In this paper we investigate problems about densities ofe-generic,s-generic andp-generic degrees. We, in particular, show that allp-generic degrees are non-branching, which answers an open question by Jockusch who asked: whether alls-generic degrees are non-branching and refutes a conjecture of Ingrassia; the set of degrees containing r.e.p-generic sets is the same as the set of r.e. degrees containing an r.e. non-autoreducible set.

We prove that every Turing degree a bounding some non-GL₂ degree is recursively enumerable in and above (r.e.a.) some 1-generic degree.

We prove that there is no sw-complete c.e. real, negatively answering a question in [6].

We consider how to represent the measurable sets in an infinite measure space. We use sequences of simple measurable sets converging under metrics to represent general measurable sets. Then we study the computability of the measure and the set operators of measurable sets with respect to such representations.

We investigate in the frame of TTE the computability of functions of the measurable sets from an infinite computable measure space such as the measure and the four kinds of set operations. We first present a series of undecidability and incomputability results about measurable sets. Then we construct several examples of computable topological spaces from the abstract infinite computable measure space, and analyze the computability of the considered functions via respectively each of the standard representations of the computable topological spaces (...) constructed. (shrink)

We investigate the initial segment complexity of random reals. Let K denote prefix-free Kolmogorov complexity. A natural measure of the relative randomness of two reals α and β is to compare complexity K and K. It is well-known that a real α is 1-random iff there is a constant c such that for all n, Kn−c. We ask the question, what else can be said about the initial segment complexity of random reals. Thus, we study the fine behaviour of K (...) for random α. Following work of Downey, Hirschfeldt and LaForte, we say that αK β iff there is a constant such that for all n, . We call the equivalence classes under this measure of relative randomness K-degrees. We give proofs that there is a random real α so that lim supn K−K=∞ where Ω is Chaitin's random real. One is based upon work of Solovay, and the other exploits a new idea. Further, based on this new idea, we prove there are uncountably many K-degrees of random reals by proving that μ=0. As a corollary to the proof we can prove there is no largest K-degree. Finally we prove that if n ≠ m then the initial segment complexities of the natural n- and m-random sets and Ω︀) are different. The techniques introduced in this paper have already found a number of other applications. (shrink)

On definable filters in computably enumerable degrees.

In this paper, we will prove that the plus cupping degrees generate a definable ideal on c.e. degrees different from other ones known so far, thus answering a question asked by Li and Yang (Proceedings of the 7th and the 8th Asian Logic Conferences. World Scientific Press, Singapore, 2003).

Moderate pragmatic invariantism (MPI) is a proposal to explain why our intuitions about the truth-value of knowledge claims vary with stakes and salient error-possibilities. The basic idea is that this variation is due to a variation not in the propositions expressed (as epistemic contextualists would have it) but in the propositions conversationally implicated. I will argue that MPI is mistaken: I will distinguish two kinds of implicature, namely, additive and substitutional implicatures. I will then argue, first, that the proponent of (...) MPI cannot appeal to additive implicatures because they don’t affect truth-value intuitions in the required way. Second, I will argue that the proponent of MPI cannot appeal to substitutional implicatures either because, even though they may have the required effects on truth-value intuitions, they don’t feature in the relevant cases. It follows that MPI is mistaken because whether the proponent of MPI appeals to additive or substitutional implicatures, at least one of the claims that make up her view is false. Along the way, I will suggest principles about implicatures that should be relevant not only to MPI, but to pragmatic accounts of seemingly semantic intuitions in general. (shrink)

This article brings together two sets of data that are rarely discussed in concert; namely, disagreement and testimony data. I will argue that relativism yields a much more elegant account of these data than its major rival, contextualism. The basic idea will be that contextualists can account for disagreement data only by adopting principles that preclude a simple account of testimony data. I will conclude that, other things being equal, we should prefer relativism to contextualism. In making this comparative point, (...) I will also defend self-standing relativist accounts of disagreement and testimony data. (shrink)

In most modal logics, atomic propositional symbols are directly representing the meaning of sentences (such as sets of possible worlds). In other words, they use only rigid propositional designators. This means they are not able to handle uncertainty in meaning directly at the sentential level. In this paper, we offer a modal language involving non-rigid propositional designators which can also carefully distinguish de re and de dicto use of these designators. Then, we axiomatize the logics in this language with respect (...) to all Kripke models with multiple modalities and with respect to S5 Kripke models with a single modality. (shrink)

In this paper we prove that any c. e. degree is splittable with an c. e. infimum over any lesser c. e. degree in the class of d-c. e. degrees.

