Xinli Wang

The Symbolic Logic Study Guide is designed to accompany the widely used symbolic logic textbook Language, Proof and Logic (LPL), by Jon Barwise and John Etchemendy (CSLI Publications 2003). The guide has two parts. The first part contains condensed, essential lecture notes, which streamline and systematize the first fourteen chapters of the book into seven teaching sections, and thus provide a clear, well-designed roadmap for the understanding of the text. The second part consists of twelve sample quizzes and solutions. The Symbolic Logic Study Guide is essential for all instructors and students who use LPL in their symbolic logic classes.

The current discussions of conceptual schemes and related topics are misguided; for they are based on a tacit assumption that the difference between two schemes consists in the different distributions in truth-values. I argue that what should concern us, in the discussions of conceptual schemes and related issues, is not truth-values of assertions, but rather the truth-value-status of the sentences used to make the assertions. This is because the genuine conceptual innovation between alternative theories or languages does not lie in differences in determining truth-values of their sentences, but turns on whether these sentences have truth-values when considered within the context of a competing one. This new interpretation of the notion of conceptual schemes, which I refer to as presuppositional languages, is not only good in itself—for establishing the intelligibility and tenability of the notion—but quite beneficial in its effect on other related issues.

The current discussions of conceptual schemes and related topics are misguided; for they have been focused too much on the truth-conditional notions of meaning/concepts and translation/interpretation in Tarski's style. It is exactly due to such a Quinean interpretation of the notion of conceptual schemes that the very notion of conceptual schemes falls prey to Davidson's attack. We argue that what should concern us in the discussions of conceptual schemes and related issues, following the initiatives of I. Hacking, T. Kuhn, and N. Rescher, is not the truth-values of assertions, but rather the truthvalue-status of the sentences used to make the assertions. This is because the genuine conceptual innovation between alternative theories/languages does not lie in differences in determining the truth-values of their sentences, but turns on whether these sentences have truth-values when considered within the context of a competing one. The core of conceptual relativism does not consist in the claim that different conceptual schemes may yield incommensurable truth claims, but rather that different conceptual schemes may yield incompatible truth-value-status and therefore lead to distinct perceptions of reality. Conceptual schemes are no longer seen as sentential languages consisting of a set of sentences accepted as true, but rather seen as metaphysical presuppositions of presuppositional languages.[ABSTRACT FROM AUTHOR].

Why is mutual understanding between two substantially different comprehensive language communities often problematic and even unattainable? To answer this question, the author first introduces a notion of presuppositional languages. Based on the semantic structure of a presuppositional language, the author identifies a significant condition necessary for effective understanding of a language: the interpreter is able to effectively understand a language only if he/she is able to recognize and comprehend its metaphysical presuppositions. The essential role of the knowledge of metaphysical presuppositions in understanding is further strengthened by developing a truth-value conditional theory of understanding. It is concluded that if the interpreter approaches an incompatible alien language from the standpoint of the interpreter's own language by projecting the metaphysical presuppositions of his/her own language upon the alien language, then the mutual understanding between the two language communities is doomed to failure.

What the authors attempt to address in this paper is a Kantian question: not whether, but how is cross -cultural understanding possible? And specifically, what is a more effective approach for cross -cultural understanding? The answer lies in an analysis of two different models of cross -cultural understanding, that is, propositional and hermeneutic understanding. To begin with, the author presents a linguistic interpretation of culture, i.e., a culture as a linguistically formulated and transmitted symbolic system with its conceptual core as a scheme of basic cultural presuppositions, which it referred to as a cultural language. After exploring the essential role of cultural presuppositions in cross -cultural understanding, the author discusses the traditional model of cross -cultural understanding, namely, the propositional model. Through critically examining the two popular versions of the propositional model, i.e., the projective approach and the adoptive approach to cross -cultural understanding, it is found that cross -cultural propositional understanding is doomed to failure. To move us beyond the absolutism -relativism trap embedded within propositional understanding, the author first introduces and discusses Hans-Georg Gadamer’s hermeneutic understanding, and then applies Hans-Georg Gadamer’s hermeneutic model of understanding to cross -cultural understanding. It is finally concluded that cross -cultural understanding is essentially hermeneutic—including the case of cultural learning, not propositional. Therefore, cross -cultural understanding is hermeneutically possible

斯特劳逊 （Strawson）的语义预设概念在语义学和语言哲学研究上颇有建树。尽管如此，语义预设概念一直遭受来自各方面的批判。概要说来，对语义预设概念之批判主要来自两个方面：其一，试图抽去语义预设概念的逻辑基础，即非真值概念 (the notion of truthvaluelessness)，从而达到间接地拒斥语义预设概念之目的。其二，直接批判语义预设概念本身。他们或者论证此概念在理论上不自恰或微不足道，或者断定即使此概念本身在理论上自恰，但实为一空洞无物之概念。因为我们根本找任何一个语义预设的具体例证。所以，语义预设概念不具任何真正的哲学意义。它只是一个当代神话，理应拒斥。 -/- 玻尔(S. Ber)和莱肯(W. Lycan)对语义预设概念的批判集中代表了以上两个方面。据我所知，迄今不曾有人对他们的批判予以全面和公正的反驳，以致于许多人人云亦云，使得他们的论点至今颇有影响。给予玻尔和莱恩的批判以全面反驳乃本文初衷。于此相关，我以为很有必要澄清对语义预设概念的诸多误解，从而确立一个理论上自恰，实际上可行，和确有实质性内容的语义预设概念。基于以上考虑，我对语义预设概念批判之反驳包括正 反两个方面。在第二节，我试图建立一个自恰，完备，非庸俗的语义预设概念。基于这一概念，第三节对玻尔和莱恩反对语义预设的两个核心批判予以全面反驳。第四节着重辩护非真值概念。本文的最后结论是：各种批判并未损伤斯特劳逊的语义预设概念的精髓。语 义预设概念非但不是一个当代神话，而且具有重大哲学意义。 .

Against the received translation-failure interpretation, this book presents a presuppositional interpretation of incommensurability, that is, the thesis of incommensurability as cross-language communication breakdown due to the incompatible metaphysical presuppositions underlying two competing presuppositional languages, such as scientific languages. This semantically sound, epistemologically well-established, and metaphysically profound interpretation not only affirms the tenability of the notion of incommensurability and confirms the reality of the phenomenon of incommensurability, but also makes some significant contributions to the discussion of many related issues, such as the notion of conceptual schemes, the notion of truth-value status and truth-value conditions, and the issue of cross-language understanding and communication.