试论语义悖论的弗完全理论

弗完全理论通过限制排中律的使用,弱化经典逻辑,采用非经典的三值语言来处理语义悖论,最终使得形式语言能够一致地包含自身的真谓词。文中我们讨论了弗完全理论的两种基本形式——基础的弗完全理论和高级的弗完全理论。基础的弗完全理论引入了＂真值空缺＂的思想,认为句子除了真假之外还有＂既不真也不假＂的第三值,像说谎者这样的语义悖论语句就落在真假之空缺中,该理论借助于对不动点的归纳构造过程证明了形式语言中真谓词的存在性。高级弗完全理论在前者的基础上引入一个适当的条件句,定义了一个＂更强的真＂,发展出了既满足真的素朴模式又具有不动点解释的、一致的高级弗完全理论。     

A Recommendation for Correspondence Theory of Truth

The purpose of this paper is to show that the correspondence theory as a truth-maker theory has certain advantages over some of the other theories of truth. The cost of this advantage is postulating extra entities—facts. However, the benefits outweigh the costs; facts facilitate our understanding of the nature of truth made by the world. Facts are required for understanding this world; therefore, one cannot claim that a separate cost is incurred for explaining truth. It is further argued that because of specific reasons the correspondence theory can be treated even better than the truth-maker theory and so the recommendation for correspondence as the most efficient theory of truth.

     

Game theoretical semantics and entailment

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.     

Supposition and Truth in Ockham's Mental Language

In this paper, Ockham's theory of an ideal language of thought is used to illuminate problems of interpretation of his theory of truth. The twentieth century idea of logical form is used for finding out what kinds of atomic sentences there are in OckhamÕs mental language. It turns out that not only the theory of modes of supposition, but also the theory of supposition in general is insufficient as a full theory of truth. Rather, the theory of supposition is a theory of reference, which can help in the determination of truth values within the scope of simple predications. Outside this area, there are interesting types of sentences, whose truth does not depend on whether the terms supposit for the same things or not for the same things.     

Review

I argue in this paper that anyone who accepts the ontology of scientific realism can only accept a pragmatic theory of truth, i.e., a theory on which truth is what it is epistemically right to believe. But the combination of realism with such a theory of truth is a form of internal realism; therefore, a scientific realist should be an internal realist. The strategy of the paper is to argue that there is no adequate semantic or correspondence theory of truth compatible with a realist ontology, that a redundancy theory cannot account for the value of truth, and that the only kind of truth theory which can account for the value of truth, and is compatible with a realist ontology, is a pragmatic theory. The kind of truth theory I wish to defend is objective and naturalistic, and the ontology is realistic. My position is, therefore, one of objective, naturalistic realism.     

Deflationism beyond arithmetic

The conservativeness argument poses a dilemma to deflationism about truth, according to which a deflationist theory of truth must be conservative but no adequate theory of truth is conservative. The debate on the conservativeness argument has so far been framed in a specific formal setting, where theories of truth are formulated over arithmetical base theories. I will argue that the appropriate formal setting for evaluating the conservativeness argument is provided not by theories of truth over arithmetic but by those over subject matters ‘richer’ than arithmetic, such as set theory. The move to this new formal setting provides deflationists with better defence and brings a broader perspective to the debate.

     

Reasoning and rationalization

Contra Lewis, it is argued that the correspondence theory is a genuine rival theory of truth: it goes beyond the redundancy theory; it competes with other theories of truth; it is aptly summarized by the slogan 'truth is correspondence to fact'; and it really is a theory of truth.     

塔斯基：语义性真理论与符合论

塔斯基语义性真理论是否为符合论是一个争论的热点。目前有两种观点认为它是符合论,其一是根据对象语言与元语言的区分,到目前为止此观点已受到激烈批评,其二是根据“满足”概念的递归定义,此观点到目前为止还没有被人详细地阐明。本文认为塔斯基的语义性真理论是符合论,为此将首先对第一种观点及其反对意见进行深入分析,并得出结论认为该观点不能成立,继而详细阐明第二种观点,表明它是塔斯基本人的意图。在讨论中本文将对一系列的逻辑哲学问题进行探讨。     

真理、符合与收缩论

The central claim of this essay is that many deflationary theories of truth are variants of the correspondence theory of truth. Essential to the correspondence theory of truth is the proposal that objective features of the world are the truthmakers of statements. Many advocates of deflationary theories (including F. P. Ramsay, P. F. Strawson and Paul Horwich) remain committed to this proposal. Although T-sentences (statements of the form “s is true iff p”) are presented by advocates of deflationary theories of truth as truisms or analytic truths, T-sentences are often understood as entailing commitment to the central proposal of the correspondence theory.     

