We investigate a stochastic SIRS model with transfer from infectious to susceptible and nonlinear incidence rate. First, using stochastic stability theory, we discuss stochastic asymptotic stability of disease-free equilibrium of this model. Moreover, if the transfer rate from infectious to susceptible is sufficiently large, disease goes extinct. Then, we obtain almost surely exponential stability of disease-free equilibrium, which implies that noises can lead to extinction of disease. By the Lyapunov method, we give conditions to ensure that the solution of this (...) model fluctuates around endemic equilibrium of the corresponding deterministic model in average time. Furthermore, numerical simulations show that the fluctuation increases with increase in noise intensity. Finally, these theoretical results are verified by numerical simulations. Hence, noises play a vital role in epidemic transmission. Our results improve and extend previous related results. (shrink)

The activity of synsedimentary faults plays an important role in controlling the distribution of sand bodies in basins and furthermore the porosity and permeability of reservoirs. We have used fault interpretation, the method of image and granularity size analysis, and the seismic pumping effect to investigate the control of the activity of the Kongdong fault on the development degree of the dissolution pores and grain size, further studying the controlling mechanism of the activity of synsedimentary faults on reservoir quality. The (...) results showed that the slip rate of synsedimentary faults is one of the main factors in controlling reservoir quality. The slip rate controls the accommodation space and hydrodynamic conditions and it furthermore controls the grain size. The higher the slip rate, the bigger the grain size in the downthrow wall of synsedimentary faults; the seismic pump produced by synsedimentary faults activity also controls the development degree of dissolution pores. The development degree of dissolution pores in the downthrown wall of synsedimentary faults is greater than that in the upthrown wall. Dissolution pores are more developed in areas with a large slip rate of synsedimentary faults. Porosity increases gradually with the increase of plane porosity of dissolution pores, whereas the changes of permeability are not obvious. (shrink)

A fundamental way in which human thought has developed has been constantly to explain the earliest "classics" that are the source of that thought. All in all, the number of such classics is not very high, their explanations are past counting. Moreover, they are constantly increasing, giving rise to an explanatory chain deriving from the classics. In the development of Chinese philosophy, this aspect is particularly noticeable, so that one can describe Chinese philosophy as a continual explanation of the classics. (...) This holds for both Confucianism and Daoism. The main classics of Daoism are the Laozi and the Zhuangzi. These two works have been constantly reread and reinterpreted throughout history. From the late nineteenth century onward, Chinese philosophy came into closer contact with Western philosophy. Foreign concepts were brought in to provide philosophers with new "insight." Some thinkers applied this new insight or these foreign concepts to the Daoist classics. In this way, they brought a new explanation of the Daoist classics and enriched the ways of interpreting the texts.1 Paving the way in this direction were Yan Fu . Zhang Taiyan , Liang Qichao , Wang Guowei , and Hu Shi. (shrink)

Hao Wang was one of the few confidants of the great mathematician and logician Kurt Gödel. _A Logical Journey_ is a continuation of Wang's _Reflections on Gödel_ and also elaborates on discussions contained in _From Mathematics to Philosophy_. A decade in preparation, it contains important and unfamiliar insights into Gödel's views on a wide range of issues, from Platonism and the nature of logic, to minds and machines, the existence of God, and positivism and phenomenology. The impact of (...) Gödel's theorem on twentieth-century thought is on par with that of Einstein's theory of relativity, Heisenberg's uncertainty principle, or Keynesian economics. These previously unpublished intimate and informal conversations, however, bring to light and amplify Gödel's other major contributions to logic and philosophy. They reveal that there is much more in Gödel's philosophy of mathematics than is commonly believed, and more in his philosophy than his philosophy of mathematics. Wang writes that "it is even possible that his quite informal and loosely structured conversations with me, which I am freely using in this book, will turn out to be the fullest existing expression of the diverse components of his inadequately articulated general philosophy." The first two chapters are devoted to Gödel's life and mental development. In the chapters that follow, Wang illustrates the quest for overarching solutions and grand unifications of knowledge and action in Gödel's written speculations on God and an afterlife. He gives the background and a chronological summary of the conversations, considers Gödel's comments on philosophies and philosophers, and his attempt to demonstrate the superiority of the mind's power over brains and machines. Three chapters are tied together by what Wang perceives to be Gödel's governing ideal of philosophy: an exact theory in which mathematics and Newtonian physics serve as a model for philosophy or metaphysics. Finally, in an epilog Wang sketches his own approach to philosophy in contrast to his interpretation of Gödel's outlook. (shrink)

