Preferential model is one of the important semantical structures in nonmonotonic logic. This paper aims to establish an isomorphism theorem for preferential models, which gives us a purely algebraic characterization of the equivalence of preferential models. To this end, we present the notions of local similarity and local simulation. Based on these notions, two operators Δ(·) and μ(·) over preferential models are introduced and explored respectively. Together with other two existent operators ρ(·) and ΠD(·), we introduce an operator ∂D(·). Then (...) the isomorphism theorem is obtained in terms of ∂D(·), which asserts that for any two preferential models M₁ and M₂, they generate the same preferential inference if and only if ∂D(M₁) and ∂D(M₂) are isomorphic. Based on ∂D(·), we also get an alternative model-theoretical characterization of the well-known postulate "Weaken Disjunctive Rationality". Moreover, in the finite language framework, we show that Δ(μ(·)) is competent for the task of eliminating redundancy, and provide a representation result for k-relations. (shrink)

This paper introduces valuation structures associated with preferential models. Based on KLM valuation structures, we present a canonical approach to obtain injective preferential models for any preferential relation satisfying the property INJ, and give uniform proofs of representation theorems for injective preferential relations appeared in the literature. In particular, we show that, in any propositional language (finite or infinite), a preferential inference relation satisfies INJ if and only if it can be represented by a standard preferential model. This conclusion generalizes (...) the result obtained by Freund. In addition, we prove that, when the language is finite, our framework is sufficient to establish a representation theorem for any injective relation. (shrink)

In the formal semantics based on modern type theories, common nouns are interpreted as types, rather than as predicates of entities as in Montague’s semantics. This brings about important advantages in linguistic interpretations but also leads to a limitation of expressive power because there are fewer operations on types as compared with those on predicates. The theory of coercive subtyping adequately extends the modern type theories and, as shown in this paper, plays a very useful role in making type theories (...) more expressive for formal semantics. It not only gives a satisfactory solution to the basic problem of ‘multiple categorisation’ caused by interpreting common nouns as types, but provides a powerful formal framework to model interesting linguistic phenomena such as copredication, whose formal treatment has been found difficult in a Montagovian setting. In particular, we show how to formally introduce dot-types in a type theory with coercive subtyping and study some type-theoretic constructs that provide useful representational tools for reference transfers and multiple word meanings in formal lexical semantics. (shrink)

ABSTRACTIn Chinese scholarship, Xunzi is often regarded as an eclectic Confucian master who accepted some form of utilitarian thoughts. This characteristic was also observed by some western scholars such as Benjamin I. Schwartz. In a recent study, I argued that the basic character of Xunzi’s philosophy is utilitarianism in a broad sense based on an examination on his intellectual criticism and political criticism. Xunzi asserts that humans are innately driven by self-interested desires, and he evaluates all intellectual works and political (...) behaviours by their utility. However, he does not limit utility to only basic animal desires such as food and sex. In Xunzi’s view, humans also have innate emotions; hence, these emotions should also be accounted for in their utility. This is similar to John Stuart Mill’s redefinition of Bentham’s concept of utility. Are Xunzi’s and Mill’s concepts of utility exactly the same? This question has yet to be examined. This article is a comparative study between utilitarianism and Xunzi’s philosophy which especially explores the compatibility of these two philosophies. (shrink)

Although the prevalence of facial recognition-based COVID-19 surveillance tools and techniques, China does not have a facial recognition law to protect its residents’ facial data. Oftentimes, neither the public nor the government knows where people’s facial images are stored, how they have been used, who might use or misuse them, and to what extent. This reality is alarming, particularly factoring in the wide range of unintended consequences already caused by good-intentioned measures and mandates amid the pandemic. Biometric data are matters (...) of personal rights and national security. In light of worrisome technologies such as deep-fake pornography, the protection of biometric data is also central to the protection of the dignity of the citizens and the government, if not the industry as well. This paper discusses the urgent need for the Chinese government to establish rigorous and timely facial recognition laws to protect the public’s privacy, security, and dignity amid COVID-19 and beyond. (shrink)