本书内容包括:四岳之后、姓氏称谓、东海上人、早年坎坷、时定入周、为文王师、封建齐国、强国方略、政略特色等。.

Ben shu jie shao le gong zi zhen, wei yuan, yan fu, kang you wei, tan si tong, liang qi chao, chen tian hua, zhang bing lin deng wan qing si xiang jia de zhe xue si xiang.

Based on the assumption that the long-term value of a venture capital satisfies the algebraic Brownian motion, we develop a continuous-time exit model of venture capital under different exit modes, namely, initial public offering and mergers and acquisitions. The employee incentive problem is analyzed jointly with the exit decision of the firm in terms of the exit timing and the exit mode. Further, the problem of capital exit is considered from two perspectives, namely, optimal venture capital and social welfare maximization, (...) and the differences between these exit decisions are compared. Our model predicts that the timing of an IPO, the purpose of which is to maximize the utility of the capitalists, lags behind the exit timing, whose purpose is to maximize social welfare. Using a numerical analysis, this paper also proves that increasing the production efficiency, lowering the interest rates, and improving risk management can make the exit decision of venture capitalists converge with that of maximizing social welfare. (shrink)

EDITOR’S ABSTRACTThe popular Chinese portrayal of the victory of Confucianism, or in Chinese terms “dismiss the hundred schools of thought and revere only the Confucian arts,” has been challenged by some scholars in the past decades. Ding’s essay illustrates not only how it has been challenged but also how the catch phrase influences the scholarly discussion. As he indicates, recent Chinese studies that attempt to subvert the traditional theory share the same “flow.” They fail to note that the expression (...) “dismiss the hundred schools of thought and revere only the Confucian arts” has had very negative connotations since it was invoked by Yi Baisha 易白沙 to harshly denounce Confucianism for being responsible for the centuries-long Chinese autocracy. (shrink)

EDITOR’S ABSTRACTThis article argues that the early Laozi text underwent three stages: The first had section divisions on the basis of the meaning. The second stage was the formative period of the Laozi text influenced by cosmological numerology; the Silk Manuscript version A is its testimony. The third stage finalized the text through the canonization of the Classic by Emperor Jing; it is represented by the Peking University Han Bamboo Slips, Yan Zun, and Liu Xiang versions and became the received (...) edition. From the Han Bamboo Slips to the Liu Xiang version, the Laozi’s two parts and section numbering became increasingly balanced and symmetric. Ding urges scholars to pay attention to all these developments when studying the Laozi text. (shrink)

This book explores how one can bring about changes in the brain through meditation, both through attention-focus training and through compassion training. Recent findings in the natural sciences have confirmed that it is possible for humans to achieve these structural and functional changes through various life-style practices. It is argued that meditation enables us to influence some aspects of our biological make-up and, for example, could boost our cognitive flexibility as well as our ability to act compassionate. Such changes are (...) likely to facilitate the instilling of a number of epistemic virtues which have great bearing on our quality of life. This book offers the reader an accessible introduction to a set of neuro-enhancement methods, with a special focus on meditation techniques, and explores how such practices could contribute to make us better decision-makers and improve our moral virtues. The book is suitable for anyone looking for a text discussing the effects of neuro-enhancement from a secular ethics perspective. (shrink)

This book shows how pressing issues in bioethics – e.g. the ownership of biological material and human cognitive enhancement – successfully can be discussed with in a virtue ethics framework. This is not intended as a complete or exegetic account of virtue ethics. Rather, the aim here is to discuss how some key ideas in Aristotle’s Nicomachean Ethics, when interpreted pragmatically, can be a productive way to approach some hot issues in bioethics. In spite of being a very promising theoretical (...) perspective virtue ethics has so far been underdeveloped both in bioethics and neuroethics and most discussions have been conducted in consequentialist and/or deontological terms. ​. (shrink)