A Minimalist Theory of Truth

This article, after briefly discussing Alfred Tarski's influential theory of truth, turns to a more recent theory of truth, a deflationary, or minimalist, theory. One of the chief elements of a deflationary, or minimalist, theory of truth is that it replaces the question of what truth is with the question of what “true” does. After setting out the central features of the minimalist theory of truth, the article explains the motivation for opting for such a position. In addition, it provides some reasons for thinking that such a theory of truth is “minimal” or “deflationary” in the way that contemporary truth theorists have claimed it to be.     

带良好条件句的真理不动点理论

各种真理不动点理论的一个主要问题在于：它们通常缺乏像样的条件句。本文旨在提出两种新的想法去处理这个问题。在介绍克里普克的真理不动点理论之后,本文的作者探讨了对真理不动点理论的种种反对意见,并回答了其中的一部分。然后,作者说明了菲尔德的真理理论,并说明该理论如何在克里普克的真理不动点理论至上增加了条件句。不过,本文的作者争论说,菲尔德的条件句仍有许多不尽理想之处。为了弥补这些缺点,作者提出了两个想法：一个是在不动点理论至上增加亚当斯条件句,另一个则是在其上增加史多内克条件句。     

Semantics and truth relative to a world

This paper argues that relativity of truth to a world plays no significant role in empirical semantic theory, even as it is done in the model-theoretic tradition relying on intensional type theory. Some philosophical views of content provide an important notion of truth at a world, but they do not constrain the empirical domain of semantic theory in a way that makes this notion empirically significant. As an application of this conclusion, this paper shows that a potential motivation for relativism based on the relativity of truth to a world fails.     

Reclaiming the Idea of Truth: Some Thoughts on Theory in Response to Practice

This paper examines the idea of truth, its place in therapy and in the history of systemic theory. Beginning with some practice fragments, the theory exploration considers the idea of truth in the modernist frame, the paradox of the modernist metaphor in describing the activity of therapy, and the peculiarities of the idea of truth in the earlier systemic therapies. Postmodernist and social constructionist ideas are then explored, and meaning is identified as the concept which currently occupies the place of an idea of truth in systemic discourse. It is argued that meaning as a concept is insufficiently attached to an idea of (external) reality or to an understanding of the relationship of the individual to knowledge of her/his experience of the world. Reclaiming the idea of truth as an emotional and social process has more potential to meet the complexities of human experience in thinking about the process of therapeutic change.     

Putting Pluralism in its Place

Pluralism about truth is the view that there are many properties, not just one, in virtue of which things are true. Pluralists hope to dodge the objections that face traditional monistic substantive views of truth (such as the correspondence theory), as well as those facing deflationary theories of truth. More specifically, pluralists hope to advance an explanatorily potent understanding of truth that can capture the subtleties of various realist and anti‐realist domains of discourse, all while avoiding the scope problem. I offer a new objection to pluralism that challenges its fundamental commitment to there being a set of alethic properties in virtue of which claims are true. In its place I offer an alternative view that merges standard truthmaker theory with a primitivist conception of truth. This combination of views satisfies the theoretical desires that pluralists claim for themselves, but without taking on pluralism's host of challenges and problems.     

Bradley and the impossibility of absolute truth

Bradley thought that there is a connexion between the theory of reality and the theory of truth. The theory of reality to which he subscribed, Monism, rules out a correspondence theory of truth, he thought, since it denies the existence of a plurality of facts, or things, in virtue of correspondence to which a judgment could be true. But though he rejects the correspondence theory he insists on the independence of truth from belief, wish and hope. For him the test of truth is coherence, which has two aspects, system and comprehensiveness. However, he does not think that this test yields ‘absolute’ truth. This, he maintains, for at least three different reasons, is unobtainable. Judgments can only be partially true. However, since there are degrees of truth, some judgments are closer to the truth than others, even though none are, or could be, unconditionally true.     