The Chinese character, he (和), “harmony,” occurs more than 100 times in the Liji (禮記; the Book of Rites). This accounts for over one‐third of the term's total number of occurrences in the 13 pre‐Qin Confucian classics. In this study, we engage with existing scholarship on the concept of “harmony” in Chinese culture and contribute to the discussion by analyzing the variety of senses that “harmony” has in the pre‐Qin Confucian classics, especially the Liji. We find that usages of the (...) term “he” (“harmony”) in the Liji fall into six categories, namely, self, external things, music, human relations, politics, and the universe. We hold that the ways in which harmony features in the Liji and other Confucian classics can help us understand the Chinese cultural presupposition that there exists “only one world,” meaning that this world encompasses both the natural and the supernatural, and that human beings are a holistic blend of body and heart‐mind, which does not give rise to any dualistic tension between body and mind. Based on our understanding of the unique Chinese worldview and the corresponding view on life, this study aims to give an account for the importance of harmony as a guideline within various areas of Chinese life. (shrink)

本书试图论证: 法治、自由、民主、人权等价值是植根于西方社会历史和文化土壤的西方文化价值, 并至少并不完全适合于中国文化的习性. 未来中国现代性的发展可能在一定程度上与这些价值相融, 甚至在一定程度上需要吸收或发展它们, 但是它们决不能构成未来中国现代性的核心价值.--.

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Ideas 63.1 (2002) 1-17 [Access article in PDF] What if the Father Commits a Crime? Rui Zhu Apparently, Socrates and Confucius respond similarly to the question if a son should turn in his father in the case of the father's misdemeanor. When Euthyphro, flaring his pride of his moral impartiality, tells Socrates that he is on his way to report his father because he (...) has thrown one of the household slaves into a ditch and left him bound there until he was dead, Socrates says, "Good Heaven! Certainly, Euthyphro, most men would not know how they could do this and be right. It is not the part of anyone to do this, but of one who is far advanced in wisdom." 1According to Socrates, only a man of high wisdom knows how to prosecute his father righteously, but Euthyphro does not appear to have this wisdom. When his interlocutor observes that an upright man in his state would bear witness against his father if he misappropriates a sheep, Confucius contradicts the interlocutor's understanding of uprightness by speaking in a matter-of-fact tone: "In my country the upright men are of quite another sort. A father will cover up for his son, and a son his father—which incidentally does involve a sort of up—rightness." 2Confucius stands on the same line with Socrates but seems the more radical of the two. Socrates does not directly refute Euthyphro and only suggests that he make sure he understands what he is doing before going any further. Socrates is not only typically Socratic—indirect and suggestive—but also sounds so reasonable that Euthyphro appears in contrast to be a reckless youth who harbors [End Page 1] only a faint understanding of morality. Confucius's response is more rigid, for he categorically dismisses an act of the Euthyphroian kind. He demands that father and son cover up for each other in the case of either one's guilt. Compared to Socrates, Confucius advocates the position that seems a little too strong and leaves no room for justice, while Socrates does not have that problem with justice. This is how we feel about Socrates and Confucius on our first impression. The prima facie observations that we make from the remarks of Socrates and Confucius seem both plain and unproblematic.By embedding these remarks into their respective social or philosophical cultures, this paper will show that our previous observations are not quite accurate. The apparent affinity of the Socratic and Confucian stances belies different underlying moral philosophies. We want to use their comments as bridges to explore the early Greek and Confucian ethics and show how different a picture we see after things are examined within their traditions.The issue of a possible father-son conflict may be treated as a case study of the early Greek (the Heroic era until the age of Socrates) and early Confucian (Confucius and Mencius) morals. There is a strong theme in the early Greek morals that allows, or sometimes demands, a son such as Euthyphro to prosecute his father for the sake of justice, because justice, instead of love (philein) or filial piety, is the governing principle in the early Greek ethics. Confucian ethics is founded on love (human-heartedness), which in turn is extended from the love between father and son. All moral principles including justice are derived from this extension of love. The mutual love of father and son then becomes the governing principle in the case of Confucianism. A Guilty Father: The Greek Motif The question, "What if the father commits a crime?" has a certain realistic aroma to a boy coming of age in the Hesiodic Greek world. That father has to be overcome by son before some relief from strife becomes possible is a familiar theme in Greek literature. In Hesiod's Theogony, Uranus (the sky) incurs hatred from all his newborn children since he hides them in their mother Gaia's womb and does not let them return to the light, for no reason... (shrink)

