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 These previously unpublished intimate and informal conversations, however, bring to light and amplify Gödel's other major contributions to logic and philosophy.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)

In the present research, based on the game research paradigm, the research tools are the dictator game and the trust game, and the research objects are Chinese university students. We adopt 2 × 2 between-subjects design experiment to investigate the influence of social class on university students’ prosocial behavior. Across the experimental study, we find that in the two situations of dictator game and trust game, self-social class has no significant influence on university students’ prosocial behavior; in the situation of (...) dictator game, target social class has a significant influence on university students’ prosocial behavior, and it is regulated by self-social class. Under the condition of low self-social class, the higher the target social class, the more prosocial behavior of university students, which confirms the perspective of status and negates “if you are poor, you will be good for yourself.” Under the condition of high self-social class, the lower the target social class, the more prosocial the behavior of university students, which confirms the perspective of fairness and echoes “if you are good, you will be good at the world”; in the context of the trust game, target social class has a significant influence on university students’ prosocial behavior, and there is no interaction effect with self-social class. (shrink)

Autism spectrum disorder is a group of complex neurodevelopment disorders characterized by altered brain connectivity. However, the majority of neuroimaging studies for ASD focus on the static pattern of brain function and largely neglect brain activity dynamics, which might provide deeper insight into the underlying mechanism of brain functions for ASD. Therefore, we proposed a framework with Hidden Markov Model analysis for resting-state functional MRI from a large multicenter dataset of 507 male subjects. Specifically, the 507 subjects included 209 subjects (...) with ASD and 298 well-matched health controls across 14 sites from the Autism Brain Imaging Data Exchange. Based on the HMM, we can identify the recurring brain function networks over time across ASD and healthy controls. Then we assessed the dynamical configuration of the whole-brain networks and further analyzed the community structure of transitions across the brain states. Based on the 19 HMM states, we found that the global temporal statistics of the specific HMM states were significantly altered in ASD compared to HCs. These specific HMM states were characterized by the activation pattern of default mode network, sensory processing networks [including visual network, auditory network, and sensory and motor network ]. Meanwhile, we also find that the specific modules of transitions between states were closely related to ASD. Our findings indicate the temporal reconfiguration of the brain network in ASD and provide novel insights into the dynamics of the whole-brain networks for ASD. (shrink)

I propose to sketch my views on several aspects of the philosophy of mathematics that I take to be especially relevant to philosophy as a whole. The relevance of my discussion would, I think, become more evident, if the reader keeps in mind the function of (the philosophy of) mathematics in philosophy in providing us with more transparent aspects of general issues. I shall consider: (1) three familiar examples; (2) logic and our conceptual frame; (3) communal agreement and objective certainty; (...) (4) the transcommunal universality of mathematics; (5) the big jump to the potential infinite; (6) the reconciliation of local creation with the hypothesis of discovery; (7) Platonism as realism plus conceptualism; (8) foundational studies and mathematical practice; and (9) the decomposition of philosophical disagreements. The views of Gödel and Wittgenstein are emphasized in order to add specificity to the discussions. (shrink)

This paper investigates whether the impact of PCAOB Rule 3211 on the quality and cost of audit services differs between female and male audit partners. We find that the improvement of audit quality is more pronounced for female audit partners than male partners after Rule 3211 adoption. Female audit partners are also associated with higher increases in fees and report lags than male counterparts after the adoption of Rule 3211. Further, we find that the presence of female CFOs attenuate the (...) audit fees and report lag increases in the post-adoption periods. Overall, our findings confirm the importance of the gender effect on audit outcomes, which needs further consideration by standard setters. Our study also provides empirical evidence of the benefits of gender equality in the workplace. (shrink)

本書分為思維與語言關係研究、認識與真理關係探析、學術研究與學術創新三大專題，書中從發生學的視角提出了人類思維的發生先於語言的獨到見解，進而闡明了語言對人類思維發展的促進作用；探討了真理與認識的關係和真 理有無階級性問題。闡明了真理，包括相對真理均不包含錯誤。用真理的科學性論證了任何真理，包括社會科學的真理都沒有階級性；從哲學的角度論述了獨立思考之于學術創新的重大意義。.

