In this paper I argue, contrary to Chad Hansen’s view , that pre-Han 漢 Chinese philosophy has the semantic concept of truth. Hansen argues that, first, pre-Han Chinese thinkers do not have motivations to introduce the concept of truth in their philosophy due to their peculiar theory of language; second, the concept does not fit well with philosophical texts at that time, and in particular, the Mozi 墨子 text about the three standards of doctrine. (...) However, I argue that Chinese thinkers indeed have reasons to introduce the concept of truth. Hansen’s reading of the three standards of doctrine takes the standards as standards of correct word use, thus attributing to the authors of the Mozi an understanding of yan 言 as something without complete propositional content. However, I argue, a reading that sees the three standards as standards for something with complete propositional content explains better the passages in which the authors apply the standards to various issues. Finally I argue that the term ran 然 is sometimes used as a truth predicate in classical Chinese texts, because it has several important features identical to that of the truth predicate “is true” in English. (shrink)

Alfred Tarski’s refinement of an account of truth into a formal system that turns on the acceptance of Convention-T has had a lasting impact on philosophical logic, especially work concerning truth, meaning, and other semantic notions. In a series of studies completed from the 1930s to the 1960s, Arne Næss collected and analysed intuitive responses from non-philosophers to questions concerning truth, synonymy, certainty, and probability. Among the formulations of truth studied by Næss were practical variants (...) of expressions of the form “p’ is true if and only if p’. This paper calls attention to a series of experimental results Næss overlooked in his original study. These data collectively suggest that acceptance of expressions of the form “p’ is true if and only if p’ varies according to what kind of statement p is. (shrink)

We sketch an account according to which the semantic concepts themselves are not pathological and the pathologies that attend the semantic predicates arise because of the intention to impose on them a role they cannot fulfill, that of expressing semantic concepts for a language that includes them. We provide a simplified model of the account and argue in its light that (i) a consequence is that our meaning intentions are unsuccessful, and such semantic predicates fail to (...) express any concept, and that (ii) in light of this it is incorrect to characterize the pathology simply as semantic inconsistency; a more nuanced view of the problem is needed. We also show that the defects of the semantic predicates need not undercut the use of a truth theory in a compositional semantics for a language containing them because the meaning theory per se need not involve commitment to the axioms of the truth theory it exploits. (shrink)