ABSTRACT There are two views on the nature of Chinese nationalism. The one view treats Chinese nationalism as political nationalism while the other recognises it as cultural nationalism. This paper argues that Chinese nationalism had been deeply shaped by Confucianism, which has two important and influential concepts of nationalism: tianxia天下and yi-xia夷夏. These two concepts reflect the two facets of Confucian nationalism. With the first facet, manifested in the concept of tianxia, Confucianism emphasizes cultural identity and the pursuit of a kind (...) of benevolent politics; the second facet, manifested in the concept of yi-xia, stresses political identity. As in Mencius, the concept of nationalism is based on his theory of human nature and self-cultivation, and the self-identity of a politician is transformable between the two levels of the yi-xia distinction, along with his self-cultivation. Thus, Confucian nationalism is based on self-cultivation, rather than self-identity. (shrink)

In Chinese scholarship, Xunzi is often regarded as an eclectic Confucian master who accepted some form of utilitarian thoughts (e.g. Fung Yu-lan, Mou Zongsan and Xu Fuguan). This characteristic was also observed by some western scholars such as Benjamin I. Schwartz. In a recent study, I argued that the basic character of Xunzi’s philosophy is utilitarianism in a broad sense based on an examination on his intellectual criticism and political criticism. Xunzi asserts that humans are innately driven by self-interested desires, (...) and he evaluates all intellectual works and political behaviours by their utility. However, he does not limit utility to only basic animal desires such as food and sex. In Xunzi’s view, humans also have innate emotions; hence, these emotions should also be accounted for in their utility. This is similar to John Stuart Mill’s redefinition of Bentham’s concept of utility. Are Xunzi’s and Mill’s concepts of utility exactly the same? This question has yet to be examined. This article is a comparative study between utilitarianism and Xunzi’s philosophy which especially explores the compatibility of these two philosophies. (shrink)

Zhuangzi is considered a creative poet-philosopher because of his use of imaginative images. He used the imaginative images of his system to construct the world of the Dao. He left the essence of material things as they are to speak for the mystery of existence itself, and let them express both the state of and the dream for human freedom. Zhuangzi’s way of using images shows his own lack of the understanding about images, and his lack of adequate assessments. He (...) used images in accord with his own personal preferences and fixed characteristics. He also had a tendency to equate the Dao which he experienced in his mind with the Dao itself. These shortcomings limit his improving and understanding of the Dao, so that his Dao failed to become more open to a wider existence. (shrink)

Technology has a pervasive and profound effect on the contemporary world, and engineers play a central role in all aspects of technological development. In order to hold paramount the safety, health, and welfare of the public, engineers must be morally committed and equipped to grapple with ethical dilemmas they confront.

本书通过比较研究揭示出,在生存主义哲学和道家思想对人之生存结构的理解方面,存在着深层的共识,这是二者之间展开深度对话的"客观基础".本书分为两大部分,第一部分,包括本研究的第一章和第二章,分别对海德格 尔存在与时间和萨特存在与虚无中的生存主义思想加以呈现,诠释,以期读者能够对生存主义哲学的"标本式"理论有所了解,并为后文的比较研究提供一定的理论铺垫.第三到八章,对道家思想与生存主义思想展开多维比较. 主要围绕"无"在生存结构中的地位和作用来展开,并努力揭示出,生存主义哲学和道家思想在人的"带无生存"这一点上,有着极为醒目的相通之处.然而,在此基础上产生的价值导向,却表现出同样醒目的分梳.通过分析道 家与生存主义哲学思想上重叠性与互补性,可能为融合东西方智慧,尤其是吸收中国传统道家智慧的现代生存哲学理论体系的建立提供一定的思想素材和理论参考.

