Kenzo saw a slight movement of his opponent. “Now is the time to strike!” he thought. He started moving. But before he had time to raise his shinai (sword) he was struck on the men (head) by his opponent. “Ippon!” the judge called.
Fuzzy logic has become an important tool for a number of different applications ranging from the control of engineering systems to artificial intelligence. In this concise introduction, the author presents a succinct guide to the basic ideas of fuzzy logic, fuzzy sets, fuzzy relations, and fuzzy reasoning, and shows how they may be applied. The book culminates in a chapter which describes fuzzy logic control: the design of intelligent control systems using fuzzy if-then rules which make use of human knowledge (...) and experience to behave in a manner similar to a human controller. Throughout, the level of mathematical knowledge required is kept basic and the concepts are illustrated with numerous diagrams to aid in comprehension. As a result, all those curious to know more about fuzzy concepts and their real-world application will find this a good place to start. (shrink)
The paper is concerned with John Searle’s famous Chinese room argument. Despite being objected to by some, Searle’s Chinese room argument appears very appealing. This is because Searle’s argument is based on an intuition about the mind that ‘we’ all seem to share. Ironically, however, Chinese philosophers don’t seem to share this same intuition. The paper begins by first analysing Searle’s Chinee room argument. It then introduces what can be seen as the (implicit) Chinese view of the mind. Lastly, it (...) demonstrates a conceptual difference between Chinese and Western philosophy with respect to the notion of mind. Thus, it is shown that one must carefully attend to the presuppositions underlying Chinese philosophising in interpreting Chinese philosophers. (shrink)
The paper is concerned with the development of the paradoxical theme of Daoism. Based on Chad Hansen's interpretation of Daoism and Chinese philosophy in general, it traces the history of Daoism by following their treatment of the limit of language. The Daoists seem to have noticed that there is a limit to what language can do and that the limit of language is paradoxical. The 'theoretical' treatment of the paradox of the limit of language matures as Daoism develops. Yet the (...) Daoists seem to have noticed that the limit of language and its paradoxical nature cannot be overcome. At the end, we are left with the paradoxes of the Daoists. In this paper, we jump into the abyss of the Daoists' paradoxes from which there is no escape. But the Daoists' paradoxes are fun! (shrink)
This paper is concerned with a natural deduction system for First Degree Entailment (FDE). First, we exhibit a brief history of FDE and of combined systems whose underlying idea is used in developing the natural deduction system. Then, after presenting the language and a semantics of FDE, we develop a natural deduction system for FDE. We then prove soundness and completeness of the system with respect to the semantics. The system neatly represents the four-valued semantics for FDE.
This study explores the effect of individuation training on the acquisition of race-specific expertise. First, we investigated whether practice individuating other-race faces yields improvement in perceptual discrimination for novel faces of that race. Second, we asked whether there was similar improvement for novel faces of a different race for which participants received equal practice, but in an orthogonal task that did not require individuation. Caucasian participants were trained to individuate faces of one race (African American or Hispanic) and to make (...) difficult eye-luminance judgments on faces of the other race. By equating these tasks we are able to rule out raw experience, visual attention, or performance/success-induced positivity as the critical factors that produce race-specific improvements. These results indicate that individuation practice is one mechanism through which cognitive, perceptual, and/or social processes promote growth of the own-race face recognition advantage. (shrink)
Boltzmann’s lectures on natural philosophy point out how the principles of mathematics are both an improvement on traditional philosophy and also serve as a necessary foundation of physics or what the English call “Natura Philosophy”, a title which he will retain for his own lectures. We start with lecture #3 and the mathematical contents of his lectures plus a few philosophical comments. Because of the length of the lectures as a whole we can only give the main points of each (...) but organized into a coherent study. Behind his mathematics stands his support of Darwinian evolution interpreted in a partly Lamarckian way. He also supported non-Euclidean geometry. Much of Boltzmann’s analysis of mathematics is an attempt to refute Kant’s static a priori categories and his identification of space with “non-sensuous intuition”. Boltzmann’s strong attention toward discreteness in mathematics can be seen throughout the lectures. Part II of this paper will touch on the historical background of atomism and focus on the discrete way of thinking with which Boltzmann approaches problems in mathematics and beyond. Part III briefly points out how Boltzmann related mathematics and discreteness to music. (shrink)
In order to capture the concept of common knowledge, various extensions of multi-modal epistemic logics, such as fixed-point ones and infinitary ones, have been proposed. Although we have now a good list of such proposed extensions, the relationships among them are still unclear. The purpose of this paper is to draw a map showing the relationships among them. In the propositional case, these extensions turn out to be all Kripke complete and can be comparable in a meaningful manner. F. Wolter (...) showed that the predicate extension of the Halpern-Moses fixed-point type common knowledge logic is Kripke incomplete. However, if we go further to an infinitary extension, Kripke completeness would be recovered. Thus there is some gap in the predicate case. In drawing the map, we focus on what is happening around the gap in the predicate case. The map enables us to better understand the common knowledge logics as a whole. (shrink)
