, led the author away from the Routley–Meyer semantics, and towards proof- theoretic approaches to relevant logics, and indeed to the weak relevant logic MC of meaning containment.

This chapter contains sections titled: Recent Relativism Standard Semantics and Ordinary Truth Relativist Semantics and Ordinary Truth Issues of Commensurability References.

In recent writings Paul Horwich has pursued two related aims: (i) To show “how small a constraint is provided by compositionality” (Horwich 1998, chapter 7, p. 183). “The compositionality of meaning imposes no constraint at all on how the meaning properties of words are constituted” (p. 154). (ii) To present a deflationary alternative to the “Davidsonian truth-theoretic perspective” (Horwich 2001) The paper has three sections: in section 1 I make some comments on compositionality, in section 2 I argue (...) that Horwich does not succeed in achieving aim (i), and in section 3 I argue that he does not succeed either in achieving aim (ii). (shrink)

According to cognitivist truth-theoretic accounts of semantic competence, aspects of our linguistic behavior can be explained by ascribing to speakers cognition of truth theories. It's generally assumed on this approach that, however much context sensitivity speakers' languages contain, the cognized truththeories themselves can be adequately characterized context insensitively—that is, without using in the metalanguage expressions whose semantic value can vary across occasions of utterance. In this paper, I explore some of the motivations for and problems and consequences (...) of dropping this assumption. (shrink)

The paper presents a proof-theoretic semantics (PTS) for a fragment of natural language, providing an alternative to the traditional model-theoretic (Montagovian) semantics (MTS), whereby meanings are truth-condition (in arbitrary models). Instead, meanings are taken as derivability-conditions in a dedicated natural-deduction (ND) proof-system. This semantics is effective (algorithmically decidable), adhering to the meaning as use paradigm, not suffering from several of the criticisms formulated by philosophers of language against MTS as a theory of meaning. In (...) particular, Dummett’s manifestation argument does not obtain, and assertions are always warranted, having grounds of assertion. The proof system is shown to satisfy Dummett’s harmony property, justifying the ND rules as meaning conferring. The semantics is suitable for incorporation into computational linguistics grammars, formulated in type-logical grammar. (shrink)

From the point of view of proof-theoretic semantics, it is argued that the sequent calculus with introduction rules on the assertion and on the assumption side represents deductive reasoning more appropriately than natural deduction. In taking consequence to be conceptually prior to truth, it can cope with non-well-founded phenomena such as contradictory reasoning. The fact that, in its typed variant, the sequent calculus has an explicit and separable substitution schema in form of the cut rule, is seen (...) as a crucial advantage over natural deduction, where substitution is built into the general framework. (shrink)

The paper briefly surveys the sentential proof-theoretic semantics for fragment of English. Then, appealing to a version of Frege’s context-principle (specified to fit type-logical grammar), a method is presented for deriving proof-theoretic meanings for sub-sentential phrases, down to lexical units (words). The sentential meaning is decomposed according to the function-argument structure as determined by the type-logical grammar. In doing so, the paper presents a novel proof-theoretic interpretation of simple type, replacing Montague’s model-theoretic type interpretation (in (...) arbitrary Henkin models). The domains of derivations are collections of derivations in the associated “dedicated” natural-deduction proof-system, and functions therein (with no appeal to models, truth-values and elements of a domain). The compositionality of the semantics is analyzed. (shrink)

Revenge arguments purport to show that any proposed solution to the semantic paradoxes generates new paradoxes that prove that solution to be inadequate. In this paper, I focus on revenge arguments that employ the model-theoretic semantics of a target theory and I argue, contra the current revenge-theoretic wisdom, that they can constitute genuine expressive limitations. I consider the anti-revenge strategy elaborated by Field and argue that it does not offer a way out of the revenge problem. More (...) generally, I argue that the difference between ‘standard’ and ‘revenge’ paradoxes is ill-conceived and should be abandoned. This will contribute to show that the theories that provide a uniform account of truth and other semantic notions are the ones best equipped to avoid the paradoxes altogether—‘standard’ and ‘revenge’ alike. (shrink)

