For a set x, let S(x) be the set of all permutations of x. We prove by the method of permutation models that the following statements are consistent with ZF: (1) There is an infinite set x such that |p(x)|<|S(x)|<|seq^1-1(x)|<|seq(x)|, where p(x) is the powerset of x, seq(x) is the set of all finite sequences of elements of x, and seq^1-1(x) is the set of all finite sequences of elements of x without repetition. (2) There is a Dedekind infinite set (...) x such that |S(x)|<|[x]^3| and such that there exists a surjection from x onto S(x). (3) There is an infinite set x such that there is a finite-to-one function from S(x) into x. (shrink)

For a set x, let ${\cal S}\left$ be the set of all permutations of x. We prove in ZF several results concerning this notion, among which are the following: For all sets x such that ${\cal S}\left$ is Dedekind infinite, $\left| {{{\cal S}_{{\rm{fin}}}}\left} \right| < \left| {{\cal S}\left} \right|$ and there are no finite-to-one functions from ${\cal S}\left$ into ${{\cal S}_{{\rm{fin}}}}\left$, where ${{\cal S}_{{\rm{fin}}}}\left$ denotes the set of all permutations of x which move only finitely many elements. For all sets (...) x such that ${\cal S}\left$ is Dedekind infinite, $\left| {{\rm{seq}}\left} \right| < \left| {{\cal S}\left} \right|$ and there are no finite-to-one functions from ${\cal S}\left$ into seq, where seq denotes the set of all finite sequences of elements of x. For all infinite sets x such that there exists a permutation of x without fixed points, there are no finite-to-one functions from ${\cal S}\left$ into x. For all sets x, $|{[x]^2}| < \left| {{\cal S}\left} \right|$. (shrink)

It is proved in (without the axiom of choice) that for all infinite cardinals and all natural numbers, where is the cardinality of the set of permutations with exactly non‐fixed points of a set which is of cardinality.

A partition is finitary if all its members are finite. For a set A, $\mathscr {B}(A)$ denotes the set of all finitary partitions of A. It is shown consistent with $\mathsf {ZF}$ (without the axiom of choice) that there exist an infinite set A and a surjection from A onto $\mathscr {B}(A)$. On the other hand, we prove in $\mathsf {ZF}$ some theorems concerning $\mathscr {B}(A)$ for infinite sets A, among which are the following: (1) If there is a finitary (...) partition of A without singleton blocks, then there are no surjections from A onto $\mathscr {B}(A)$ and no finite-to-one functions from $\mathscr {B}(A)$ to A. (2) For all $n\in \omega $, $|A^n|<|\mathscr {B}(A)|$. (3) $|\mathscr {B}(A)|\neq |\mathrm {seq}(A)|$, where $\mathrm {seq}(A)$ is the set of all finite sequences of elements of A. (shrink)

For a cardinal, we write for the cardinality of the set of permutations with finitely many non‐fixed points of a set which is of cardinality. We investigate the relationships between and for an arbitrary infinite cardinal in (without the axiom of choice). It is proved in that for all infinite cardinals, and we show that this is the best possible result.

A self-designed questionnaire was given to 634 health professionals in a large teaching hospital in Hubei Province in mainland China, to clarify the participants’ attitude towards information disclosure to cancer patients. Statistic description was used to analyze the data. The item ‘inappropriate information about cancer easily leads to medical disputes’ scored highest at 3.86, while the scores of such items as ‘advantages of fully informing patients outweigh disadvantages’, ‘if their family members demand nondisclosure, you will find it difficult to cooperate (...) in good faith with patients’, and ‘telling white lies to patients disturbs you a lot’ were less than 3. The health care staff placed a high value on both the desire and priority of patients to know the truth, though most of them did not think that patients had received enough information about their disease. In order to improve cancer patients’ current state of knowledge, health professionals should learn more about informed consent, and special methods and guidelines compatible with Chinese culture are urgently required in China. (shrink)