The thesis deals with the concept of truth and the paradoxes of truth. Philosophical theories usually consider the concept of truth from a wider perspective. They are concerned with questions such as - Is there any connection between the truth and the world? And, if there is - What is the nature of the connection? Contrary to these theories, this analysis is of a logical nature. It deals with the internal semantic structure of (...) language, the mutual semantic connection of sentences, above all the connection of sentences that speak about the truth of other sentences and sentences whose truth they speak about. Truth paradoxes show that there is a problem in our basic understanding of the language meaning and they are a test for any proposed solution. It is important to make a distinction between the normative and analytical aspect of the solution. The former tries to ensure that paradoxes will not emerge. The latter tries to explain paradoxes. Of course, the practical aspect of the solution is also important. It tries to ensure a good framework for logical foundations of knowledge, for related problems in Artificial Intelligence and for the analysis of the natural language. Tarski’s analysis emphasized the T-scheme as the basic intuitive principle for the concept of truth, but it also showed its inconsistency with the classical logic. Tarski’s solution is to preserve the classical logic and to restrict the scheme: we can talk about the truth of sentences of a language only inside another essentially richer metalanguage. This solution is in harmony with the idea of reflexivity of thinking and it has become very fertile for mathematics and science in general. But it has normative nature | truth paradoxes are avoided in a way that in such frame we cannot even express paradoxical sentences. It is also too restrictive because, for the same reason we cannot express a situation in which there is a circular reference of some sentences to other sentences, no matter how common and harmless such a situation may be. Kripke showed that there is no natural restriction to the T-scheme and we have to accept it. But then we must also accept the riskiness of sentences | the possibility that under some circumstances a sentence does not have the classical truth value but it is undetermined. This leads to languages with three-valued semantics. Kripke did not give any definite model, but he gave a theoretical frame for investigations of various models | each fixed point in each three-valued semantics can be a model for the concept of truth. The solutions also have normative nature | we can express the paradoxical sentences, but we escape a contradiction by declaring them undetermined. Such a solution could become an analytical solution only if we provide the analysis that would show in a substantial way that it is the solution that models the concept of truth. Kripke took some steps in the direction of finding an analytical solution. He preferred the strong Kleene three-valued semantics for which he wrote it was "appropriate" but did not explain why it was appropriate. One reason for such a choice is probably that Kripke finds paradoxical sentences meaningful. This eliminates the weak Kleene three valued semantics which corresponds to the idea that paradoxical sentences are meaningless, and thus indeterminate. Another reason could be that the strong Kleene three valued semantics has the so-called investigative interpretation. According to this interpretation, this semantics corresponds to the classical determination of truth, whereby all sentences that do not have an already determined value are temporarily considered indeterminate. When we determine the truth value of these sentences, then we can also determine the truth value of the sentences that are composed of them. Kripke supplemented this investigative interpretation with an intuition about learning the concept of truth. That intuition deals with how we can teach someone who is a competent user of an initial language (without the predicate of truth T) to use sentences that contain the predicate T. That person knows which sentences of the initial language are true and which are not. We give her the rule to assign the T attribute to the former and deny that attribute to the latter. In that way, some new sentences that contain the predicate of truth, and which were indeterminate until then, become determinate. So the person gets a new set of true and false sentences with which he continues the procedure. This intuition leads directly to the smallest fixed point of strong Kleene semantics as an analytically acceptable model for the logical notion of truth. However, since this process is usually saturated only on some transfinite ordinal, this intuition, by climbing on ordinals, increasingly becomes a metaphor. This thesis is an attempt to give an analytical solution to truth paradoxes. It gives an analysis of why and how some sentences lack the classical truth value. The starting point is basic intuition according to which paradoxical sentences are meaningful (because we understand what they are talking about well, moreover we use it for determining their truth values), but they witness the failure of the classical procedure of determining their truth value in some "extreme" circumstances. Paradoxes emerge because the classical procedure of the truth value determination does not always give a classically supposed (and expected) answer. The analysis shows that such an assumption is an unjustified generalization from common situations to all situations. We can accept the classical procedure of the truth value determination and consequently the internal semantic structure of the language, but we must reject the universality of the exterior assumption of a successful ending of the procedure. The consciousness of this transforms paradoxes to normal situations inherent to the classical procedure. Some sentences, although meaningful, when we evaluate them according to the classical truth conditions, the classical conditions do not assign them a unique value. We can assign to them the third value, \undetermined", as a sign of definitive failure of the classical procedure. An analysis of the propagation of the failure in the structure of sentences gives exactly the strong Kleene three-valued semantics, not as an investigative procedure, as it occurs in Kripke, but as the classical truth determination procedure accompanied by the propagation of its own failure. An analysis of the circularities in the determination of the classical truth value gives the criterion of when the classical procedure succeeds and when it fails, when the sentences will have the classical truth value and when they will not. It turns out that the truth values of sentences thus obtained give exactly the largest intrinsic fixed point of the strong Kleene three-valued semantics. In that way, the argumentation is given for that choice among all fixed points of all monotone three-valued semantics for the model of the logical concept of truth. An immediate mathematical description of the fixed point is given, too. It has also been shown how this language can be semantically completed to the classical language which in many respects appears a natural completion of the process of thinking about the truth values of the sentences of a given language. Thus the final model is a language that has one interpretation and two systems of sentence truth evaluation, primary and final evaluation. The language through the symbol T speaks of its primary truth valuation, which is precisely the largest intrinsic fixed point of the strong Kleene three valued semantics. Its final truth valuation is the semantic completion of the first in such a way that all sentences that are not true in the primary valuation are false in the final valuation. (shrink)

The Semantic Theory of Truth The semantic theory of truth was developed by Alfred Tarski in the 1930s. The theory has two separate, although interconnected, aspects. First, it is a formal mathematical theory of truth as a central concept of model theory, one of the most important branches of mathematical logic. Second, it … Continue reading Semantic Theory of Truth →.

This collection of new essays presents cutting-edge research on the semantic conception of logic, the invariance criteria of logicality, grammaticality, and logical truth. Contributors explore the history of the semantic tradition, starting with Tarski, and its historical applications, while central criticisms of the tradition, and especially the use of invariance criteria to explain logicality, are revisited by the original participants in that debate. Other essays discuss more recent criticism of the approach, and researchers from mathematics and linguistics (...) weigh in on the role of the semantic tradition in their disciplines. This book will be invaluable to philosophers and logicians alike. (shrink)

The purpose Tarski speaks of is "to do justice to our intuitions which adhere to the classical Aristotelian conception of truth." Tarski takes this to be some form of correspondence theory. He has earlier considered and rejected an even less satisfactory formula of this sort: 'a sentence is true if it corresponds to reality'. His own semantic conception of truth is meant to be a more precise variant doing justice to the correspondence standpoint. In this spirit I (...) shall presently suggest a revised version of. (shrink)

