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String theory promises to be able to provide us with a working theory of quantum gravity and a unified description of all fundamental forces. In string theory there are so called ‘dualities’; i.e. different theoretical formulations that are physically equivalent. In this article these dualities are investigated from a philosophical point of view. Semantic and epistemic questions relating to the problem of underdetermination of theories by data and the debate on realism concerning scientific theories are discussed. Depending on ones views (...) on semantic issues and realism different interpretations are possible of the dualities. (shrink)

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We prove that if λ is a strong limit singular cardinal and κ a regular uncountable cardinal< λ, then NSκλ, the non-stationary ideal over [Formula: see text], is nowhere precipitous. We also show that under the same hypothesis every stationary subset of [Formula: see text] can be partitioned into λκ disjoint stationary sets.

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This is a nontechnical overview of how various approaches to quantum gravity suggest modifications to the way we conceptualize space and time. A theory of quantum gravity is needed to reconcile quantum physics with general relativity, our best theory for gravity. The most popular approaches to quantum gravity are string theory and loop quantum gravity. So far, no approach has been empirically successful, and there is no commonly accepted theory. Thus, the conclusions presented here are tentative. Many approaches suggest that (...) space and time—or perhaps, it is better to talk about spacetime—might not be fundamental. Various views on how to think about time in quantum gravity are briefly presented. (shrink)

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In this paper we will present a simple condition for an ideal to be nowhere precipitous. Through this condition we show nowhere precipitousness of fundamental ideals onPkλ, in particular the non-stationary idealNSkλunder cardinal arithmetic assumptions.In this sectionIdenotes a non-principal ideal on an infinite setA. LetI+=PA/I(ordered by inclusion as a forcing notion) andI∣X= {Y⊂A:Y⋂X∈I}, which is also an ideal onAforX∈I+. We refer the reader to [8, Section 35] for the general theory of generic ultrapowers associated with an ideal. We recallIis said (...) to be precipitous if ⊨I+“Ult(V, Ġ) is well-founded” [9].The central notion of this paper is a strong negation of precipitousness [1]:Definition.Iis nowhere precipitous ifI∣Xis not precipitous for everyX∈ I+i.e., ⊨I+“Ult(V, Ġ) is ill-founded.”It is useful to characterize nowhere precipitousness in terms of infinite games (see [11, Section 27]). Consider the following gameG(I) between two players, Nonempty and Empty [5]. Nonempty and Empty alternately chooseXn∈I+andYn∈I+respectively so thatXn⊃Yn⊃n+1. After ω moves, Empty wins the game if⋂n<ωXn=⋂n<ωYn= Ø.See [5, Theorem 2] for a proof of the following characterization.Proposition.I is nowhere precipitous if and only if Empty has a winning strategy in G(I). (shrink)

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In this paper, some conceptual issues are addressed in order to make sense of what string theory is supposed to tell us about spacetime. The dualities in string theory are used as a starting point for our argumentation. We explore the consequences of a standard view towards these dualities, namely that the dual descriptions represent the same physical situation. Given this view, one has to understand string theory in a manner such that what counts as physical spacetime is based only (...) on the shared physical content—or common core—of the dual descriptions. In general such a spatiotemporal picture does not have to agree with, or be similar to, any of the ones suggested by naïve readings of the dual descriptions. However, in certain regimes or limits, one or the other of the initial dual descriptions may give a good effective description of physical spacetime. (shrink)

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In the previous article (Found. Phys. Lett. 16:325–341, 2003), we showed that a reciprocity of the Gauss sums is connected with the wave and particle complementary. In this article, we revise the previous investigation by considering a relation between the Gauss optics and the Gauss sum based upon the recent studies of the Weil representation for a finite group.

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We can find some of the works of Indian Buddhist philosophers that prove the authenticity of the Mahāyāna sutras within Sanskrit, Tibetan, and Chinese textual sources. *Jayasena’s critique of *Asvabhāva’s proof was first introduced in the commentaries of Kuiji. Numerous references to *Jayasena in Chinese Yogācāra scriptures indicate that he was regarded as a Yogācāra master. His revised proof was further revised by Xuanzang. According to Xuanzang’s biographies, *Jayasena was an Indian lay Buddhist scholar who had many non-Buddhist disciples. It (...) is, therefore, possible that he discussed the authenticity of the Mahāyāna sutras with his disciples. Following Kuiji’s introduction of *Jayasena’s proof in East Asia, this proof and Xuanzang’s critique have been widely discussed. Wonhyo, one of the most famous Silla Buddhist scholars, critiqued Xuanzang’s revision and published his revised formula. Zenju, a representative Yogācāra master of the Nara period, pointed out some logical problems to be seen in Wonhyo’s revision, but did not provide any alternative. Proof of the authenticity of the Mahāyāna sutras was originally developed as a result of interactions between Mahāyāna and non-Mahāyāna Buddhists. However, the purpose of the proof seems to have shifted from being based on arguments with actual opponents to internal discussions among Mahāyāna Buddhists, especially within East Asia. (shrink)

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玄奘はインドで何を証明したのか―玄奘にまつわる論理式「唯識比量」を巡る、国や時代をまたいだ議論の探究を通じ、論理と歴史の「共生」構造を解き明かす。.

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著者は、師・大森荘蔵の強靱な思索に挑み続けてきた。心とは何かという、哲学史上最も難しい問いに立ち向かい、独我論の色彩濃い大森哲学の中から救い出されるのは、「世界」と「心ある他者」。この記念碑的著作に、 大森は反論などの書き込みを遺していた。本書では、大森のメモへの応答も収録し、生々しい哲学的実践を再現した。.

