ObjectiveNoisy galvanic vestibular stimulation (nGVS) is often used to improve postural stability in disorders, such as neurorehabilitation montage. For the safe use of nGVS, we investigated whether arterial pressure (AP) and heart rate vary during static supine and slow whole-body tilt with random nGVS (0.4 mA, 0.1–640 Hz, gaussian distribution) in a healthy elderly population.MethodsThis study was conducted with a double-blind, sham-controlled, cross-over design. Seventeen healthy older adults were recruited. They were asked to maintain a static supine position on a (...) bed for 10 min, and the bed was tilted up (TU) to 70 degrees within 30 s. After maintaining this position for 3 min, the bed was passively tilted down (TD) within 30 s. Real-nGVS or sham-nGVS was applied from 4 to 15 min. The time course of mean arterial pressure (MAP) and RR interval variability (RRIV) were analyzed to estimate the autonomic nervous activity.ResultnGVS and/or time, including pre-/post-event (nGVS-start, TU, and TD), had no impact on MAP and RRIV-related parameters. Further, there was no evidence supporting the argument that nGVS induces pain, vertigo/dizziness, and uncomfortable feeling.ConclusionnGVS may not affect the AP and RRIV during static position and whole-body tilting or cause pain, vertigo/dizziness, and discomfort in the elderly. (shrink)

One of the central debates in the cognitive science of language has revolved around the nature of human linguistic competence. Whether syntactic competence should be characterized by abstract hierarchical structures or reduced to surface linear strings has been actively debated, but the nature of morphological competence has been insufficiently appreciated despite the parallel question in the cognitive science literature. In this paper, in order to investigate whether morphological competence should be characterized by abstract hierarchical structures, we conducted the crowdsourced acceptability (...) judgment experiment on morphologically complex words and evaluated five computational models of morphological competence against human acceptability judgments: Character Markov Models (Character), Syllable Markov Models (Syllable), Morpheme Markov Models (Morpheme), Hidden Markov Models (HMM), and Probabilistic Context-Free Grammars (PCFG). Our psycholinguistic experimentation and computational modeling demonstrated that "morphous" computational models with morpheme units outperformed "amorphous" computational models without morpheme units and, importantly, PCFG with hierarchical structures most accurately explained human acceptability judgments on several evaluation metrics, especially for morphologically complex words with nested morphological structures. Those results strongly suggest that human morphological competence should be characterized by abstract hierarchical structures internally generated by the grammar, not reduced to surface linear strings externally attested in large corpora. (shrink)

This paper examines the semantics and pragmatics of the Japanese causal connective mono. We show that the meaning of mono has three components: a causal relation, an emotive attitude toward the causing proposition, and an indication that the causal relation is of high quality. Further, we show that the latter two components are not at-issue content but expressive content. A formalization is provided in terms of the analysis of mixed content in McCready (2010). Finally, the proposal is briefly compared with (...) previous, informal, accounts of the meaning of mono. (shrink)

The purpose of this paper is phe-nomenological interpretation of the various faces of divinity in the later Heidegger and elucidation of the human comportment corresponding to this divinity. In the first chapter, I will make clear the relation between ontological difference in the sense of the later Heidegger and the primordial dimension of divinity which is called the last god and the sacred. Further, the relation between such divinity and entity as a whole will be clarified. In the second chapter, (...) I will elucidate the place of the divinities in the manifestation of entity as a whole by considering the role of the godlikes in the fourfold. When the primordial alterity of the last god should be experienced in entity as whole, which leads to the notion of the godlikes, it must confront human subject in totally asymmetrical manner. Such asymmetrical communication can be structurally made explicit by taking the concept of “discourse” in Being and Time into account. Finally, I will consider the character of human comportment called preservation with focusing on its relation to the later Heidegger’s conceptions of divinity. This will shed light on how human beings could properly appreciate the experience of what is beyond our understanding and nevertheless supporting our existence.El objetivo de la ponencia es llevar a cabo una interpretación fenomenológica de las diversas facetas de la divinidad en el Hei-degger tardío y elucidar el comportamiento humano respecto de esta divinidad. En el primer capítulo, se esclarece la relación entre la diferencia ontológica en el sentido que le da el segundo Heidegger y la dimensión primordial de la divinidad, llamada el último dios y lo sagrado. A conti-nuación, se esclarecerá la relación entre la divinidad así concebida y lo ente en totalidad. En el segundo apar-tado, se elucidará el lugar de las divinidades en la manifestación de lo ente en totalidad considerando el papel de los divinos la Cuaternidad. Cuando la alteridad primordial del último dios se experimente en lo ente en totaliadd, lo cual conduce a la noción de los divinos, tiene que enfrentarse al sujeto humano de una forma totalmente asimétrica. Esta comunicación asimétrica puede explicitarse estructuralmente mediante la consideración del concepto del discurso en Ser y tiempo. Final-mente, consideraré el carácter del comportamiento humano denominado la preservación, con especial atención a su relación con la noción de lo divino en Heidegger tardío. Esto arrojará luz sobre cómo los seres humanos podrían apreciar de manera adecuada lo que está más allá de nuestra comprensión y sin embargo, sostiene nuestra existencia. (shrink)