In his writings on the foundations of logic, Gottlob Frege, the father of modern logic, sketched a conception of truth that focuses on the following questions: What is the sense of the word “true”? Is truth a definable concept or a primitive one? What are the kinds of things of which truth is predicated? What is the role of the concept of truth in judgment, assertion and recognition? What is the logical category of (...) class='Hi'>truth? What is the significance of the concept of truth for science in general and for logic in particular? The present volume is dedicated to the interpretation, reconstruction and critical assessment of Frege’s conception of truth. It is of interest to all those working on Frege, the history of logic and semantics, or theories of truth. The volume brings together nine original papers whose authors are all widely known to Frege scholars. The main topics are: the role of the concept of truth in Frege’s system, the nature of the truth-values, the logical category of truth, the relationship between truth and judgment, and the conception of the truth-bearers. (shrink)

On the basis of elementary thinking about language functioning, a solution of truth paradoxes is given and a corresponding semantics of a truth predicate is founded. It is shown that it is precisely the two-valued description of the maximal intrinsic fixed point of the strong Kleene three-valued semantics.

In this paper the authors recapitulate, justify, and defend against criticism the extension of the redundancy theory of truth to cover a wide range of uses of ‘true’ and ‘false’. In this they are guided by the work of A. N. Prior. They argue Prior was right about the scope and limits of the redundancy theory and that the line he drew between those uses of ‘true’ which are and are not susceptible to treatment via redundancy serves to distinguish (...) two important and mutually irreducible types of truth: redundancy truth and predicative truth. Only the latter serves for semantic theorizing. (shrink)

The semantic tradition in logic descends from Tarski's seminal work on truth and logical consequence. In the introduction to this volume, Sagi and Woods remind us that this tradition prominently uses model theory to study languages and their interpretations. Tarski's model-theoretic definition of logical consequence is the prime example of this approach, seeking as it does to reduce logical properties to a class of operations on classical, iterative (ZF) sets. Sagi and Woods explain with admirable clarity the origins, (...) implications, and philosophical questions surrounding this project. The contributions to the volume go on to address whether this approach successfully elucidates logicality and how it intersects with the foundations of mathematics and natural language semantics. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Did Hobbes Have a Semantic Theory of Truth? WILLEM R. DEJONG 1. INTRODUCTION THE qUESTIONRAISEDin the title of this article may strike the reader as a bit anachronistic. A phrase like 'semantic theory of truth' evokes associations with rather recent developments in logic, especially the work of Alfred Tarski. Nevertheless, it is generally agreed that Hobbes made important observations of a semantical nature. Moreover, in (...) an interesting article still frequently referred to, R. M. Martin has argued that Hobbes "has in mind a clear-cut semantical concept of truth."' Examining Hobbes's semantical ideas somewhat more closely than Martin did, T6rnebohm has given a more precise characterization of Hobbes's view on truth and falsity; he speaks of Hobbes's comprehension theory of truth. ~One of the main purposes of this article is to investigate whether such a theory is correctly attributed to Hobbes. For Tarski 'true' and 'false' are predicates of (declarative) sentences) But this is not enough to speak of a semantic theory of truth: The leading idea behind Tarski's fundamental work in the field of semantics is (a restricted version of) the principle of compositionality. This principle, also known as Frege's principle, says that the semantic value of a (complex) expression is a function of the semantic values of the syntactic (and categorematic) parts it is ' R. M. Martin, "On the Semantics of Hobbes," Philosophyand PhenomenologicalResearch 14 095314): 2o5-11, esp. ~o7, 211. Cf. I. C. Hungerland and G. R. Vick, "Hobbes's Theory of Language, Speech and Reasoning," in ThomasHobbes:Computatwsire Logica--Logic, translated and commentary by A. Martinich, ed. and introduced by I. C. Hungerland and G. R. Vick (New York: 1981), 15--167, esp. 17, 121-22. 9 H. T6rnebohm, "A Study in Hobbes' Theory of Denotation and Truth," Theor~a26 (196o): 53-7o; see p. 66. 3 A. Tarski, "The Semantic Conception of Truth and the Foundations of Semantics," Philosophy and PhenomenologicalResearch4 (1944): 341-375; see p. 342. [63] 64 JOURNAL OF THE HISTORY OF PHILOSOPHY 28:1 JANUARY 199o composed of. Moreover, in the case of linguistic expressions which are (deciarative ) sentences this semantic value should be its truth-value. 4 As we shall see, Hobbes's theory of propositions is basically a theory of subject-predicate propositions. It is therefore reasonable to qualify his theory of truth as a semantic one only if it satisfies Frege's principle to a certain extent. Ideally, this means that the truth-value of subject-predicate propositions should be conceived as a function of the semantic interpretations of its subject and predicate. In the next three sections I will concentrate principally on the logicosyntactical aspects of language. I will then discuss successively the general structure of propositions, the various sorts of names, and the syntax of Hobbes's theory of propositions. Section 5 is devoted to Hobbes's theory of truth as interpreted by Martin and T0rnebohm. The outcome of this examination makes it necessary to break away from Martin's restricted conception of semantics. Martin, like Tarski, takes semantics as "semantics in the narrower sense," i.e., as the discipline Quine refers to as the theory of reference. 5 However, sometimes this term is used in a broader sense; the field of semantics is taken then to include the theory of meaning too. Although the wording differs frequently, the distinction between meaning and reference is almost a constant in the history of thinking about language. On the side of meaning one finds terms like connotation, intension, conception, signification and analyticity, while terms like naming, denoting, extension (and sometimes again signification) are ]inked to the notion of reference. In the Computatio sive Logica, the first part of De Corpore, containing Hobbes's most mature work on the philosophy of language, this opposition is displayed by way of a distinction between, on the one side, nominare, denotare and appellare and, on the other side, significare. Hobbes's view of the significative, as opposed to the denotative, role of linguistic expressions is treated in sections 6, 7, and 8. There it will be shown that Hobbes's radical nominalism is decisive for his doctrine of signification; moreover, this nominalism raises serious problems for the relation... (shrink)