This paper investigates a first-order extension of GL called \. We outline briefly the history that led to \, its key properties and some of its toolbox: the \emph{conservation theorem}, its cut-free Gentzenisation, the ``formulators'' tool. Its semantic completeness is fully stated in the current paper and the proof is retold here. Applying the Solovay technique to those models the present paper establishes its main result, namely, that \ is arithmetically complete. As expanded below, \ is a first-order modal logic (...) that along with its built-in ability to simulate general classical first-order provability―"\" simulating the the informal classical "\"―is also arithmetically complete in the Solovay sense. (shrink)

This cogent and knowledgeable critique of the tradition of modern analytic philosophy focuses on the work of its central figures -- Russell, Carnap, and Quine -- and finds it wanting. In its place, Hao Wang unfolds his own original view of what philosophy could and should be. The base of any serious philosophy, he contends, should take as its point of departure the actual state of human knowledge. He explains the relation of this new tradition to mathematical logic and reveals (...) the crucial transitions and mistakes in mainstream Anglo-American philosophy that make a new approach so compelling.Equally at home in philosophy and mathematics, Wang is uniquely qualified to take on the task of critically examining modern philosophy. He carefully traces the path of ideas from Russell and Wittgenstein through the Vienna Circle to modern British and American philosophy, and makes use of his familiarity with the profound thought of Kurt Gödel with whom he has had numerous discussions. He also presents the broader significance of Russell's philosophy, provides a comprehensive and unified treatment of Quine's work in logic and in philosophy, and delineates what is common between Carnap and Quine. (shrink)

Detailed summary in vernacular field only.

Still life as an independent painting genre in Chinese fine art was formed in the second half of the XX century under the strong influence, first of all, of Western European and Russian, and then American art. This relatively short period of time includes several periods at once, in which one or another influence dominated. However, it was the integration of the ideas and principles of foreign art schools that allowed Chinese masters to develop those features of the artistic and (...) figurative language that determined the features of the genre of still life in the space of modern art. The object of the article is the process of development of Chinese still life in the second half of the twentieth century, the subject is a set of expressive and artistic means used by Chinese artists to create a still life under the influence of foreign artistic trends. This article aims to determine the place and features of the genre of still life in the works of Chinese painters of the second half of the XX century, as well as to characterize the conformity of this genre to the trends of Russian and Soviet, as well as European art. The study concluded that this genre received rapid development in the second half of the XX century, which occurred under continuous foreign artistic influence. The occupation of a strong position in the space of Chinese art by still life and the formation of its original character with national specifics occurred at the end of the twentieth century. (shrink)

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)

The main purpose of this paper is to present a formal systemPin which we enjoy a smooth-running technique and which countenances a universe of classes which is symmetrical as between large and small. More exactly,Pis a system which differs from the inconsistent system of [1] only in the introduction of a rather natural new restrictive condition on the defining formulas of the elements. It will be proved that if the weaker system of [2] is consistent, thenPis also consistent.After the discovery (...) of paradoxes, it may be recalled, Russell and Zermelo in the same year proposed two different ways of safeguarding logic against contradictions. Since then various simplifications and refinements of these systems have been made. However, in the resulting systems of Zermelo set theory, generation of classes still tends to be laborious and uncertain; and in the systems of Russell's theory of types, complications in the matter of reduplication of classes and meaningfulness of formulas remain. In [2], Quine introduced a system which seems to be free from all these complications. But later it was found out that in it there appears to be an unavoidable difficulty connected with mathematical induction. Indeed, we encounter the curious situation that although we can prove in it the existence of a class V of all classes, and we can also prove particular existence theorems for each of infinitely many classes, nobody has so far contrived to prove in it that V is an infinite class or that there exists an infinite class at all. (shrink)