Our aim in the present paper is to investigate, from the standpoint of truth-theoretic semantics, English tense, temporal designators and quantifiers, and other expressions we use to relate ourselves and other things to the temporal order. Truth-theoretic semantics provides a particularly illuminating standpoint from which to discuss issues about the semantics of tense, and their relation to thoughts at, and about, times. Tense, and temporal modifiers, contribute systematically to conditions under which sentences we (...) utter are true or false. A Tarski-style truth-theoretic semantics, by requiring explicitly represented truth conditions, helps to sharpen questions about the function of tense, and to deepen our insight into the contribution the tenses and temporal modifiers make to what we say by using them. (shrink)

In the early days of natural language semantics, Donald Davidson issued a challenge to those, like Richard Montague, who would do semantics in a model-theoretic framework that gives a central role to a model-relative notion of truth. Davidson argued that no theory of this kind can claim to be an account of real truth conditions unless it first makes clear how the relativized notion relates to our ordinary non-relativized notion of truth. In the 1990s, (...) Davidson’s challenge was developed by Etchemendy into an argument against the model-theoretic account of logical consequence, one that also threatens the attempt to capture natural language entailment relations in modeltheoretic terms—one of the central desiderata of semantics. Nevertheless, the modeltheoretic framework has flourished within natural language semantics. But it has flourished without any consensus among semanticists as to how to answer Davidson’s challenge. The aim of this essay is to develop an answer. I argue that model-theoretic semantics is best understood as model-based science: a semantics for a natural language is a scientific model of truth conditions. This makes good sense of the way model-theoretic tools are used in natural language semantics. And it allows us to answer Davidson’s challenge by showing how a theory that employs a relativized notion of truth manages to tell us about ordinary truth conditions. Moreover, I argue that it helps us see how semantics can provide genuine explanations for natural language entailment and other truth-conditional phenomena. (shrink)

Paraconsistent logics are the formal systems in which absurdities do not trivialise the logic. In this paper, we give Hintikka-style game theoretical semantics for a variety of paraconsistent and non-classical logics. For this purpose, we consider Priest’s Logic of Paradox, Dunn’s First-Degree Entailment, Routleys’ Relevant Logics, McCall’s Connexive Logic and Belnap’s four-valued logic. We also present a game theoretical characterisation of a translation between Logic of Paradox/Kleene’s K3 and S5. We underline how non-classical logics require different verification games and (...) prove the correctness theorems of their respective game theoretical semantics. This allows us to observe that paraconsistent logics break the classical bidirectional connection between winning strategies and truth values. (shrink)

The Tarskian notion of truth-in-a-model is the paradigm formal capture of our pre-theoretical notion of truth for semantic purposes. But what exactly makes Tarski’s construction so well suited for semantics is seldom discussed. In my Semantics, Metasemantics, Aboutness (OUP 2017) I articulate a certain requirement on the successful formal modeling of truth for semantics – “locality-per-reference” – against a background discussion of metasemantics and its relation to truth-conditional semantics. It is a requirement (...) on any formal capture of sentential truth vis-à-vis the interpretation of singular terms and it is clearly met by the Tarskian notion. In this paper another such requirement is articulated – “locality-per-application” – which is an additional requirement on the formal capture of sentential truth, this time vis-à-vis the interpretation of predicates. This second requirement is also clearly met by the Tarskian notion. The two requirements taken together offer a fuller answer than has been hitherto available to the question what makes Tarski's notion of truth-in-a-model especially well suited for semantics. (shrink)

The essence of the meaning of a declarative sentence is given by stating its truth conditions, and consequently semantics, the study of meaning, must include a theory of truth conditions. Such a theory must not only describe accurately the truth conditions of declarative sentences, it must also answer the question of when two sentences have the same truth conditions. The fundamental semantic relation of having the same truth conditions cannot be ignored by any reasonable (...) theory.This paper is an attempt to find a partial account of this relation by using game theoretical semantics as developed by Hintikka and his followers. The account given will establish a connection between this approach to semantics and the theory of firstdegree entailment formulated by Anderson and Belnap. (shrink)

