Let K be affine, that is, \\in {\mathbb {R}}^{n+m}: y_{1}=\cdots =y_{m}=0\}\). We compute the sharp constant of Hardy inequality related to the distance d for polyharmonic operator. Moreover, we show that there exists a constant \ such that for each \\), there holds $$\begin{aligned} \int _{{\mathbb {R}}^{n+m}}|\nabla ^{k} u|^{2}\mathrm{d}x\mathrm{d}y-c_{m,k}\int _{{\mathbb {R}}^{n+m}}\frac{u^{2}}{|y|^{2k}}\mathrm{d}x\mathrm{d}y\ge C\left ^{\frac{n+m-2k}{n+m}}, \end{aligned}$$where \, \}{n+m-2k}\), \p}{2}-n-m\) and \ is the sharp Hardy constant. These inequalities generalize the result of Maz’ya ) and Lu and the second author for polyharmonic operators). (...) In order to prove the main result, we establish some Poincaré–Sobolev inequalities on hyperbolic space which is of independent interest. (shrink)

Individual health savings accounts are an important part of the current basic medical insurance system for urban workers in China. Since 1998 when the system of personal medical insurance accounts was first implemented, there has been considerable controversy over its function and significance within different social communities. This paper analyzes the main problems in the practical implementation of individual medical insurance accounts and discusses the social and cultural foundations for the establishment of family health savings accounts from the perspective of (...) Chinese Confucian familism. Accordingly, it addresses the direction of the reform and the development of the current system of individual health insurance accounts in China. (shrink)

Ideal interpretation is understanding a text in the best possible way. It is usually used when the text has a canonical status, such as the Bible or the U.S. Constitution. We argue that Zhu Xi’s view about interpreting the Four Books and Ronald Dworkin’s view about constitutional interpretation are examples of ideal interpretation and that their basic principles are similar. Each holds, roughly, that their target text contains moral truth; that the author’s mind requires the mediation of learning; that the (...) purpose of interpretation is not only to lead the reader to the moral truth but to become a better person; that all propositions are about the same moral truth or about political justice; that the interpretation ultimately must come from oneself, purged of prejudices; and that the only correct interpretation is one that captures the original meaning. (shrink)

Arbuscular mycorrhizal fungi are considered as a potential biotechnological tool for improving phytostabilization efficiency and plant tolerance to heavy metal-contaminated soils. However, the mechanisms through which AMF help to alleviate metal toxicity in plants are still poorly understood. A greenhouse experiment was conducted to evaluate the effects of two AMF species on the growth, Pb accumulation, photosynthesis and antioxidant enzyme activities of a leguminous tree at Pb addition levels of 0, 500, 1000 and 2000 mg kg-1 soil. AMF symbiosis decreased (...) Pb concentrations in the leaves and promoted the accumulation of biomass as well as photosynthetic pigment contents. Mycorrhizal plants had higher gas exchange capacity, non-photochemistry efficiency, and photochemistry efficiency compared with non-mycorrhizal plants. The enzymatic activities of superoxide dismutase, ascorbate peroxidases and glutathione peroxidase were enhanced, and hydrogen peroxide and malondialdehyde contents were reduced in mycorrhizal plants. These findings suggested that AMF symbiosis could protect plants by alleviating cellular oxidative damage in response to Pb stress. Furthermore, mycorrhizal dependency on plants increased with increasing Pb stress levels, indicating that AMF inoculation likely played a more important role in plant Pb tolerance in heavily contaminated soils. Overall, both F. mosseae and R. intraradices were able to maintain efficient symbiosis with R. pseudoacacia in Pb polluted soils. AMF symbiosis can improve photosynthesis and reactive oxygen species scavenging capabilities and decrease Pb concentrations in leaves to alleviate Pb toxicity in R. pseudoacacia. Our results suggest that the application of the two AMF species associated with R. pseudoacacia could be a promising strategy for enhancing the phytostabilization efficiency of Pb contaminated soils. (shrink)

