To apply reinforcement learning to difficult classes such as real-environment learning, we need to use a method robust to perceptual aliasing problem. The exploitation-oriented methods such as Profit Sharing can deal with the perceptual aliasing problem to a certain extent. However, when the agent needs to select different actions at the same sensory input, the learning efficiency worsens. To overcome the problem, several state partition methods using history information of state-action pairs are proposed. These methods try to convert a POMDP (...) environment into an MDP environment, and thus they are sometimes very useful. However, their computation cost is very high especially in large state spaces. In contrast, memory-less approaches try to escape from the aliased states by outputting actions stochastically. However, these methods output actions stochastically even in unaliased states, and thus the learning efficiency is bad. If we desire to guarantee the rationality in POMDPs, it is efficient to output actions stochastically only in the aliased states and to output one action deterministically in the other unaliased states. Hence, to discriminate between aliased states and unaliased states, the utilization of χ² -goodness-of-fit test is proposed by Miyazaki et al. They point out that, in aliased states, the distributions of the state transitions by random search and a particular policy are different. This difference doesn't occur owing to non-deterministic actions. Hence, if the agent can collect enough samples to implement the test, the agent can distinguish between aliased states and unaliased states well. However, such a test needs a large amount of data, and it's a problem how the agent collects samples without worsening learning efficiency. If the agent uses random search in the course of learning, the learning efficiency worsens especially in unaliased states. Therefore, in this research, we propose a new method called Extended On-line Profit Sharing with Judgement (EOPSwJ) to detect important incomplete perception, which doesn't need large computation cost and numerous samples. We use two criterions for detecting important incomplete perceptions to attain a task. One is the rate of transitions to each state, and the other is the deterministic rate of actions. We confirm the availability of EOPSwJ using two simulations. (shrink)

This paper is a contribution to our understanding of the constructive nature of Greek geometry. By studying the role of constructive processes in Theodoius’s Spherics, we uncover a difference in the function of constructions and problems in the deductive framework of Greek mathematics. In particular, we show that geometric problems originated in the practical issues involved in actually making diagrams, whereas constructions are abstractions of these processes that are used to introduce objects not given at the outset, so that their (...) properties can be used in the argument. We conclude by discussing, more generally, ancient Greek interests in the practical methods of producing diagrams. (shrink)

After explaining general characteristics such as overspecification, found in the diagrams of Greek manuscripts of Euclid’s Elements, diagrams in some propositions of Book III are examined in detail. Codex P (Vat. gr. 190) and b (Bologna) are common in avoiding overspecification in a couple of propositions. However, further examination of diagrams of Book III in other manuscripts including those in the Arabic tradition, and collation of the text suggest that the common feature in the diagrams of codex P and b (...) is rather due either to independent efforts to avoid overspecification or to contamination of traditions. It is codex F (Florence, Laurenziana 28.3) that most often coincides with codex P in Book III. (shrink)

In this article, we assess the heuristic power of Greek geometrical analysis by trying to reconstruct some analyses of extant propositions of which only the demonstration is found in the text. We have reconstructed the analysis of the trisection of an angle, the property of the tangent to the parabola, to the hyperbola/ellipse, and to the spiral line. In all of these cases, the results and the demonstrations can be found by the analysis alone, without arguments by analogy with other (...) figures or kinematic considerations. We have thus concluded that analysis is a much more powerful tool than is usually assumed to be. We have also examined a part of Apollonius’ Cutting off of a ratio and confirmed that the number of possible cases to be distinguished in analysis tended to increase because the geometric objects and the magnitudes related to them were always considered in the geometric arrangement in which they appear. We suggest that the absence of an algebraic approach that would have detached the magnitudes from their geometrical context may have been one of the major obstacles to further development of Greek geometry. (shrink)