In his Grundgesetze, §32, Frege launched the idea that the meaning of a sentence is given by its truth condition, or, in his particular version, the condition under which it will be a name of the True. This, indeed, was only one of the many roles in which truth has to serve within the Fregean system. In particular, truth is an absolute notion in the sense that bivalence holds: every Gedanke is either true or false, in complete (...) independence of any conative activity, whether by God or man. Thus various epistemological notions, such as the correctness of an assertion made, or judgement passed, are reducible to this absolute notion of truth: an assertion made through the utterance of a declarative sentence is correct when the proposition expressed by the sentence in question is true. Given this absolute status of truth it is not surprising that Frege is of the opinion that truth is a sui generis notion which has to be left unanalyzed and, indeed, which is indefinable. (shrink)

The paper presents a truth-maker semantics for Strict/Tolerant Logic (ST), which is the currently most popular logic among advocates of the non-transitive approach to paradoxes. Besides being interesting in itself, the truth-maker presentation of ST offers a new perspective on the recently discovered hierarchy of meta-inferences that, according to some, generalizes the idea behind ST. While fascinating from a mathematical perspective, there is no agreement on the philosophical significance of this hierarchy. I aim to show that there (...) is no clear philosophical significance of meta-inferences above the first level. (shrink)

Typical applications of Hintikka’s game-theoretical semantics give rise to semantic attributes—truth, falsity—expressible in the $\Sigma^{1}_{1}$-fragment of second-order logic. Actually a much more general notion of semantic attribute is motivated by strategic considerations. When identifying such a generalization, the notion of classical negation plays a crucial role. We study two languages, $L_{1}$ and $L_{2}$, in both of which two negation signs are available: $\rightharpoondown $ and $\sim$. The latter is the usual GTS negation which transposes the players’ roles, while (...) the former will be interpreted via the notion of mode. Logic $L_{1}$ extends independence-friendly logic; $\rightharpoondown $ behaves as classical negation in $L_{1}$. Logic $L_{2}$ extends $L_{1}$, and it is shown to capture the $\Sigma^{2}_{1}$-fragment of third-order logic. Consequently the classical negation remains inexpressible in $L_{2}$. (shrink)

We consider an approach to propositional synonymy in proof-theoretic semantics that is defined with respect to a bilateral G3-style sequent calculus \(\mathtt{SC2Int}\) for the bi-intuitionistic logic \(\mathtt{2Int}\). A distinctive feature of \(\mathtt{SC2Int}\) is that it makes use of two kind of sequents, one representing proofs, the other representing refutations. The structural rules of \(\mathtt{SC2Int}\), in particular its cut rules, are shown to be admissible. Next, interaction rules are defined that allow transitions from proofs to refutations, and vice versa, (...) mediated through two different negation connectives, the well-known implies-falsity negation and the less well-known coimplies-truth negation of \(\mathtt{2Int}\). By assuming that the interaction rules have no impact on the identity of derivations, the concept of inherited identity between derivations in \(\mathtt{SC2Int}\) is introduced and the notions of positive and negative synonymy of formulas are defined. Several examples are given of distinct formulas that are either positively or negatively synonymous. It is conjectured that the two conditions cannot be satisfied simultaneously. (shrink)

The paper offers a critical review of the role played by lexical meaning in the earlier stages of philosophical semantics and truth-conditional semantics. I shall address, both historically and theoretically, the relative neglect of lexical semantics within these fields, and argue that the approach to word meaning fostered in extensional frameworks is overall inconsistent with the customary assumption that truth-theoretic semantics can be considered a semantic theory proprio sensu.