Di er ci Qimeng (The second Enlightenment), by Wang Zhihe and Fan Meijun, is a timely book in Chinese about constructing a philosophical and practical way to contend with China's postmodernization. It combines Whitehead's process philosophy with a focus on Chinese modernity in order to map out a desirable postmodern society. It addresses the problem on several dimensions from policy making to basic value systems. The range of themes can be seen from the topics of the book's twelve chapters: (...) (1) Reverence for Land—Toward a Constructive Postmodern Agriculture; (2) Becoming Fully Human—Toward a Postmodern Organic Education; (3) Survival of the Harmonious-Toward a Constructive Postmodern Harmonious Culture; (4) Beauty .. (shrink)

A fundamental way in which human thought has developed has been constantly to explain the earliest "classics" that are the source of that thought. All in all, the number of such classics is not very high, their explanations are past counting. Moreover, they are constantly increasing, giving rise to an explanatory chain deriving from the classics. In the development of Chinese philosophy, this aspect is particularly noticeable, so that one can describe Chinese philosophy as a continual explanation of the classics. (...) This holds for both Confucianism and Daoism. The main classics of Daoism are the Laozi and the Zhuangzi. These two works have been constantly reread and reinterpreted throughout history. From the late nineteenth century onward, Chinese philosophy came into closer contact with Western philosophy. Foreign concepts were brought in to provide philosophers with new "insight." Some thinkers applied this new insight or these foreign concepts to the Daoist classics. In this way, they brought a new explanation of the Daoist classics and enriched the ways of interpreting the texts.1 Paving the way in this direction were Yan Fu. Zhang Taiyan, Liang Qichao, Wang Guowei, and Hu Shi. (shrink)

A fundamental way in which human thought has developed has been constantly to explain the earliest "classics" that are the source of that thought. All in all, the number of such classics is not very high, their explanations are past counting. Moreover, they are constantly increasing, giving rise to an explanatory chain deriving from the classics. In the development of Chinese philosophy, this aspect is particularly noticeable, so that one can describe Chinese philosophy as a continual explanation of the classics. (...) This holds for both Confucianism and Daoism. The main classics of Daoism are the Laozi and the Zhuangzi. These two works have been constantly reread and reinterpreted throughout history. From the late nineteenth century onward, Chinese philosophy came into closer contact with Western philosophy. Foreign concepts were brought in to provide philosophers with new "insight." Some thinkers applied this new insight or these foreign concepts to the Daoist classics. In this way, they brought a new explanation of the Daoist classics and enriched the ways of interpreting the texts.1 Paving the way in this direction were Yan Fu. Zhang Taiyan, Liang Qichao, Wang Guowei, and Hu Shi. (shrink)

In this first extended treatment of his life and work, Hao Wang, who was in close contact with Godel in his last years, brings out the full subtlety of Godel's ideas and their connection with grand themes in the history of mathematics and ...