This essay attempts to provide an alternative approach to the philosophy of religion through a new interpretation of Daoist philosophy in light of Husserl’s phenomenology. I argue that Lao-Zhuang’s wu-wei should be understood as a reduction of our existential and conceptual beliefs about the reality of this world. In Lao-Zhuang, wu-wei is related to the theme of decentering of the subject. In order to be a true self, we have to make space at the core of our being for Dao (...) to appear. The authentic selfhood is constituted in its correctrelation to Dao. In Daoist philosophy of religion, the center of gravity in the relation between Dao and the world (or worlds) is shifted from this world to Dao, and the problematic in the philosophy of religion is displaced from a truth-oriented issue to a receptivity issue. (shrink)

The debate between Zhuangzi and Huizi has profound epistemological significance, however, the main body of their debate comprises logical inferences and refutations. Therefore, this paper mainly focuses on the logical aspects of the debate. Some scholars have suggested that Huizi’s argument is self-contradictory; however, in fact, based on such evaluations of Huizi’s argument, we can conclude that Zhuangzi’s logic is also self-contradictory. By utilizing modern logical analysis tools, this study reveals what and how the propositions and inferences contained in the (...) language of the debate are articulated accurately and strictly. Moreover, by elaborating on the implicit premises omitted by Zhuangzi and Huizi, the actual logical process of the debate can be restored, and the logical fallacy of clandestine change of argumentative issue are revealed. This study presents clear modern logic analysis of the debate; it can also provide a more reliable logical basis for the discussions of Zhuangzi and Huizi’s related philosophical thoughts. (shrink)

As a result of the time‐ and context‐dependency of gene expression, gene regulatory and signaling pathways undergo dynamic changes during development. Creating a model of the dynamics of molecular interaction networks offers enormous potential for understanding how a genome orchestrates the developmental processes of an organism. The dynamic nature of pathway topology calls for new modeling strategies that can capture transient molecular links at the runtime. The aim of this paper is to present a brief and informative, but not all‐inclusive, (...) viewpoint on the computational aspects of modeling and simulation of a non‐static molecular network. BioEssays 26:68–72, 2004. © 2003 Wiley Periodicals, Inc. (shrink)

Noted logician and philosopher addresses various forms of mathematical logic, discussing both theoretical underpinnings and practical applications. After historical survey, lucid treatment of set theory, model theory, recursion theory and constructivism and proof theory. Place of problems in development of theories of logic, logic’s relationship to computer science, more. Suitable for readers at many levels of mathematical sophistication. 3 appendixes. Bibliography. 1981 edition.

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 ...

A survey is made of work since 1879 on foundational problems viewed as an analysis, by reduction and formalization, of the concepts proof, feasible, number, set, and constructivity. It is suggested that there are five domains of concepts and methods, viz., anthropologism, finitism, intuitionism, predicativism, and platonism. It is also suggested that the central problem is to characterize these domains by formalization and to determine their interrelations by different forms of reduction. Finally, the range of logic in the narrower sense (...) is discussed, and applications of mathematical logic are briefly outlined.ZusammenfassungDie Entwicklung der Grundlagenforschung seit dem Jahre 1879 wird hier im Überblick dargestellt und zwar vom Standpunkt einer Analyse durch Reduktion and Formalisierung der Begriffe Beweis, Zahl, Menge und Konstruktivität aus gesehen. Fünf Bereiche von Begriffsbildungen und Methoden werden zu Grunde gelegt, nämlich: Anthropologismus, Finitismus, Intuitionismus, Prädikativismus und Platonismus. Als zentrale Aufgabenstellung wird hier die Charakterisierung dieser Bereiche durch Formalisierung betrachtet und weiterhin die Bestimmung ihrer gegenseitigen Zusammenhänge durch verschiedene Arten von Reduktionen. Schliesslich wird das Gebiet der Logik im engeren Sinne diskutiert und Anwendungen der mathematischen Logik skizziert.RésuméL'article réexamine les travaux faits depuis 1879 sur les problèmes du fondement des mathématiques, que P'on considère comme des analyses par réduction et formalisation des concepts de démonstration, de nombre, d'ensemble, et de constructivité. On suggère qu'il existe cinq domaines de concepts et de méthodes, à savoir: anthropologisme, finitisme, intuitionisme, « predicativism » et platonisme. On suggère aussi que le problème essentiel consiste à caractériser ces domaines par formalisation et à déterminer leurs relations réciproques par différentes formes de réduction. Finalement, on étudie la portée de la logique prise dans son sens le plus étroit et on esquisse rapidement les applications de la logique mathématique. (shrink)