This book treats so‐called Greek mathematics, developed in the Greek‐speaking world between about 600 b.c. and 600 a.d. It consists of four parts: early Greek mathematics, Hellenistic mathematics, Graeco‐Roman mathematics, and late ancient mathematics. Each part is divided into two chapters, “The Evidence” and “The Questions.”This separation of evidence and questions is significant. Serafina Cuomo has refused to follow the familiar method of weaving an apparently seamless history of Greek mathematics out of fragmentary and heterogeneous documents and conjectures about them. (...) The chapters of questions, where she points to issues that remain open, are very suggestive. For example, most important documents about the early development of Greek mathematics derive from a single lost work, the History of Geometry by Eudemus. Cuomo dares to cast doubt on its authenticity. Though her reservations seem extreme, we should remember that no document is neutral: Eudemus's history is a compilation, which involved choices, and the fragments we have now are the result of selection, partly intentional, partly by chance.Another merit of this book is that it considers a wide range of activity as mathematics. Practical mathematics—such as land surveying and accounting, with their sociopolitical importance—is emphasized.Cuomo's chief claim is that the standard historiography that associates the development of Greek mathematics with Plato's philosophy is only the version promulgated by Proclus; other descriptions are also possible. In fact, Pappus, Iamblichus, and others had their own versions. This claim is reasonable and contributes to a better understanding of Greek mathematics and the authors of late antiquity.In her citations, the author tries to let the text speak for itself, allowing as much as a full page to a passage or a proposition, and she refrains from using modern symbolism to explain mathematical content. Though this attitude is admirable, its cost is not negligible. Readers expecting to acquire a basic knowledge of Greek mathematics may find themselves at a loss when faced with highly technical propositions presented without elucidation.What this compact book does not include should also be mentioned. In contrast to her enthusiasm for the social and political dimensions of ancient mathematics, the author seems somewhat indifferent to its technical and theoretical aspects. Archimedes and Apollonius command only 16 pages—less than 7 percent of the text—whereas T. L. Heath dedicated 150 pages of his 1,000‐page history to them . Though documents showing the importance of land surveying are frequently quoted, little is said about the practice and the technical development of this art. The technical details of Ptolemy's works are practically dismissed—but should he not have an especially important role in alternative versions of the history of ancient mathematics because of his ingenious reconciliation of rigorous theory and the limitations imposed by reality in fields like astronomy and geography?The scantiness of the technical ingredients makes Ancient Mathematics more a history of discourses about mathematics than a history of mathematics—though this is to some extent inevitable given the character of late ancient mathematics, as Cuomo correctly emphasizes. The plan of the series to which this book belongs may be too modest to accommodate the author's ambition. Another problem attributable to the publisher is that the notes appear at the end of each chapter, so checking the references is annoying. Short references could be put in parentheses, and footnotes would be more convenient for longer notes. (shrink)

Everyday aesthetic experiences and concerns occupy a large part of our aesthetic life. However, because of their prevalence and mundane nature, we tend not to pay much attention to them, let alone examine their significance. Western aesthetic theories of the past few centuries also neglect everyday aesthetics because of their almost exclusive emphasis on art. In a ground-breaking new study, Yuriko Saito provides a detailed investigation into our everyday aesthetic experiences, and reveals how our everyday aesthetic tastes and judgments (...) can exert a powerful influence on the state of the world and our quality of life. By analysing a wide range of examples from our aesthetic interactions with nature, the environment, everyday objects, and Japanese culture, Saito illustrates the complex nature of seemingly simple and innocuous aesthetic responses. She discusses the inadequacy of art-centered aesthetics, the aesthetic appreciation of the distinctive characters of objects or phenomena, responses to various manifestations of transience, and the aesthetic expression of moral values; and she examines the moral, political, existential, and environmental implications of these and other issues. (shrink)

v. 1. The spectrum of consciousness ; No boundary ; Selected essays -- v. 2. The Atman Project ; Up from Eden -- v. 3. A sociable god ; Eye to eye -- v. 4. Integral psychology ; Transformations of consciousness ; Selected essays -- v. 5. Grace and grit : spirituality and healing in the life and death of Treya Killam Wilber. 2nd ed. -- v. 6. Sex, ecology, spirituality : the spirit of evolution. 2nd, rev. ed. -- v. (...) 7. A brief history of everything ; The eye of spirit -- v. 8. The marriage of sense and soul ; One taste. (shrink)

In this book Wilber presents a model of consciousness that encompasses empirical, psychological, and spiritual modes of understanding. Wilber examines three realms of knowledge: the empirical realm of the senses, the rational realm of the mind, and the contemplative realm of the spirit. Eye to Eye points the way to a broader, more inclusive understanding of ourselves and the universe.

Context: A growing number of Japanese people have completed advance directives, especially living wills, even though there is no legislation recognising such documents and little empirical research on their impact on clinical care at the end of life in Japan.Objectives: To investigate physicians’ attitudes about living wills and their experiences with patients who had completed a living will and later died.Design: Self administered survey and qualitative study using open question and content analysis.Setting: Japan.Participants: Physicians known to have cared for a (...) patient who had presented a living will prior to death.Measurements: The physician’s response to receiving a living will, communication about the living will, the impact of the living will on clinical care, demographics, and their opinion on advance directives, especially living wills.Main results: Fifty five per cent of respondents approved of advance directives in general, and 34% had more opportunities to communicate with a patient and his/her family after receiving the living will. Sixty nine per cent of the physicians who received a living will did not, however, change their course of therapy as a consequence of receiving the living wills. Based on the analysis, we identified three areas of concern in the comments on living wills: concerns relative to patients, physicians, and families; social context, and clinical and administrative concerns. The physicians raised various topics for discussion; they tended to describe the issues from a clinical perspective.Conclusions: Our identified areas of concern should prove helpful in better understanding the clinical and ethical implications of living wills in Japan. (shrink)

A new, easy-to-grasp map of human consciousness against which the various therapies from both Western and Eastern sources are introduced. Designed to help individuals understand the practice of each therapy.

