Default Logic as Dynamic Doxastic Logic

Dynamic doxastic logic (DDL) is used in connexion with theories of belief revision. Here we try to show that languages of DDL are suitable also for discussing aspects of default logic. One ingredient of our analysis is a concept of coherence-as-ratifiability.     

A Non-alethic Multi-agent Doxastic Logic as a Solution to Epistemic Conflicts

Axiomathes - The non-alethic systems N1 of da Costa and A of Grana are both paraconsistent and paracomplete. Based on them, a multi-agent doxastic logic NADK can be obtained by logical expansion....     

论信念逻辑与认知逻辑的决策论基础(英文)

在本文中,我们为期望收益最大化的信念和知识提供一个逻辑——信念与认知逻辑(DEL)。这个逻辑是基于决策理论和测度论的方法建立的,在其中信念和知识不会坍塌。     

建构第一人称信念逻辑的一致性难题

研究信念逻辑的有趣之处在于：可以在没有清楚的存在与等同条件下,建立一套元目的形式理论。现有的合理且可能为真的形式系统皆因为著名的“知识拥有者的悖论（Knower’s Paradox）”而导致不一致。这篇论文将建构一套第一人称信念的形式系统。用来建构系统的信念将来自内在观点,因此信念的拥有者将不在讨论的范围中。此外,本篇论文将论证信念的背景将扮演语意、知识论及语用的角色。本篇论文建构的系统将是标准初阶逻辑的有限延展,并将使用到引述。本系统所使用的公理及规则相对较弱,且因为太弱而不足够,因此导致了系统的不一致。本论文欲藉此论证：可被定义的信念集合将不可能被找到。在现有的信念理论及所有的第一人称信念理论中,有限且可被定义的信念集合皆为不一致的原因在于并未涵盖我们真实拥有的信念。     

A Problem for Deontic Doxastic Constitutivism

Deontic Doxastic Constitutivism is the view that beliefs are constitutively governed by deontic norms. This roughly means that a full account and understanding of the nature of these mental attitudes cannot be reached unless one appeals to some norm of this type. My aim in this article is to provide an objection to such a conception of the normativity of belief. I argue that if some deontic norm is constitutive of belief, then the addressees of such a norm are committed to a potentially infinite number of norms. Furthermore, if addressees are in the position to fulfill all such norms, they must also be able to hold a potentially infinite number of logically independent beliefs. Both these consequences are problematic if compared with limited human capacities to act and believe.     

Acceptance and Certainty,Doxastic Modals,and Indicative Conditionals

I give a semantics for a logic with two pairs of doxastic modals and an indicative conditional connective that all nest without restriction. Sentences are evaluated as accepted, rejected, or neither. Certainty is the necessity-like modality of acceptance. Inferences may proceed from premises that are certain, or merely accepted, or a mix of both. This semantic setup yields some striking results. Notably, the existence of inferences that preserve certainty but not acceptance very directly implies both failure of modus ponens for the indicative conditional in the logic of acceptance and failure of the deduction theorem for the material conditional in the logic of certainty. The latter failure dissolves, in the logic of certainty, the much - discussed tension between modus ponens and the law of import-export.

     

Logic,Logic, and Logic

In his recent paper in History and Philosophy of Logic, John Kearns argues for a solution of the Liar paradox using an illocutionary logic (Kearns 2007 Kearns, J. 2007. ‘An illocutionary logical explanation of the Liar Paradox’. History and Philosophy of Logic, 28: 31–66. [Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]). Paraconsistent approaches, especially dialetheism, which accepts the Liar as being both true and false, are rejected by Kearns as making no ‘clear sense’ (p. 51). In this critical note, I want to highlight some shortcomings of Kearns' approach that concern a general difficulty for supposed solutions to (semantic) antinomies like the Liar. It is not controversial that there are languages which avoid the Liar. For example, the language which consists of the single sentence ‘Benedict XVI was born in Germany’ lacks the resources to talk about semantics at all and thus avoids the Liar. Similarly, more interesting languages such as the propositional calculus avoid the Liar by lacking the power to express semantic concepts or to quantify over propositions. Kearns also agrees with the dialetheist claim that natural languages are semantically closed (i.e. are able to talk about their sentences and the semantic concepts and distinctions they employ). Without semantic closure, the Liar would be no real problem for us (speakers of natural languages). But given the claim, the expressive power of natural languages may lead to the semantic antinomies. The dialetheist argues for his position by proposing a general hypothesis (cf. Bremer 2005 Bremer, M. 2005. An Introduction to Paraconsistent Logics, Bern: Lang.  [Google Scholar], pp. 27–28): ‘(Dilemma) A linguistic framework that solves some antinomies and is able to express its linguistic resources is confronted with strengthened versions of the antinomies’. Thus, the dialetheist claims that either some semantic concepts used in a supposed solution to a semantic antinomy are inexpressible in the framework used (and so, in view of the claim, violate the aim of being a model of natural language), or else old antinomies are exchanged for new ones. One horn of the dilemma is having inexpressible semantic properties. The other is having strengthened versions of the antinomies, once all semantic properties used are expressible. This dilemma applies, I claim, to Kearns' approach as well.     