The impetus of this study is to gauge the nexus between economic policy uncertainty and financial innovation in Brazil, Russia, India, China, and South Africa nations for the period from 2004M1 to 2018M12. This study utilizes both the linear and non-linear autoregressive distributed lag models to evaluate the long-run and the short-run association between EPU and financial innovation; furthermore, the causal effects are investigated by following the non-Granger casualty framework. The results of long-run cointegration, i.e., the test statistics of modified (...) F-test, standard Wald test, and tBDM, reject the null hypothesis and establish the presence of the long-run association between EPU and financial innovation. Conversely, long-run asymmetry cointegration revealed the test statistics of FPSS, WPSS, and tBDM in non-linear estimation. Furthermore, both in the long run and short run, the Wald test results disclose asymmetric effects running from EPU to financial innovation. In regards to the asymmetric impact of EPU on financial innovation, this study documents that the positive and negative shocks in EPU are negatively linked with financial innovation in the long run but are insignificant for short-run effects. Besides, financial innovation measured by R&D investment exhibits a positive linkage with shocks in EPU, implying that uncertainty induces innovation in the economy. Referring to causality effects, this study divulges the feedback hypothesis, i.e., bidirectional causality prevails between EPU and financial innovation in all sample countries. (shrink)

For a set M, let |M| denote the cardinality of M. A family F is called strongly almost disjoint if there is an n∈ω such that |A∩B|<n for any two distinct elements A, B of F. It is shown in ZF (without the axiom of choice) that, for all infinite sets M and all strongly almost disjoint families F⊆P(M), |F|<|P(M)| and there are no finite-to-one functions from P(M) into F, where P(M) denotes the power set of M.

The factorial of a cardinal, denoted by, is the cardinality of the set of all permutations of a set which is of cardinality. We give a condition that makes the cardinal equality provable without the axiom of choice. In fact, we prove in that, for all cardinals, if and there is a permutation without fixed points on a set which is of cardinality, then.

Wang Xuanlan criticized the view of time defined by Xin (心) through the way of Chongxuan xue (Twofold Mystery) in Xuanzhulu, and advocated a view of time from the perspective of Dao (道). The core proposition of the time of Xin is expressed as “in the pure Xin, all of the past and the present are included”. The whole content of the time of Xin is the “three periods” constituted by the past, present and future. Wang's criticism of the time (...) of Xin is consistent with that of worldly law such as Xin, words and knowledge. However, the criticism cannot be completed in one step. The result of criticism is not clinging to no-Xin, no-words and non-knowledge, but completely denying all worldly law. In this way, the Dao in the basic position could manifest itself. The view of the time of Dao is expressed as ”the Dao has no birth and death, and the time in it is infinite“. (shrink)

本套文集是作者一生学术成果的总结,共14卷500余万字,收录了他的15部重要美学著作.

It is proved in $\mathsf {ZF}$ (without the axiom of choice) that, for all infinite sets M, there are no surjections from $\omega \times M$ onto $\operatorname {\mathrm {\mathscr {P}}}(M)$.

秉春秋之筆 明善惡之辨 ——西漢．董仲舒 本書之成書為研究董仲舒哲學思想之論文集，其研究所據之資料為史漢之〈董仲舒傳〉，董氏之《春秋繁露》。其內容涵蓋董仲舒天人合一之思想、知識論、董氏春秋倫理判斷，以及道德論等。作者在研究中盡力指出董氏所以錯 謬之邏輯推論，以「證偽」，亦襯托其古「董」之精美之處。在中國古代聖賢中所倡言的天人相合的理論裡，不乏有精闢之論，然而其中有其系統而最為專精者，在古代哲人中，則莫過於董仲舒之「天人合一」之論，是以作者對 是事關心而研究焉。.

Using a sample of Chinese listed firms in polluting industries for the period of 2008–2010, we empirically investigate whether and how Buddhism, China’s most influential religion, affects corporate environmental responsibility (CER). In this study, we measure Buddhist variables as the number of Buddhist monasteries within a certain radius around Chinese listed firms’ registered addresses. In addition, we hand-collect corporate environmental disclosure scores based on the Global Reporting Initiative (GRI) sustainability reporting guidelines. Using hand-collected Buddhism data and corporate environmental disclosure scores, (...) we provide strong and robust evidence that Buddhism is significantly positively associated with CER. This finding is consistent with the following view: Buddhism can serve as social norms to evoke the consciousness of social responsibility, and thereof strengthen CER. Our findings also reveal that the positive association between Buddhism and CER is attenuated for firms with higher law enforcement index. The results are robust to various measures of Buddhism and a variety of sensitivity tests. (shrink)