I defend the view that linguistic meaning is a relation borne by an expression to a type of speech act, and that this relation holds in virtue of our overlapping communicative dispositions, and not in virtue of linguistic conventions. I argue that this theory gives the right account of the semantics–pragmatics interface and the best-available semantics for non-declarative clauses, and show that it allows for the construction of a rigorous compositional semantic theory with greater explanatory power than both (...) truth-conditional and dynamic semantics. (shrink)

Davidson approaches the notions of meaning and interpretation with the aim of characterizing semantic competence in the syntactically characterized natural language. The objective is to provide a truth-theory for a language, generating T-sentences expressed in the semantic metalanguage, so that each sentence of the object language receives an appropriate interpretation. Proceeding within the constraints of referential semantics, I will argue for the viability of reconstructing the notion of linguistic meaning within the Tarskian theory of reference. However, the view (...) proposed here involves a revision of Davidson’s con-ception of the object of semantic investigation. Taking (idealized) language-theories as the proper object of semantic characterization, provides solutions to outstanding problems in Davidson’s views, better approximates the practice in standard model-theoretic semantics, and incorporates the elements of semantic competence sought for in tradi¬tional theories of lexical analysis. Sources of evidence beyond those emphasized by Davidson will be invoked in order to allow for the selection of interpre¬tive T-sentences. In the final section, possible Quinean objections will be considered. (shrink)

The paper introduces a proof-theoretic semantics for adjectival modification as an alternative to the traditional model-theoretic semantics basing meaning on truth-conditions. The paper considers the proof-theoretic meaning of modification by means of the three traditional adjective classes: intersective, subsective and privative. It does so by introducing a meaning-conferring natural-deduction proof system for such modification. The PTS theory of meaning is not polluted by ontological commitments, for example, a scale for beauty and a yardstick for (...) being beautiful. It only uses syntactic artefacts of the proof language. The paper also defines, by suitable rules, iterated modification, shedding light on the relationship between iteration and adjectival classes. Modification via coordinated adjectives is covered too. An appendix delineates briefly the main ingredients of PTS. (shrink)

This monograph offers a comprehensive study of contingent a priori truths. Building onto a theoretical framework developed by the philosopher and logician Saul Kripke, the author also presents a new approach to these truths. The first part of the book details the many theories on contingent a priori truths. The coverage examines the cases of Kripke and David Kaplan, Donnellan and the de re requirement, Evans and weak contingency, as well as Plantinga, Salmon, Soames, and the pseudo a priori. Overall, (...) it provides a systematic discussion and critical review of all these many positions. Next, the author develops an alternative approach. His working hypothesis is that performative verbs must play a central role in Kripke's examples, even if they do not show up at the surface structure of the corresponding sentences. This opens up an entirely new way of looking at Kripke's cases and of treating them by exploring some aspects of the theory of illocutionary acts. His discussion also examines brute facts and institutional facts, indexicals and performatives, as well as Frege's theory of definitions. Providing an authoritative exploration into contingent a priori truths, this book will be of interest to students, academics, and researchers in philosophy and logic. (shrink)

In this paper, I introduce and discuss a series of problems associated with answering the question of semantic unity, and argue that the truth theoretical approach to semantics put forward by Donald Davidson suggests a possible solution. Although not put forward explicitly as such by Davidson, it is argued that we in Davidson's interpretation of Tarski's definition of truth find the resources to illuminate and resolve the problem of unity.

This contribution is concerned with a particular model theoretic semantics of the object language of quantum physics. The object language considered here comprises logically connected propositions, sequentially connected propositions and modal propositions. The model theoretic semantics arises from the already established dialogic semantics, if the pragmatic concept of the dialog-game is replaced by a "metaphysical" concept of the game. The game is determined by a game tree, the branches of which constitute a set, the set (...) of "possible worlds" of an individual quantum physical system. The semantic concepts like truth, falsity and valuation are defined with respect to this set. (shrink)

The structure of strategies for semantical games is studied by means of a new formalism developed for the purpose. Rigorous definitions of strategy, winning strategy, truth, and falsity are presented. Non-contradiction and bivalence are demonstrated for the truth-definition. The problem of the justification of deduction is examined from this perspective. The rules of a natural deduction system are justified: they are seen to guarantee existence of a winning strategy for the defender in the semantical game for the conclusion, (...) given winning strategies for that player in the games for the premises. Finally, it is shown how semantical games and the truth-definition can be given for languages lacking individual constants. *** DIRECT SUPPORT *** AZ902009 00003. (shrink)