Minimalism and Paradoxes

This paper argues against minimalism about truth. It does so by way of acomparison of the theory of truth with the theory of sets, and considerationof where paradoxes may arise in each. The paper proceeds by asking twoseemingly unrelated questions. First, what is the theory of truth about?Answering this question shows that minimalism bears important similaritiesto naive set theory. Second, why is there no strengthened version ofRussell's paradox, as there is a strengthened Liar paradox? Answering thisquestion shows that like naive set theory, minimalism is unable to makeadequate progress in resolving the paradoxes, and must be replaced by adrastically different sort of theory. Such a theory, it is shown, must befundamentally non-minimalist.     

Supervaluation-Style Truth Without Supervaluations

Kripke’s theory of truth is arguably the most influential approach to self-referential truth and the semantic paradoxes. The use of a partial evaluation scheme is crucial to the theory and the most prominent schemes that are adopted are the strong Kleene and the supervaluation scheme. The strong Kleene scheme is attractive because it ensures the compositionality of the notion of truth. But under the strong Kleene scheme classical tautologies do not, in general, turn out to be true and, as a consequence, classical reasoning is no longer admissible once the notion of truth is involved. The supervaluation scheme adheres to classical reasoning but violates compositionality. Moreover, it turns Kripke’s theory into a rather complicated affair: to check whether a sentence is true we have to look at all admissible precisification of the interpretation of the truth predicate we are presented with. One consequence of this complicated evaluation condition is that under the supervaluation scheme a more proof-theoretic characterization of Kripke’s theory becomes inherently difficult, if not impossible. In this paper we explore the middle ground between the strong Kleene and the supervaluation scheme and provide an evaluation scheme that adheres to classical reasoning but retains many of the attractive features of the strong Kleene scheme. We supplement our semantic investigation with a novel axiomatic theory of truth that matches the semantic theory we have put forth.     

Lepore and Ludwig on ‘explicit meaning theories’

The fundamental problem proponents of truth conditional semantics must face is to specify what role a truth theory is supposed to play within a meaning theory. The most detailed proposal for tackling this problem is the account developed by Ernest Lepore and Kirk Ludwig. However, as I will show in this paper, theories along the lines of Lepore and Ludwig do not suffice to put someone into the position to understand the objectlanguage. The fundamental problem of truth conditional semantics thus remains unsolved.     

论弗雷格的“真之收缩”思想

弗雷格运用逻辑分析的方法,提出了自己独特的"真"之思想,形成了关于"真"的完整理论。在他看来,"真"不具有实体属性,不存在与客体在存在方式或存在状况的符合与对应,"真"只用来表达断定句形式中的断定力。当"5是素数"这个句子带有断定力时,真也就被表达出来,它与"5是素数是真的"表达了同样的内容。另外,他将"真"作为初始概念,认为真是不可定义的。如果对"真"进行定义,将走入"定义的循环"。因为要知道什么是"真",就需要论证表象与现实的一致性,而二者的一致又依赖于"真"的定义。这种思路与做法必将导致循环定义,故弗雷格认为"真"是不可定义的。基于以上两点的分析,他再次对符合论提出批评。他认为,如果符合论对"真"的理解是正确的话,那么结论是"事实比真更为基本,应该在事实的基础上定义真",但这显然是错误的,因为我们总是通过真来确定事实,而不是通过事实来确定真。我们似乎可以在弗雷格思想中找到收缩论的雏型,因为他关于"真"的认识与收缩论在很大程度上是一致的。收缩论最重要的观点在于说"P是真的"和说"P"有相同的涵义,谓词"是真的"是多余的。"真"本身是可收缩的,不带有实体性质。于是,我们可把弗雷格作为表达真之收缩观点的第一位哲学家,虽然他并不是坚定的收缩论者。     

A Coherence Theory of Truth in Ethics

Quine argues, in “On the Nature of Moral Values” that a coherence theory of truth is the “lot of ethics”. In this paper, I do a bit of work from within Quinean theory. Specifically, I explore precisely what a coherence theory of truth in ethics might look like and what it might imply for the study of normative value theory generally. The first section of the paper is dedicated to the exposition of a formally correct coherence truth predicate, the possibility of which has been the subject of some skepticism. In the final two sections of the paper, I claim that a coherence theory in ethics does not reduce the practice of moral inquiry to absurdity, in practice as well as in principle.