ABSTRACTFilm clips are widely used in emotion research due to their relatively high ecological validity. Although researchers have established various film clip sets for different cultures, the few that exist related to Chinese culture do not adequately address positive emotions. The main purposes of the present study were to establish a standardised database of Chinese emotional film clips that could elicit more categories of reported positive emotions compared to the existing databases and to expand the available film clips that can (...) be used as neutral materials. Two experiments were conducted to construct the database. In experiment 1, 111 film clips were selected from more than one thousand Chinese movies for preliminary screening. After 315 participants viewed and evaluated these film clips, 39 excerpts were selected for further validation. In experiment 2, 147 participants watched and rated these 39 film clips, as well as another 8 excerpts chosen from the existing databases, to compare their validit... (shrink)

The formation mechanism of innovation networks is one of the core issues in the current research of innovation networks, and proximity plays an important role in the formation and development of innovation networks; however, which proximity is more important and how different proximities interact remain to be further researched. This study conducts a social network analysis and adopts a spatial interaction model to examine innovation networks among 290 Chinese cities. The results reveal that, first, the hierarchical characteristics of Chinese cities’ (...) innovation networks reflect a core periphery structure and the spatial patterns of large dispersion and small agglomeration. Further, bound by the Hu line, the hierarchy is high in the east and low in the west. Second, geographical, institutional, and cognitive proximities positively affect Chinese cities’ innovation networking. Cognitive proximity, particularly, has the highest impact. Geographical proximity reinforces the effect of institutional proximity, and thus, their interactions are complementary. (shrink)

This study extends previous literature on the association between corporate social responsibility and corporate financial behavior by investigating the influence of corporate environmental performance on the cost of debt. Using a sample of Chinese private-owned firms, we document strong and consistent evidence to show that corporate environmental performance is significantly negatively associated with the interest rate on debt—the proxy for the cost of debt. The findings suggest that lenders applaud better environmental performance. Moreover, internal control attenuates the negative association between (...) corporate environmental performance and the interest rate on debt, implying substitutive effects between corporate environmental performance and internal control on the reduction of interest rates on debt. The results are robust to various sensitivity tests and are still valid after controlling for the potential endogeneity between corporate environmental performance and the interest rate on debt. (shrink)

Based on the institutional theory, this article attempts to examine two consecutive questions regarding the impact of various factors on corporate decision in environmental information disclosure (EID): (1) whether or not to disclose; and (2) the level of disclosure. The relevance of these factors is empirically tested using data collected from publicly listed manufacturing companies from 2006 to 2008 in China. Some interesting findings appear. We find that firms that are state-owned, those that operate in environmentally sensitive industries, those having (...) more industrial peers engaged in EID, and those with better reputation are more likely to disclose environmental information. When it comes to the content of EID, variables that attempt to capture external institutional pressures exhibit either no or weak explanatory power. Only the variable of organizational image and reputation is demonstrated to have a significant impact on both the act and the content of EID. This study provides a snapshot of the dialogues between constituencies in the organizational field and EID development. (shrink)

Objective: Based on the theory of perceived organizational support (POS), conservation of resource (COR) and job demands-resources (JD-R) model, this study establishes a moderated mediation model to test the role of job satisfaction in mediating the relationship between perceived organizational support and job burnout, as well as the role of regulatory emotional self-efficacy in moderating the above mediating process. Method: A total of 784 police officers were surveyed with the Perceived Organizational Support Scale, the Job Burnout Questionnaire, the Regulatory Emotional (...) Self-Efficacy Scale, and the Minnesota Job Satisfaction Questionnaire. Results: (1) After controlling for gender, seniority, age, police classification, education, and marital status, regression analysis showed a significant negative correlation between perceived organizational support and burnout (r = -0.42, p < 0.01), and the former had a significant negative predictive effect on job burnout (β = -0.42, p < 0.001). (2) The mediating effect test shows that job satisfaction plays a partial role in mediating the relationship between perceived organizational support and job burnout. (3) Through the analysis of the moderated mediation model test, regulatory emotional self-efficacy moderates the first half of the path of “perceived organizational support → job satisfaction → job burnout". Conclusion: Perceived organizational support not only directly affects police job burnout but also indirectly affects police job burnout through job satisfaction. Regulatory emotional self-efficacy enhances the influence of organizational support on job satisfaction. This study indicates the combined effect of perceived organizational support, job satisfaction and regulatory emotional self-efficacy on job burnout and has certain guiding significance for alleviating police job burnout. Keywords: Perceived organizational support, Job burnout, Job satisfaction, Regulatory emotional self-efficacy, Moderated mediation. (shrink)