This study is aimed to identify the relative effect of online review ratings and perceived crowding on purchase intentions of a consumer. Our study also investigated the contingent effect of gender and perceived crowding between the relationship of exogenous and endogenous variables. This study was conducted in the Malaysian restaurant industry. We applied the purposive sampling technique to identify respondents, the mall intercept survey method was used for data collection. Smart PLS software was applied for data analysis. This study demonstrates (...) through its results that online review ratings and perceived crowding have a positive effect on purchase intentions of a consumer. Moreover, if a consumer perceives crowding at a restaurant, this has a positive contingent effect on the relationship between review ratings and purchase intentions. This demonstrates that the consumer is more inclined to choose a restaurant with a high online review rating and has high perceived crowding at some unfamiliar place. Lastly, no evidence is found for the gender difference between review rating and purchase intentions; however, gender shows contingent effect and results confirmed that males preferred more crowded restaurants as compared to females. There are theoretical and practical implications for managers in the findings of this study. (shrink)

This paper connects the following four topics: a class of generalized graphs whose relations do not have fixed arities called hypergraphs, a family of non-normal modal logics rejecting the aggregative axiom, an epistemic framework fighting logical omniscience, and the classical group knowledge modality of ‘someone knows’. Through neighborhood frames as their meeting point, we show that, among many completeness results obtained in this paper, the limit of a family of weakly aggregative logics is both exactly the modal logic of hypergraphs (...) and also the epistemic logic of local reasoning with veracity and positive introspection, and upon adding a single combinatorial axiom, it is also the logic of ‘someone knows’ for a fixed finite number of positively introspective agents. At the core of all these completeness results is a new canonical neighborhood model construction for monotone modal logics that is capable of dealing with all these diverse cases. We also provide an axiomatization for the logic of all non-n-colorable hypergraphs based on a filtration argument that also shows the decidability of the logics of hypergraphs we study. (shrink)

As a pair of important categories in traditional Chinese culture, "ming 命 (destiny or decrees)" and "tian ming 天命 (heavenly ordinances)" mainly refer to the constraints placed on human beings. Both originated from "ling 令 (decrees)," which evolved from "wang ling 王令 (royal decrees)" into "tian ling 天令 (heavenly decrees)," and then became "ming" from a throne because of the decisive role of "heavenly decrees" over a throne. "Ming" and "tian ming" have different definitions: "Ming" represented the limits Heaven placed (...) on the natural lives of human beings and was an objective force that men could not direct, but was embodied in human beings as their "destiny"; "Tian ming" reflected the moral ideals of human beings in their self-identification; It originated in man but had to be verified by Heaven, and it was therefore the true ordinance that Heaven placed on human beings. "Ming" and "tian ming" are two perspectives on the traditional relationship between Heaven and human beings, and at the same time Confucians and Daoists placed different emphasis on them. /// 摘要 "命" 与 "天命" 是传统文化中的-对重要范畴，主要指人所受到的限制。 二者都起源 "令", 由 "王令" "而" 天令又因 "天令" 对王权的决定作用从 而成为王权之 "命" 。"命" 与 "天命" 有不同规定 "命" 体现着天对人之自然 生命的限制，表现的是人所无法驾驭的客观力量，但落实于人并表现为人之 "命" ; "天命" 体现的则是人之自我确认的道德理想，其虽然出于人却又必须证之于天， 所以是天之真正的命于人者。命与天命，既体现了传统天人关系的双重视角，同时 也是儒道两家不同探索侧重的一个基本分野。. (shrink)

Bertrand Russell, the great philosopher, was extremely prolific in various fields of philosophy, such as metaphysics, mathematical logic and mathematical philosophy, linguistic philosophy, ethics, epistemology, and social and political philosophy, but left little legacy in aesthetics. Some scholars regretted that “If the 20th-century had seen any polymath, Russell is the one. The only branch of philosophy he did not write on is aesthetics.” Although Russell did not write a book or article specifically on aesthetics, discussions on the subject can be (...) found in his various writings, for example, the most prominent proposal of “the beauty of mathematics.” In addition, he also talked about how agnostics explain the beauty and harmony of nature from the perspective of epistemology. Views on aesthetics are scattered in Russell's writings, and no consistent views have been formed; some fragmented ideas about aesthetics are scattered in different philosophical writings. Compared with his profound contribution to other fields of philosophy, Russell did not deal with aesthetic issues systematically, nor did he attempt to answer the basic questions of aesthetics. In addition to personal qualities, there were certain constraints of the greater social environment. One of the main reasons is that in the English world of the 20th century, the analytical philosophy of language occupied the central stage, so that the space reserved for ethics, aesthetics, and political philosophy was quite limited. Furthermore, aesthetics was indeed not a popular philosophical topic culturally acceptable at the time. (shrink)

Journal of Chinese Philosophy, EarlyView.