First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method (...) of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge. (shrink)

Quantum cognition research applies abstract, mathematical principles of quantum theory to inquiries in cognitive science. It differs fundamentally from alternative speculations about quantum brain processes. This topic presents new developments within this research program. In the introduction to this topic, we try to answer three questions: Why apply quantum concepts to human cognition? How is quantum cognitive modeling different from traditional cognitive modeling? What cognitive processes have been modeled using a quantum account? In addition, a brief introduction to quantum probability (...) theory and a concrete example is provided to illustrate how a quantum cognitive model can be developed to explain paradoxical empirical findings in psychological literature. (shrink)

Question order effects are commonly observed in self-report measures of judgment and attitude. This article develops a quantum question order model (the QQ model) to account for four types of question order effects observed in literature. First, the postulates of the QQ model are presented. Second, an a priori, parameter-free, and precise prediction, called the QQ equality, is derived from these mathematical principles, and six empirical data sets are used to test the prediction. Third, a new index is derived from (...) the model to measure similarity between questions. Fourth, we show that in contrast to the QQ model, Bayesian and Markov models do not generally satisfy the QQ equality and thus cannot account for the reported empirical data that support this equality. Finally, we describe the conditions under which order effects are predicted to occur, and we review a broader range of findings that are encompassed by these very same quantum principles. We conclude that quantum probability theory, initially invented to explain order effects on measurements in physics, appears to be a powerful natural explanation for order effects of self-report measures in social and behavioral sciences, too. (shrink)

Dispositionality is a modal notion of a certain sort. When an object is said to have a disposition, we typically understand this to mean that under certain circumstances, the object would behave in a certain way. For instance, a fragile object is disposed to break when dropped onto a concrete surface. It need not actually break - its being fragile has implications that, so to speak, point beyond the actual world. According to dispositionalism, all modal features of the world may (...) be accounted for in terms of its dispositional features. My aim in this paper is to assess the prospects for dispositionalism by examining the most promising theories. Sections 1 and 2 clarify the assumptions and desiderata of a successful dispositionalist theory of modality. Section 3 introduces the principles governing the dispositionalist theories that apparently meet the desiderata. Sections 4 through 6 show that dispositionalism nonetheless faces three problems: while dispositions help account for modal features of the world that are local, diachronic, or gradable, they cannot account for certain modal features of the world that are global, synchronic, or absolute. I end by discussing the costs of preserving dispositionalism. (shrink)

Although the history of adopting the Western Corporate Social Responsibility (CSR) concept in China spans less than 20 years, the core principles of CSR are not new and can be legitimately interpreted within traditional Chinese culture. We find that the Western CSR concepts do not adapt well to the Chinese market, because they have rarely defined the primary reason for CSR well, and the etic approach to CSR concepts does not take the Chinese reality and culture into consideration. This article (...) resolves these problems and contributes a new definition of CSR, called here – the Harmony Approach to CSR. Simply, the Chinese harmony approach to CSR means 'respecting nature and loving people'. It is the first time CSR has been defined in relation to Confucian interpersonal harmony and Taoist harmony between man and nature. Conceptually, this definition will broaden our understanding and will fit the characteristics of the Chinese market better. The idea of incorporating cultural contexts into CSR concepts could also contribute to future CSR studies. In business practice, it will help corporations to adopt CSR on their own initiative. The proposed virtues of traditional Chinese wisdom, in particular, will guide corporations to a new way of improving their CSR performance. (shrink)

In the literature, different axiomatizations of Public Announcement Logic (PAL) have been proposed. Most of these axiomatizations share a “core set” of the so-called “reduction axioms”. In this paper, by designing non-standard Kripke semantics for the language of PAL, we show that the proof system based on this core set of axioms does not completely axiomatize PAL without additional axioms and rules. In fact, many of the intuitive axioms and rules we took for granted could not be derived from the (...) core set. Moreover, we also propose and advocate an alternative yet meaningful axiomatization of PAL without the reduction axioms. The completeness is proved directly by a detour method using the canonical model where announcements are treated as merely labels for modalities as in normal modal logics. This new axiomatization and its completeness proof may sharpen our understanding of PAL and can be adapted to other dynamic epistemic logics. (shrink)

Using agency theory, this study empirically examined the relationship between board composition and corporate philanthropy. Generally, the ratio of insiders to outsiders, the percentage of insider stock ownership, and the proportion of female and minority board members were found to be positively and significantly associated with firms'' charitable contributions.