I propose that the appropriate appreciation of nature must include the moral capacity for acknowledging the reality of nature apart from humans and the sensitivity for listening to its own story. I argue that appreciating nature exclusively as design is inappropriate to the extent that we impose upon nature a preconceived artistic standard as well as appreciation based upon historical/cultural/literary associationsinsofar as we treat nature as a background of our own story. In contrast, aesthetic appreciation informed by our attempt to (...) make sense of nature, such as science, mythology, and folklore, is appropriate because it guides our experience toward understanding nature’s own story embodied in its sensuous surface. (shrink)

Wilber's groundbreaking synthesis of religion, philosophy, physics, and psychology started a revolution in transpersonal psychology.

This article examines the underexplored relationship between Amartya Sen’s ‘capability approach’ to human well-being and education. Two roles which education might play in relation to the development of capacities are given particular attention: (i) the enhancement of capacities and opportunities and (ii) the development of judgement in relation to the appropriate exercise of capacities.

如来蔵思想、法華経、中観、唯識、日本仏教等、仏教思想の様々な問題に関する批判的研究23編(和文15編、英文8編)を収録。.

Part I -- Scientific Composition and the New Mechanism. - 1. Laura Franklin-Hall: New Mechanistic Explanation and the Need for Explanatory Constraints. - 2. Kenneth Aizawa: Compositional Explanation: Dimensioned Realization, New Mechanism, and Ground. - 3. Jens Harbecke: Is Mechanistic Constitution a Version of Material Constitution?. - 4. Derk Pereboom: Anti-Reductionism, Anti-Rationalism, and the Material Constitution of the Mental. Part II -- Grounding, Science, and Verticality in Nature. - 5. Jonathan Schaffer: Ground Rules: Lessons from Wilson. - 6. Jessica Wilson: (...) The Unity and Priority Arguments for Grounding. - 7. Carl Gillett: The Metaphysics of Nature, Science, and the Rules of Engagement. - 8. Andrew Melnyk: Grounding and the Formulation of Physicalism. - 9. Alyssa Ney: Grounding in the Philosophy of Mind: A Defense. (shrink)

This article examines the underexplored relationship between Amartya Sen's ‘capability approach’ to human well-being and education. Two roles which education might play in relation to the development of capacities are given particular attention: (i) the enhancement of capacities and opportunities and (ii) the development of judgement in relation to the appropriate exercise of capacities.

Ken Elkins retired as chief photographer of the Anniston Star in 2000, and this selection of his work demonstrates his brilliant eye for finding and capturing images of rural southern lives and landscapes in all their difficulty, candor, and humor. These are unadorned images of a timeless landscape and proud resourceful people, who know well their neighbors, honor their past, and face the tests of daily life with wit and a stoic sense of endurance.

This paper presents an explanation for the breakdown of dominant party systems. In contrast to previous works that examine how ruling parties lose their dominant position as a result of interparty competition, this paper focuses on how they are undermined from within by factional conflict. Through an overview of dominant party systems in the postwar world, we show that most of the ruling parties suffered from major splits that significantly reduced their electoral strengths before their final electoral defeat. In order (...) to explain why large groups of politicians decide to leave dominant parties that are likely to remain in power, we develop simple game-theoretic models of intraparty bargaining between party factions over the distribution of benefits from office. Our results suggest two mechanisms through which dominant parties break up. First, factional defections from dominant parties are likely to occur when they are experiencing a significant decline in public support. Second, factional defections are likely to occur when a non-mainstream faction is rapidly losing its bargaining power against the party leadership. Importantly, our results show that under certain conditions, dominant parties will break up even when their electoral prospects are much better than the opposition. We briefly discuss how these mechanisms can be applied to actual cases of dominant party systems. (shrink)

A sense of agency (SoA) is the experience of subjective awareness regarding the control of one’s actions. Humans have a natural tendency to generate prediction models of the environment and adapt their models according to changes in the environment. The SoA is associated with the degree of the adaptation of the prediction models, e.g., insufficient adaptation causes low predictability and lowers the SoA over the environment. Thus, identifying the mechanisms behind the adaptation process of a prediction model related to the (...) SoA is essential for understanding the generative process of the SoA. In the first half of the current study, we constructed a mathematical model in which the SoA represents a likelihood value for a given observation (sensory feedback) in a prediction model of the environment and in which the prediction model is updated according to the likelihood value. From our mathematical model, we theoretically derived a testable hypothesis that the prediction model is updated according to a Bayesian rule or a stochastic gradient. In the second half of our study, we focused on the experimental examination of this hypothesis. In our experiment, human subjects were repeatedly asked to observe a moving square on a computer screen and press a button after a beep sound. The button press resulted in an abrupt jump of the moving square on the screen. Experiencing the various stochastic time intervals between the action execution button-press) and the consequent event square jumping caused gradual changes in the subjects' degree of their SoA. By comparing the above theoretical hypothesis with the experimental results, we concluded that the update (adaptation) rule of the prediction model based on the SoA is better described by a Bayesian update than by a stochastic gradient descent. (shrink)