The introduction of digital technologies in collective actions seems to have transformed the dynamics of movement organizing and enabled divergent forms of protest organizing. While some studies emphasize “organizationless” organizing in which traditional organizational forms—social movements organizations and formal-bureaucratic structures—have been pushed into the margins, other studies showcase how traditional forms have assumed alternative features, for example, connective leadership and organizations with fluid boundaries. While existing research correctly points out the evolving organizing dynamics and forms in digital activism, few studies (...) have accounted for why digitally enabled protests take certain organizing forms over others among multiple modes of interaction between protesters and digital technologies. Using a case study of a protest campaign organized by Chinese American immigrants, this study illustrates why immigrant activists struggled to keep the campaign “organizationless” on WeChat, a China-based digital platform that afforded other forms of organizing over such an organizing mode. Building on the mechanism-based approach in social movement studies, the findings show that immigrant activists’ emotional–cognitive responses to the changing digital environments became the driving force behind the relational choices to maintain the protest “organizationless.” The study, therefore, may not only inform future studies to explore why certain structures of protest networks emerge and develop but also contribute to the mechanism-based approach by foregrounding emotional–cognitive mechanisms, which mediate environmental and relational mechanisms. (shrink)

Wittgenstein's Tractatus contains an insubstantial form of transcendental idealism. It is insubstantial because it rejects the substantial a priori. Yet despite this, the Tractatus still contains two fundamental transcendental idealist insights, (a) the identity of form between thought and reality, and (b) the transcendental unity of apperception. I argue for (a) by connecting general themes in the Tractatus and in Kant, and for (b) by giving a detailed interpretation of Tractatus 5.6ff., where Wittgenstein talks about solipsism and the metaphysical subject. (...) Tractarian solipsism, on this interpretation, is a special, insubstantial form of transcendental idealism. (shrink)

A dualism characteristic of modern philosophy is the conception of the inner and the outer as two independently intelligible domains. Wittgenstein’s attack on this dualism contains deep insights. The main insight (excavated from §304 and §293 of the Philosophical Investigations) is this: our sensory consciousness is deeply shaped by language and this shaping plays a fundamental role in the etiology of the dualism. I locate this role in the learning of a sensation-language (as described in §244), by showing that this (...) learning is, under another aspect, the incision of language, namely the infliction of cuts upon certain natural-primitive unities between the inner and the outer. These cuts, driven by powerful forces, eventually harden into an entrenched division between the inner and the outer, thereby providing a constant soil for the dualism. That this dualism is rooted in the very learning of a language is cause for ambivalence about language. (shrink)

This paper corrects a mistake in John McDowell’s influential reading of Wittgenstein’s attack on the idea of private sensations. McDowell rightly identifies a primary target of Wittgenstein’s attack to be the Myth of the Given. But he also suggests that Wittgenstein, in the ferocity of his battles with this myth, sometimes goes into overkill, which manifests itself in seemingly behavioristic denials about sensations. But this criticism of Wittgenstein is a mistake. The mistake is made over two important but notoriously difficult (...) sections in the so-called Private Language Argument, namely §304 and §293 of the Philosophical Investigations. Wittgenstein, maximally charitably read, commits no overkill in these two sections. This correction strengthens McDowell’s overall reading, but it is only a first step toward fully bringing out the deep but obscurely expressed insights in §304 and §293, the full treatment of which must await another occasion. (shrink)