According to Schroeder-Heister 2018, proof-theoretic semantics is ‘an alternative to truth-condition semantics. It is based on the fundamental assumption that the central notion in terms of which meanings are assigned to certain expressions of our language, in particular to logical constants, is that of proof rather than truth. In this sense proof-theoretic semantics is semantics in terms of proof. Proof-theoretic semantics also means the semantics of proofs, i.e. the (...) class='Hi'>semantics of entities which describe how we arrive at certain assertions given certain assumptions.' This text advocates that proof-theoretic semantics, as described above, was an approach to semantical issues in logic that appeared in mainstream philosophical literature at least a couple of centuries before the tradition of general proof theory (cf. Prawitz 1971) came into being. This is done by means of an interpretive analysis of Kant’s 1762 essay Die falsche Spitzfindigkeit der vier syllogistischen Figuren, in which two theses are argued: first, that the issue of justifying the logical validity of inferences is approached by Kant in this text, in a strong sense, in terms of proofs; and second, that the purpose of his effort is to establish a point concerning the semantical equivalence between certain distinct valid inferences. (shrink)

Recent philosophy of language has been profoundly impacted by the idea that mainstream, model-theoretic semantics is somehow incompatible with deflationary accounts of truth and reference. The present article systematizes the case for incompatibilism, debunks circularity and “modal confusion” arguments familiar in the literature, and reconstructs the popular thought that truth-conditional semantics somehow “presupposes” a correspondence theory of truth as an inference to the best explanation. The case for compatibilism is closed by showing that this (...) IBE argument fails to rule out two kinds of deflationism: the position Field famously accused Tarski of having; and a less familiar version of the view that defines reference in terms of a deflated notion of truth. Finally, the distinction between unifying and constitutive explanation is used to forestall the response that correspondence theory is literally part of mainstream semantics. (shrink)

What do the rules of logic say about the meanings of the symbols they govern? In this book, James W. Garson examines the inferential behaviour of logical connectives, whose behaviour is defined by strict rules, and proves definitive results concerning exactly what those rules express about connective truth conditions. He explores the ways in which, depending on circumstances, a system of rules may provide no interpretation of a connective at all, or the interpretation we ordinarily expect for it, or (...) an unfamiliar or novel interpretation. He also shows how the novel interpretations thus generated may be used to help analyse philosophical problems such as vagueness and the open future. His book will be valuable for graduates and specialists in logic, philosophy of logic, and philosophy of language. (shrink)

Validity, the central concept of the so-called ‘proof-theoretic semantics’ is described as correctly applying to the arguments that denote proofs. In terms of validity, I propose an anti-realist characterization of the notions of truth and correct assertion, at the core of which is the idea that valid arguments may fail to be recognized as such. The proposed account is compared with Dummett’s and Prawitz’s views on the matter.

In the light of the contribution of Majer, Punčochář and Sedlár, I develop a path-theoretic semantics for the conditional and briefly consider some of its applications.

A central topic in the logic of science concerns the proper semantic analysis of theoretical sentences, that is sentences containing theoretical terms. In this paper, we present a novel choice-semantical account of theoretical truth based on the epsilon-term definition of theoretical terms. Specifically, we develop two ways of specifying the truth conditions of theoretical statements in a choice functional semantics, each giving rise to a corresponding logic of such statements. In order to investigate the inferential strength of (...) these logical systems, we provide a translation of each truth definition into a modal definition of theoretical truth. Based on this, we show that the stronger notion of choice-semantical truth captures more adequately our informal semantic understanding of scientific statements. (shrink)

Originally published in 1958. A study in the logical foundations of modern theoretical semantics, this book is concerned with notions of designation and consistency as well as denotation and truth. It presents several semantical theories, each of which with what were new concepts or treatments from the author. Talking at a time when semantical theory was gained great ground, this book also looks at the methodology of the sciences and the semantics of scientific language alongside analysis of (...) meaning and expression. It is influenced by the writings of Carnap, Church, Frege, Goodman, Quine, Russell and Tarski. (shrink)