Previous findings in cultural psychology indicated that East Asians are more likely than North Americans to be attentive to contextual information (e.g., Nisbett & Masuda, ). However, to what extent and in which conditions culture influences patterns of attention has not been fully examined. As a result, universal patterns of attention may be obscured, and culturally unique patterns may be wrongly assumed to be constant across situations. By carrying out two cross-cultural studies, we demonstrated that (a) both European Canadians (...) and Japanese attended to moving objects similarly when the task was to simply observe the visual information; however, (b) there were cultural variations in patterns of attention when participants actively engaged in the task by constructing narratives of their observation (narrative construction). These findings suggest that cultural effects are most pronounced in narrative construction conditions, where the need to act in accordance with a culturally shared meaning system is elicited. (shrink)

Natural Justice is a bold attempt to lay the foundations for a genuine science of morals using the theory of games. Since human morality is no less a product of evolution than any other human characteristic, the book takes the view that we need to explore its origins in the food-sharing social contracts of our prehuman ancestors. It is argued that the deep structure of our current fairness norms continues to reflect the logic of these primeval social contracts, but the (...) particular fairness norm a society operates is largely a product of cultural evolution. In pursuing this point, the book proposes a naturalistic reinterpretation of John Rawls' original position that reconciles his egalitarian theory of justice with John Harsanyi's utilitarian theory by identifying the environment appropriate to each. (shrink)

It is widely held that Bayesian decision theory is the final word on how a rational person should make decisions. However, Leonard Savage--the inventor of Bayesian decision theory--argued that it would be ridiculous to use his theory outside the kind of small world in which it is always possible to "look before you leap." If taken seriously, this view makes Bayesian decision theory inappropriate for the large worlds of scientific discovery and macroeconomic enterprise. When is it correct to use Bayesian (...) decision theory--and when does it need to be modified? Using a minimum of mathematics, Rational Decisions clearly explains the foundations of Bayesian decision theory and shows why Savage restricted the theory's application to small worlds. The book is a wide-ranging exploration of standard theories of choice and belief under risk and uncertainty. Ken Binmore discusses the various philosophical attitudes related to the nature of probability and offers resolutions to paradoxes believed to hinder further progress. In arguing that the Bayesian approach to knowledge is inadequate in a large world, Binmore proposes an extension to Bayesian decision theory--allowing the idea of a mixed strategy in game theory to be expanded to a larger set of what Binmore refers to as "muddled" strategies. Written by one of the world's leading game theorists, Rational Decisions is the touchstone for anyone needing a concise, accessible, and expert view on Bayesian decision making. (shrink)

The Spectrum of Consciousness (1977)--one of the founding texts of transpersonal psychology--introduces the full-spectrum model, showing how the psychological systems of the West can be integrated with the contemplative traditions of the East. No Boundary: Eastern and Western Approaches to Personal Growth (1979) is a simple yet comprehensive guide to psychologies and therapies available from both Western and Eastern sources. Several important early articles: "The Psychologia Perennis," "Are the Chakras Real?" and "Where It Was, I Shall Become.".

A provocative examination of how the great religious traditions can remain relevant in modern times by incorporating scientific truths learned about human nature over the last century A single purpose lies at the heart of all the great religious traditions: awakening to the astonishing reality of the true nature of ourselves and the universe. At the same time, through centuries of cultural accretion and focus on myth and ritual as ends in themselves, this core insight has become obscured. Here, Ken (...) Wilber provides a path for re-envisioning a religion of the future that acknowledges the evolution of humanity in every realm while remaining faithful to that original spiritual vision. For the traditions to attract modern men and women, Wilber asserts, they must incorporate the extraordinary number of scientific truths learned about human nature in just the past hundred years—for example, about the mind and brain, emotions, and the growth of consciousness—that the ancients were simply unaware of and thus were unable to include in their meditative systems. Taking Buddhism as an example, Wilber demonstrates how his comprehensive Integral Approach—which is already being applied to several world religions by some of their adherents—can avert a “cultural disaster of unparalleled proportions”: the utter neglect of the glorious upper reaches of human potential by the materialistic postmodern worldview. Moreover, he shows how we can apply this approach to our own spiritual practice. This, his most sweeping work since Sex, Ecology, Spirituality, is a thrilling call for wholeness, inclusiveness, and unity in the religions of tomorrow. (shrink)

Binmore argues that game theory provides a systematic tool for investigating ethical matters.