It is known that for any subdirectly irreducible finite Heyting algebra A and any Heyting algebra B, A is embeddable into a quotient algebra of B, if and only if Jankov’s formula χ A for A is refuted in B. In this paper, we present an infinitary extension of the above theorem given by Jankov. More precisely, for any cardinal number κ, we present Jankov’s theorem for homomorphisms preserving infinite meets and joins, a class of subdirectly irreducible complete κ-Heyting algebras (...) and κ-infinitary logic, where a κ-Heyting algebra is a Heyting algebra A with # ≥ κ and κ-infinitary logic is the infinitary logic such that for any set Θ of formulas with # Θ ≥ κ, ∨Θ and ∧Θ are well defined formulas. (shrink)
Predicate modal logics based on Kwith non-compact extra axioms are discussed and a sufficient condition for the model existence theorem is presented. We deal with various axioms in a general way by an algebraic method, instead of discussing concrete non-compact axioms one by one.
Research in expert categorization is consistent with the Schyns et al. claim that functional features are determined by constraints imposed by the learning history of the categorizer and the demands of the categorization task. However, the expertise work also suggests that a distinction should be drawn between the categorizer's perceptions of the constituent parts of the object and its functional features. Although experts and novices may parse a domain-specific object into the same parts, their featural interpretations of those parts may (...) differ significantly. (shrink)
This commentary questions whether the category properties of an object can be determined independent of the experience of the categorizer. Expertise studies have shown that the judged properties of an object can differ from expert to novice and from expert to expert. The expertise findings indicate that object properties exist not only in the world, but in the mind of the categorizer.
This paper employs conversation analysis to examine the inter-connection between grammar and displays of contextual understanding, social identity, and social relationships as well as other activities clustering around turn-endings in Japanese talk-in-interaction, while undertaking a restricted comparison with the realisation of similar activities in English. A notable feature of turn-endings in Japanese is the particular salience of grammatical construction on the interactional activities they accomplish. Complete turns which are also syntactically complete are shown to be associated with the explicit display (...) of contextual features, whereas syntactically incomplete turns are designed to circumvent or minimise such displays. The explicit or implicit display of one's social and contextual relationship to the interactional environment is therefore seen to be an integral part of the performance of social actions in Japanese. On the other hand, in English, it is more difficult to establish a clear association between grammar and the inclusion or avoidance of contextual displays. (shrink)
We study the existence of a group of individuals which has some decisive power for social choice correspondences that satisfy a monotonicity property which we call modified monotonicity. And we examine the relation between modified monotonicity and strategy-proofness of social choice correspondences according to the definition by Duggan and Schwartz (2000). We will show mainly the following two results. (1) Modified monotonicity implies the existence of an oligarchy. An oligarchy is a group of individuals such that it has some decisive (...) power (semi-decisiveness), and at least one of the most preferred alternatives of every its member is always chosen by any social choice correspondence. (2) Strategy-proofness of social choice correspondences is equivalent to modified monotonicity. (shrink)
A logic is called 'paraconsistent' if it rejects the rule called 'ex contradictione quodlibet', according to which any conclusion follows from inconsistent premises. While logicians have proposed many technically developed paraconsistent logical systems and contemporary philosophers like Graham Priest have advanced the view that some contradictions can be true, and advocated a paraconsistent logic to deal with them, until recent times these systems have been little understood by philosophers. This book presents a comprehensive overview on paraconsistent logical systems to change (...) this situation. The book includes almost every major author currently working in the field. The papers are on the cutting edge of the literature some of which discuss current debates and others present important new ideas. The editors have avoided papers about technical details of paraconsistent logic, but instead concentrated upon works that discuss more 'big picture' ideas. Different treatments of paradoxes takes centre stage in many of the papers, but also there are several papers on how to interpret paraconistent logic and some on how it can be applied to philosophy of mathematics, the philosophy of language, and metaphysics. (shrink)
In this paper, we show within RCA 0 that weak Konig's lemma is necessary and sufficient to prove that any (separable) compact group has a Haar measure. Within WKL 0 , a Haar measure is constructed by a non-standard method based on a fact that every countable non-standard model of WKL 0 has a proper initial part isomorphic to itself [10].