A logic-enriched type theory is a type theory extended with a primitive mechanism for forming and proving propositions. We construct two LTTs, named and , which we claim correspond closely to the classical predicative systems of second order arithmetic and . We justify this claim by translating each second order system into the corresponding LTT, and proving that these translations are conservative. This is part of an ongoing research project to investigate how LTTs may be used to formalise different approaches (...) to the foundations of mathematics.The two LTTs we construct are subsystems of the logic-enriched type theory , which is intended to formalise the classical predicative foundation presented by Herman Weyl in his monograph Das Kontinuum. The system has also been claimed to correspond to Weyl’s foundation. By casting and as LTTs, we are able to compare them with . It is a consequence of the work in this paper that is strictly stronger than .The conservativity proof makes use of a novel technique for proving one LTT conservative over another, involving defining an interpretation of the stronger system out of the expressions of the weaker. This technique should be applicable in a wide variety of different cases outside the present work. (shrink)

Coercive subtyping offers a general approach to subtyping and inheritance by introducing a simple abbreviational mechanism to constructive type theories. In this paper, we study coercion completion in coercive subtyping and prove that the formal extension with coercive subtyping of a type theory such as Martin–Löf's type theory and UTT is a conservative extension. The importance of coherence conditions for the conservativity result is also discussed.

In this paper we present a study of adjectival/adverbial modification using modern type theories, i.e. type theories within the tradition of Martin-Löf. We present an account of various issues concerning adjectival/adverbial modification and argue that MTTs can be used as an adequate language for interpreting NL semantics. MTTs are not only expressive enough to deal with a range of modification phenomena, but are furthermore well-suited to perform reasoning tasks that can be easily implemented given their proof-theoretic nature. In MTT-semantics, common (...) nouns are interpreted as types rather than predicates. Therefore, in order to capture the semantics of adjectives adequately, one needs to meet the challenge of modeling CNs modified by adjectives as types. To explicate that this can be done successfully, we first look at the mainstream classification of adjectives, i.e. intersective, subsective and non-subsective adjectives. There, we show that the rich type structure available in MTTs, along with a suitable subtyping framework, offers an adequate mechanism to model these cases. In particular, this modelling naturally takes care of the characterising inferences associated with each class of adjectives. Then, more advanced issues on adjectival modification are discussed: degree adjectives, comparatives and multidimensional adjectives. There, it is shown that the use of indexed types can be usefully applied in order to deal with these cases. In the same vein, the issue of adverbial modification is discussed. We study two general typings for sentence and VP adverbs respectively. It is shown that the rich type structure in MTTs further provides useful organisational mechanisms in giving formal semantics for adverbs. In particular, we discuss the use of \-types to capture the veridicality/non-veridicality distinction and further discuss cases of intensional adverbs using the type theoretic notion of context. We also look at manner, subject and speech act adverbials and propose solutions using MTTs. Finally, we show that the current proof technology can help mechanically check the associated inferences. A number of our proposals concerning adjectival and adverbial modification have been formalised in the proof assistant Coq and many of the associated inference patterns are checked to be correctly captured. (shrink)

In this paper we propose a way to deal with natural language inference by implementing Modern Type Theoretical Semantics in the proof assistant Coq. The paper is a first attempt to deal with NLI and natural language reasoning in general by using the proof assistant technology. Valid NLIs are treated as theorems and as such the adequacy of our account is tested by trying to prove them. We use Luo’s Modern Type Theory with coercive subtyping as the formal language into (...) which we translate natural language semantics, and we further implement these semantics in the Coq proof assistant. It is shown that the use of a MTT with an adequate subtyping mechanism can give us a number of promising results as regards NLI. Specifically, it is shown that a number of inference cases, i.e. quantifiers, adjectives, conjoined noun phrases and temporal reference among other things can be successfully dealt with. It is then shown, that even though Coq is an interactive and not an automated theorem prover, automation of all of the test examples is possible by introducing user-defined automated tactics. Lastly, the paper offers a number of innovative approaches to NL phenomena like adjectives, collective predication, comparatives and factive verbs among other things, contributing in this respect to the theoretical study of formal semantics using MTTs. (shrink)