With the spread of the COVID-19 pandemic worldwide, university teachers are coping with and adjusting to online teaching platforms. In this concurrent mixed-methods study, 10 science and technology universities as the research sites were first chosen, and educational planning in these sites during the pandemic was examined; then, eight selected teacher participants in these sites were interviewed to report how their beliefs and practices changed during the pandemic echoing the examined educational planning. The results show that educational planning and policies (...) assisted teachers in accommodating the new demands and changes during the pandemic; teachers' beliefs and practices generally echoed the educational planning and policies, with certain tensions still existing. The discussion part of the study is centered around emergency remote teaching and planning, tensions between teacher beliefs and practices, and the shift from emergency remote teaching to regular, sustainable online schooling. The study provides administrators and teacher educators with insights on how emergency remote teaching can be planned and implemented during an unprecedented time. (shrink)

本书论述了文艺美学——由本质论到经验论、审美教育——由思辨美学到人生美学、生态美学论——由人类中心到生态整体三编内容。.

ABSTRACT By integrating theories of social learning and moral judgment, we developed a theoretical model on whether and when peers imitate employees’ unethical pro-organizational behavior in the workplace. The study, which involved 256 employees in a large manufacturing company in China, revealed that employees’ UPB positively predicted peers’ vicarious learning of UPB, with the effect strengthened by employees’ organizational tenure but weakened by peers’ deontic injustice. Moreover, the positive effect of employees’ UPB on their peers’ vicarious learning was mitigated, and (...) even turned negative when employees’ organizational tenure was low, but peers’ deontic injustice was high. (shrink)

A function is boundedly finite-to-one if there is a natural number $k$ such that each point has at most $k$ inverse images. In this paper, we prove in $\textsf{ZF}$ (i.e. the Zermelo–Fraenkel set theory without the axiom of choice) several results concerning this notion, among which are the following: (1)For each infinite set $A$ and natural number $n$, there is no boundedly finite-to-one function from $\mathcal{S}(A)$ to $\mathcal{S}_{\leq n}(A)$, where $\mathcal{S}(A)$ is the set of all permutations of $A$ and $\mathcal{S}_{\leq (...) n}(A)$ is the set of all permutations of $A$ moving at most $n$ points. (2) For each infinite set $A$, there is no boundedly finite-to-one function from $\mathcal{B}(A)$ to $\textrm{fin}(A)$, where $\mathcal{B}(A)$ is the set of all partitions of $A$ such that every block is finite and $\textrm{fin}(A)$ is the set of all finite subsets of $A$. (shrink)

This study examined the factors driving the public value of e-government from the viewpoint of the Chinese people. The usage of ICT through e-government systems must generate the adequate corresponding public value that can motivate the acceptance of e-government services. The sample 517 data generated from Chinese citizens were analyzed using AMOS 23 software by undertaking the structural equation model system of analysis. The results show that constructs such as information quality, service parameters, user orientation, efficiency, openness, and responsiveness were (...) significantly related to the public value of e-government. Additionally, the research validated that the public value of e-government has a direct influence on the behavioral intention to adopt e-government services. The managerial and practical implications of these research findings on the public value of e-government and the acceptance of e-government services are dissected meticulously. (shrink)

We develop a theory of necessity operators within a version of higher-order logic that is neutral about how fine-grained reality is. The theory is axiomatized in terms of the primitive of *being a necessity*, and we show how the central notions in the philosophy of modality can be recovered from it. Various questions are formulated and settled within the framework, including questions about the ordering of necessities under strength, the existence of broadest necessities satisfying various logical conditions, and questions about (...) their logical behaviour. We also wield the framework to probe the conditions under which a logicist account of necessities is possible, in which the theory is completely reducible to logic. (shrink)