The doctrine of the two truths - a conventional truth and an ultimate truth - is central to Buddhist metaphysics and epistemology. The two truths (or two realities), the distinction between them, and the relation between them is understood variously in different Buddhist schools; it is of special importance to the Madhyamaka school. One theory is articulated with particular force by Nagarjuna (2nd ct CE) who famously claims that the two truths are identical to one another and yet distinct. One (...) of the most influential interpretations of Nagarjuna's difficult doctrine derives from the commentary of Candrakirti (6th ct CE). In view of its special soteriological role, much attention has been devoted to explaining the nature of the ultimate truth; less, however, has been paid to understanding the nature of conventional truth, which is often described as "deceptive," "illusion," or "truth for fools." But because of the close relation between the two truths in Madhyamaka, conventional truth also demands analysis. Moonshadows, the product of years of collaboration by ten cowherds engaged in Philosophy and Buddhist Studies, provides this analysis. The book asks, "what is true about conventional truth?" and "what are the implications of an understanding of conventional truth for our lives?" Moonshadows begins with a philosophical exploration of classical Indian and Tibetan texts articulating Candrakati's view, and uses this textual exploration as a basis for a more systematic philosophical consideration of the issues raised by his account. (shrink)
Finnigan (200x), in the course of a careful and astute discussion of the difficulties facing a Buddhist account of the moral agency of a buddha, develops a challenging critique of a proposal I made in Garfield (2006). Much of what she says is dead on target, and I have learned much from her paper. But I have serious reservations about the central thrust both of her critique of my own thought and about her proposal for a positive account of (...) a buddha’s enlightened action. Curiously, in another fine paper (Finnigan and Tanaka 200x), Finnigan and her co-author have anticipated much of what I will say in reply. I will rely in part on that second paper in my reply to the essay that appears in this volume. (shrink)
I have first translated Sein und Zeit in Japanese in 1971 in collaboration with my elder colleague Prof. Hara in Tokyo. But in 1976 both he and Martin Heidegger died, and in 1977 a new edition of Sein und Zeit was published as part of Heidegger’s complete works. This new edition included many marginal notes of Heidegger’s and many textual revisions made by Heidegger himself. Therefore, I have published in 2003, based on the old version of my Japanese translation, a (...) totally revised Japanese translation of Sein und Zeit, in which, as translator, I have written a new introduction, many explicatory notes about Heidegger’s marginal notes and textual modifications and a chronological detailed record of Heidegger’s career. Out of this experience, I would like to detail upon two aspects: first, any nowadays reader of this work must study not only the original text itself, but also, by all means, Heidegger’s marginal notes, in order to correctly grasp a development of his thought on Being. Secondary, a reader must especially pay attention to the difficult problem of the relationship between authenticity and inauthenticity of the Being-in-the-world, because here is the most basic problem of the existence of Dasein and it is here the place where the turning point in Heidegger’s later thought on Being has its origin. (shrink)
This article argues how one problem of computing lies in realizing a significant instance given a class or type. Analysis of a case study on digital narrative suggests two general processes for instantiating significant instances: interaction and optimization. The article then explains how the problem of universals needs to be deconstructed when trying to understand what type of entities significant instances are and what the process for obtaining them is.