The paper presents Alfred Tarski’s debate with the semantic antinomies: the basic Liar Paradox, and its more sophisticated versions, which are currently discussed in philosophy: Strengthen Liar Paradox, Cyclical Liar Paradox, Contingent Liar Paradox, Correct Liar Paradox, Card Paradox, Yablo’s Paradox and a few others. Since Tarski, himself did not addressed these paradoxes—neither in his famous work published in 1933, nor in later papers in which he developed the Semantic Theory of Truth—therefore, We try to defend his (...) concept of truth against these antinomies. It is demonstrated that Tarskian theory of truth is resistant to the paradoxes and it is still the best solution to avoid the antinomies and remain within a classical logic, that is, accepting the laws of noncontradiction, excluded middle, and the principle of bivalence. Thus, the goal of the paper is double—firstly, to show that none of the versions of the Liar Paradox’s is a serious threat to Tarski’s concept of truth, and secondly, that Semantic Theory of Truth allows to remain within classical logic, and at the same time, avoid antinomies—which makes it the most attractive among classical theories of truth. (shrink)

Nearly every common theory of truth has been attributed to Nietzsche, while some commentators have argued that he simply has no theory of truth. This essay argues that Nietzsche's remarks on truth are best situated within either the coherence or pragmatist theories of truth rather than the correspondence theory. Nietzsche's thoughts on truth conflict with the correspondence framework because he believes that the truth conditions of propositions are constitutively dependent on our actions.

According to Field’s influential incompleteness objection, Tarski’s semantic theory of truth is unsatisfactory since the definition that forms its basis is incomplete in two distinct senses: (1) it is physicalistically inadequate, and for this reason, (2) it is conceptually deficient. In this paper, I defend the semantic theory of truth against the incompleteness objection by conceding (1) but rejecting (2). After arguing that Davidson and McDowell’s reply to the incompleteness objection fails to pass muster, I argue (...) that, within the constraints of a non-reductive physicalism and a holism concerning the concepts of truth, reference and meaning, conceding Field’s physicalistic inadequacy conclusion while rejecting his conceptual deficiency conclusion is a promising reply to the incompleteness objection. (shrink)

This book provides a detailed commentary on the classic monograph by Alfred Tarski, and offers a reinterpretation and retranslation of the work using the original Polish text and the English and German translations. In the original work, Tarski presents a method for constructing definitions of truth for classical, quantificational formal languages. Furthermore, using the defined notion of truth, he demonstrates that it is possible to provide intuitively adequate definitions of the semantic notions of definability and denotation and (...) that the notion in a structure can be defined in a way that is analogous to that used to define truth. Tarski’s piece is considered to be one of the major contributions to logic, semantics, and epistemology in the 20th century. However, the author points out that some mistakes were introduced into the text when it was translated into German in 1935. As the 1956 English version of the work was translated from the German text, those discrepancies were carried over in addition to new mistakes. The author has painstakingly compared the three texts, sentence-by-sentence, highlighting the inaccurate translations, offering explanations as to how they came about, and commenting on how they have influenced the content and suggesting a correct interpretation of certain passages. Furthermore, the author thoroughly examines Tarski’s article, offering interpretations and comments on the work. (shrink)