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This book examines the general views of artificial intelligence. It also explores the idea of consciousness, consciousness pictures, and mechanisms for wet consciousness and dry consciousness.

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We apply the technique of generic ultrapowers to study the splitting problem of stationary subsets of P K λ . We present some conditions which guarantee the splitting of stationary subsets of P K λ.

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Born in China about 551 b.c., Confucius formulated an extremely influential and far-reaching ethical system emphasizing devotion to parents, family, and friends; cultivation of the mind, self-control, and just social activity. In this excellent biography, a noted Japanese scholar develops an insightful portrait of Confucius against the social and political background of his day, based on a meticulous and detailed examination of early original sources. Following an extensive introductory section devoted to the state of China in the sixth and fifth (...) centuries b.c., the author offers succinct, perceptive discussions of Confucius' birth, education, and upbringing; his attitudes toward his predecessors, and views on man as a social being; Confucius as a statesman, the concept of "government by virtue," the failure of the Confucian revolution, the years of wandering, and more. Concise, carefully researched and well-written, this volume offers an excellent introduction to the life and thought of one of history's most influential thinkers--a book sure to appeal to anyone interested in the philosophical, political, and religious movements of the ancient Far East. Unabridged republication of the work published by George Allen & Unwin Ltd., London and The Macmillan Company, New York, 1956. Translated by Geoffrey Bownas. General Introduction. Translator's Note. Appendices. Index. 1 black-and-white illustration. 2 maps. (shrink)

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ABSTRACTThe Japanese translation of Bernard Suits's The Grasshopper was published in 2015. We report in this article the background of the translation, the way our project was operated, some notable difficulties we had and the impact that our translation has had so far. The description of the difficulties with translation touches upon how we interpreted the terms ‘lusory’ and ‘prelusory’. This article also includes an appendix describing the history of how the word ‘grasshopper’ has been translated into Japanese.

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「デモクラシーこそは歴史の未来である」。誕生間もないアメリカ社会にトクヴィルが見いだしたのは、合衆国という特殊性を超えた、歴史の「必然」としての平等化だった。「平等化」をキーワードに、その思想の今日的 意義を甦らせる。.

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Many contemporary physicists suggest that we should take the claim that we live in a multiverse seriously. When doing this they often invoke arguments based on the controversial anthropic principle. Critics argue that this leads to untestable and unscientific theories. In this paper criteria are suggested that need to be satisfied before a multiverse theory should be considered scientifically respectable. One important point is that the multiverse is described in sufficient detail. In some cases, a multiverse theory can be testable; (...) however, to properly test a multiverse theory it is important to distinguish new predictions from explanations based on the multiverse. (shrink)

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A collection of essays discussing the philosophy and foundations of quantum gravity. Written by leading philosophers and physicists in the field, chapters cover the important conceptual questions in the search for a quantum theory of gravity, and the current state of understanding among philosophers and physicists.

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Inequality and injustice in education have been viewed from the perspective of social justice. Since the emergence of John Rawls’s A Theory of Justice, social justice issues have attracted the attention of social and political philosophers. Theoretical consequences of social and political philosophy have been actively incorporated into the field of education. However, the issue of educational justice remains controversial and requires further philosophical consideration. To further philosophical consideration, this paper explores how the class or the classroom can generate space (...) and time for democracy, by focusing on the educational specificity of the classroom community, which is called ‘Gakkyu’ in Japanese. Social justice in education is not only a policy issue, but also a practical issue which should be tackled in the classroom. Rethinking the ways of democracy to face conflicts arising due to differences and equality of children in the classroom is an important method of bridging social justice and education. In this paper, the following question will be explored: how classroom democracy can be nurtured and the classroom community transformed into a democratic place where children from various background and experiences gather and learn from each other. (shrink)

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隣の部屋のテーブルは、誰も見ていなくてもある、つまり、知覚されていなくても物はある。私は他人の痛みを痛むことはできない、他人の心のありようは知りえない―物と知覚、他我問題など哲学の根本問題と切り結び、 独自の思索を展開した大森荘蔵。「その全身で自らの思索を刻んでいく姿を描き出し」た、哲学の魅力あふれる一冊。.

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The modeling of black holes is an important desideratum for any quantum theory of gravity. Not only is a classical black hole metric sought, but also agreement with the laws of black hole thermodynamics. In this paper, we describe how these goals are achieved in string theory. We review black hole thermodynamics, and then explicate the general stringy derivation of classical spacetimes, the construction of a simple black hole solution, and the derivation of its entropy. With that in hand, we (...) address some important philosophical and conceptual questions: the confirmatory value of the derivation, the bearing of the model on recent discussions of the so-called ‘information paradox’, and the implications of the model for the nature of space. (shrink)

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String theory has been the dominating research field in theoretical physics during the last decades. Despite the considerable time elapse, no new testable predictions have been derived by string theorists and it is understandable that doubts have been voiced. Some people have argued that it is time to give up since testability is wanting. But the majority has not been convinced and they continue to believe that string theory is the right way to go. This situation is interesting for philosophy (...) of science since it highlights several of our central issues. In this paper we will discuss string theory from a number of different perspectives in general methodology. We will also relate the realism/antirealism debate to the current status of string theory. Our goal is two-fold; both to take a look at string theory from philosophical perspectives and to use string theory as a test case for some philosophical issues. (shrink)

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