The Study of Global Solutions: A Postmodern Systems Thinking View of Grounded Theory/Grounded Action

The grounded theory research method embodies a crucial element of postmodernist thinking due to its aversion to theory verification and its ability to imbue analysts with the power to discover theory. These processes closely mirror systems thinking because they allow for holistic examination. Postmodern systems thinking combines the worldview of postmodernism with systems thinking, creating a mechanism that is both respectful to the variations of human interaction and the need for “de-compartmentalizing” complex systems. The postmodern systems thinking framework united with grounded action research could be a potent approach for the dissemination of localized, culture-specific ideas in countries susceptible to Western hegemony.     

A Qualitatively Constructed Interpersonal Communication Model A Grounded Theory Analysis

This study examined 288 interpersonal research articles published during the past 25 years in Human Communication Research. The method used was grounded theory. Through constant comparison analysis, a 17-part categorization system was developed to account for each of the articles. The categories were cognition, nonverbal communication, compliance-gaining, message type, personality, interpersonal effects, conversation, close relationships, perception, deception, initial interaction, culture, relationship development, apprehension, self-disclosure, competence, and conflict. The categories were then placed in relationship with one another to create a model of interpersonal communication that consists of seven components. The final representation provides a new model of interpersonal communication, which is obtained from data, empirically supported, and analytically derived.     

Traditional Logic,Modern Logic and Natural Language

In a recent paper Johan van Benthem reviews earlier work done by himself and colleagues on ‘natural logic’. His paper makes a number of challenging comments on the relationships between traditional logic, modern logic and natural logic. I respond to his challenge, by drawing what I think are the most significant lines dividing traditional logic from modern. The leading difference is in the way logic is expected to be used for checking arguments. For traditionals the checking is local, i.e. separately for each inference step. Between inference steps, several kinds of paraphrasing are allowed. Today we formalise globally: we choose a symbolisation that works for the entire argument, and thus we eliminate intuitive steps and changes of viewpoint during the argument. Frege and Peano recast the logical rules so as to make this possible. I comment also on the traditional assumption that logical processing takes place at the top syntactic level, and I question Johan’s view that natural logic is ‘natural’.     

A New Game Equivalence,its Logic and Algebra

We present a new notion of game equivalence that captures basic powers of interacting players. We provide a representation theorem, a complete logic, and a new game algebra for basic powers. In doing so, we establish connections with imperfect information games and epistemic logic. We also identify some new open problems concerning logic and games.

     

A Grounded Approach to the Study of Complex Systems

The complex and dynamic nature of systems pose a particular challenge to researchers and require the use of a research methodology designed to deal with such systems. The properties of fit, relevance, understandability, generality, control, workability, generalizability, and modifiability make Glaserian grounded theory and grounded action particularly well suited for studying systems. These methods are innovative, systemic, and sophisticated enough to reveal the underlying complexities of systems and plan actions that address their complex, dynamic nature while remaining grounded in what is occurring within the systems as they change over time.     

图式逻辑:哲学逻辑的一个新分支

逻辑研究有效推理,判定其有效的依据是结论所传达的信息与前提所传达的信息之间的必然关系,而传达这些信息的媒介不一定就是语言。日常推理是运用语句、图形甚至声音、气味等多种信息进行的多模态推理,对这些多模态表示系统和推理的研究已经成为心灵哲学、认知科学、心理学、教育学、数学、逻辑学和计算机科学等领域的交叉地带。自从