ABSTRACT: Many of the results of Timothy Williamson's Knowledge and Its Limits depend upon his argument that many, if not all, of our mental states fail to be luminous in the sense that if we are in them, then we are in a position to know that we are in them. The purpose of this article is to show that his argument is unsound. I conclude by distinguishing between partial and total luminosity, and by arguing that even if mental states (...) are not totally luminous, they are at least partially so.RÉSUMÉ: Plusieurs des résultats du livre de Timothy Williamson, Knowledge and Its Limits dépendent de son argument à l'effet que la plupart, sinon tous nos états mentaux ne sont pas lumineux au sens où tout en se trouvant dans un tel état, nous sommes en position, de savoir que tel est notre état. Cet article a pour objectif de démontrer que ce raisonnement ne tient pas. Nous concluons par une distinction entre luminosité partielle ou complète et soutenons que, même si les états mentaux ne sont pas entièrernent clairvoyants, ils le sont en partie. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:The Great Synthesis of Wang Yang Ming Neo-Confucianism in Korea: The Chonŏn (Testament) by Chŏng Chedu (Hagok) by Edward Y.J. ChungMaria Hasfeldt Long (bio)The Great Synthesis of Wang Yang Ming Neo-Confucianism in Korea: The Chonŏn (Testament) by Chŏng Chedu (Hagok). By Edward Y.J. Chung. Landham: Lexington Books, 2020. Pp. vii+ 351. Hardcover $137.00, isbn 978-1-7936-1469-8. The Korean Neo-Confucian tradition during the Chosŏn dynasty (1392–1910) was dominated (...) by the orthodox Sŏngnihak (School of Human Nature and Principle), which is also known as the Chŏngjuhak (Cheng–Zhu School). This school of Neo-Confucianism followed the doctrines and teachings of the Great Synthesizer Zhu Xi (1130–1200) to such a point that other Neo-Confucian schools were labeled as wrong and even persecuted until the late nineteenth century. One of these schools was Simhak (School of the Mind/Heart) established by the Chinese scholar Wang Yangming (1472–1529), which during the Ming dynasty (1382–1644) had grown to rival the Cheng–Zhu school. However, the academic-political power of the Cheng–Zhu school in Korea managed to suppress Yangming scholarship and maintain dominance throughout the dynasty. Despite that, a few scholars did take up the scholarship of Simhak in Korea, with the most influential being Chŏng Chedu, also known as Hagok (1649–1736) (p. 4). In his book, The Great Synthesis of Wang Yang Ming Neo-Confucianism in Korea: The Chonŏn (Testament) by Chŏng Chedu (Hagok), Edward Y.J. Chung presents not only an annotated translation of Hagok's main writings but also a look into intellectual scholarship that opposed the orthodoxy of the Cheng–Zhu school of Korea. This in-depth study and translation of Hagok into English was motivated by the lack of attention in Western scholarship on Korean Neo-Confucianism. It presents a study that goes beyond the three most famous scholars, Yi Hwang T'oegye (1501–1570), Yi I Yulgok (1536–1584), and Chŏng Yagyong Tasan (1762–1836), who founded the three mainstream schools of the Chosŏn dynasty. According to Chung, Hagok's writing not only represents important aspects of intellectual history but also serves as a fourth and lesser-known school of Korean Neo-Confucian thinking that should be placed on the same level as the other three. Unlike other Korean scholars who tried to take up the Yangming doctrine, Hagok did not care that the doctrine was prohibited. This set him apart from other scholars. Despite the Cheng–Zhu school being the "right learning," Hagok did not agree with the majority of it and based his theories on the Yangming doctrine. Although Hagok openly followed the Yangming doctrine, he did not do so blindly. [End Page 1] Hagok was aware that Yangming's theories had their flaws and he agreed with some theories of the Cheng–Zhu school (p. 7–8). This resulted in him trying to synthesize the two schools into one harmonious doctrine, which is why Chung believes Hagok to be important and has undertaken the task of bringing attention to this Korean scholar. Consisting of two distinct parts, Chung gives the reader a solid introduction to Hagok and his main theories via the selected translations from his most influential text, Chonŏn, which can be translated into "testament" or "living words." The first part of the book is divided into notes on the translation itself, such as transliteration, citation style, abbreviations, and, more importantly, how and why Chung selected the sections of the Chonŏn that have been translated. Through the selection, translation, annotation, and discussion of forty-one important essays from Chonŏn's three parts, Chung wishes to show the heart of Hagok's Neo-Confucian thought (p. x). The Chonŏn is not organized according to any thematic system and consists of different paragraphs, notes, and comments. Chung has, therefore, chosen which parts to translate in order to best portray Hagok's interpretation of the key concepts, the theories found in the Yangming Neo-Confucianism, and Hagok's criticism of Zhu Xi and T'oegye. All of this is properly introduced and explained in... (shrink)

In several recent issues of this journal, I argued for an account of property possession as strict, numerical identity. While this account has stuck some as being highly idiosyncratic in nature, it is not entirely something new under the sun, since as I will argue in this paper, it turns out to have a historic precedent in Plato⠀™ s theory of forms. Indeed, the purpose of this paper is twofold. The first is to show that my account of property (...) possession can be utilized to provide a novel interpretation of Plato⠀™ s theory of forms. And the second is to show that once it has been divorced from a variety of implausible doctrines with which it has historically been wedded, Plato⠀™ s central insight that all properties possess themselves, far from being of mere historical interest, is independently plausible, ironically enough, even from an empirical point of view. (shrink)

I often tell my students that the only thing that is not controversial in philosophy is that everything else in it is controversial. While this might be a bit of an exaggeration, it does contain a kernel of truth, as many exaggerations do: philosophy is a highly contentious discipline. So it is remarkable the extent to which there is agreement in the philosophy of religion amongst theists, agnostics, and atheists alike that John Mackie’s argument for atheism is either invalid or (...) unsound. As a result, the focus has entirely shifted from the logical problem of evil to the so-called evidential one. But I think that this is a mistake, not necessarily because I think Mackie’s argument is sound, but rather because I reject an assumption made by apparently all parties to the debate, which is that there is only one logical problem of evil. Accordingly, the purpose of this paper is to defend a deductive argument that God* does not exist. As far as I can tell, the basic idea of this argument is a novel one: while Mackie’s argument has a more or less consequentialist framework, mine has a deontological one. The evil of which I will speak is that of our having been thrown into the world. (shrink)

Presenting evidence from the social brain, we argue that neural reuse is a dynamic, socially organized process that is influenced ontogenetically and evolutionarily by the cultural transmission of mental techniques, values, and modes of thought. Anderson's theory should be broadened to accommodate cultural effects on the functioning of architecturally similar neural systems, and the implications of these differences for reuse.