Zhu Xi is the most important of the twelfth-century neo-Confucianists. Some consider him second only to Confucius himself in his importance to Chinese philosophy as a whole, since it is his interpretation of Confucius that has been canonical since his lifetime. This short book, modeled after the Burton Watson "Basic Writings" volumes for Zhuangzi, Xunzi, and Han Feizi, is an accessible, one-volume introduction to Zhu Xi's influential philosophical system designed especially for course use. In "classifying" Zhu Xi's conversations in the (...) Classified Conversations of Master Zhu, Li Jingde dedicated the first thirteen chapters to conversations explaining his general philosophical system. Readers are introduced to his metaphysics of principle (li), psychophysical stuff (qi), spiritual beings (guishen), human nature (xing), mind-heart (xin), and emotions (qing); and to his program of self-cultivation-that is, the curriculum that Confucians should follow to attain moral perfection. Gardner argues that these chapters constitute the best overview of Zhu Xi's basic philosophical teachings, and selections from them form the basis of his volume. Occasionally, they are supplemented with passages from the Collected Literary Writings of Master Zhu and from Zhu's commentaries on the Classics. (shrink)

In nontheistic moral traditions, there is a typical ethical conundrum concerning the relation between cosmic order and human agency. Within those traditions, it is generally recognized that the universe has its own order and history that are independent of human will. A moral discourse has to find space to accommodate human agency in the midst of the iron grid of cosmic law. Both Confucius and Aurelius use the concept of timeliness (kairos) to resolve the difficult issue. But their philosophies take (...) on divergent paths. By studying their resolutions of the issue, we will be able to appreciate the distinctive nature of their nontheistic moral narratives. (shrink)

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As one of the three systems of China's traditional culture, Daoism has an important place in the history of Chinese philosophy. Based on the ideas of inaction performing all, the Way modeling spontaneity, and the dialectic of you [having, being] and wu [lacking, nonbeing], this article is a systematic exploration of Laozi's philosophy of denial, spontaneity, and atheism, as well as of the deep and lasting influence of his metaphysical principles on all schools of traditional Chinese philosophy.

In formal semantics based on modern type theories, some sentences may be interpreted as judgements and some as logical propositions. When interpreting composite sentences, one may want to turn a judgemental interpretation or an ill-typed semantic interpretation into a proposition in order to obtain an intended semantics. For instance, an incorrect judgement $$a:A$$ may be turned into its propositional form $$\textsc {is}(A,a)$$ and an ill-typed application p(a) into $$\textsc {do}(p,a)$$, so that the propositional forms can take part in logical compositions (...) that interpret composite sentences, especially those that involve negations and conditionals.In this paper, we propose an operator not that facilitates such a transformation. Introducing not axiomatically, with five axiomatic laws to govern its behaviour, we shall use it to define $$\textsc {is}$$ and $$\textsc {do}$$ and give examples to illustrate its use in semantic interpretation. The introduction of not into type theories is logically consistent – this is justified by showing that not can be defined by means of the heterogeneous equality $$\textrm{JMeq}$$ so that all of the axiomatic laws for not become provable. Therefore, since the extension with $$\textrm{JMeq}$$ preserves logical consistency, so does the extension with not. We shall also study conditions under which $$\textsc {is}$$ and $$\textsc {do}$$ operators can be used safely without the risk of over-generation. (shrink)

Abstract In ?On Making an Effort? E. J. Coffman develops what he takes to be a fairly serious problem for Robert Kane's positive theory of free choice, where the concept of efforts of will is pivotal.1 Coffman argues that the plausibility of Kane's libertarian account of free choice ?is inversely proportional to the plausibility of a certain principle of agency? (p. 12). And since the latter is quite plausible, the former is therefore ?at best fairly implausible? (p. 12). In what (...) follows I will show that Coffman's objection is in fact misplaced. Kanean libertarianism not only is in accordance with the essence of the principles of personal responsibility that Coffman advocates, it also affords a more plausible and intelligible account of the sources of personal responsibility superior to the proposed principles. (shrink)