The paper traces the development and the role of syntactic reduction in Edmund Husserl’s early writings on mathematics and logic, especially on arithmetic. The notion has its origin in Hermann Hankel’s principle of permanence that Husserl set out to clarify. In Husserl’s early texts the emphasis of the reductions was meant to guarantee the consistency of the extended algorithm. Around the turn of the century Husserl uses the same idea in his conception of definiteness of what he calls “mathematical manifolds.” (...) The paper argues that the notion anticipates the notion of reduction in term rewrite theory in computer science. The role of the reduction for Husserl is, however, primarily epistemological: its purpose is to impart clarity to formal mathematics. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Journal of Aesthetic Education 37.4 (2003) 73-84 [Access article in PDF] Music-Picture:One Form of Synthetic Art Education"Music-picture (a picture drawn through musical perception)" has been widely accepted by art educators in Japan. The purpose of this essay is to propose the making of music-pictures as art education and to put it on afirm theoretical base. I first investigate three gestalt rules: adjacency, continuance, and resemblance, all of which (...) are applicable to the senses of both seeing and hearing. Next I present research on color hearing as one version ofsynaesthesia, which is the comprehensive faculty that binds the five senses in various ways. The well-organized music-picture program by Kaoru Sasaki 1 is introduced as an example. 2 The synthetic art-educational value of music-picture will become clearer through these examinations. The Interrelations between Visual Arts and Music It is exciting that the visual arts meet music in an art class, even if these subjects are entirely different in regard to media, expressive form, the category of perception, and mastery of techniques. Put simply, Picasso's works are visible, whereas Stravinsky's pieces are invisible. Nevertheless, both powerfully convey imaginative and often narrative messages. Relying on intuition alone, I firmly believe both are interchangeable.My research on common methods of organizing both recorded music and painting was my first observation of the mutual relationship between music and visual arts. 3 But what I considered then would not be applied to art class directly because the research was based on my practical experience. It did not have any educational goals. Now I recognize that instructive approaches are necessary to lay the foundation for art classes dealing with interaction between two distinct modalities.In Japan, the Ministry of Education and Science provides the government curriculum guidelines nearly every ten years. It contains descriptions on two subjects: The visual arts and music taught in these classes are at an elementary school level and a junior high school level, both located within a compulsory education system. The new version has been in force since April 2002 (the new school term starts in April in Japan). Objectives in the two educational fields are similar and ideas of what art and music education ought to be are almost the same. The aim common to both in the government curriculum guidelines: "Through expression and appreciation, we [End Page 73] cultivate students' sentiments" invites the linking of music and the visual arts across the curriculum.Many art educators in Japan are interested in this sort of idea and have actually put it into practice. 4 They are engaged in interrelating or even unifying music and the visual arts. Additionally I know other teachers who have designed and proposed many ideas toward this crossover. Listed below are general ideas that seek to combine visual arts with music in an art class.1) Music-picture: to make a pictorial description of impressions received from music.2) Sound map: to make a map of sounds heard at a given location. Each sound is visualized by simple marks like - - -, <<<, ~~~, ooo, and xxx.3) Graphic notation: to write a score which directs the details, whole form, and progression of music by graphics instead of staff notation. Using onomatopoeias or instructions by words are common. It can be improvised, based on intuitively translating visual impacts into sounds.4) Sound toy: to make an original musical instrument of familiar easil obtained materials. For instance, a corrugated cardboard ukulele whose strings are rubber bands, a pair of maracas made of empty cans and soybeans, and so forth.5) Sound sculpture: to make sculpture producing interesting sounds (sometimes noises like creak or clatter). Extensive genres: wood sculpture, metal construction, assemblage (junk arts), kinetic arts, and so on.6) Sound installation: to make a place where participants experience sounds generated by objects or equipment.7) Multimedia: in the broad sense, to mix visuals with music; noises like jingle, tap, and bang! in daily life, or natural environmental sounds like a pit-a-pat of falling rain, a whisper of leaves, or... (shrink)

It is well known that the modal logic S5 can be embedded in the classical predicate logic by interpreting the modal operator in terms of a quantifier. Wajsberg [10] proved this fact in a syntactic way. Mints [7] extended this result to the quantified version of S5; using a purely proof-theoretic method he showed that the quantified S5 corresponds to the classical predicate logic with one-sorted variable. In this paper we extend Mints' result to the basic modal logic S4; we (...) investigate the correspondence between the quantified versions of S4 (with and without the Barcan formula) and the classical predicate logic (with one-sorted variable). We present a purely proof-theoretic proof-transformation method, reducing an LK-proof of an interpreted formula to a modal proof. (shrink)

This article considers social choice theory without the Pareto principle. We revisit the trade-off theorem developed by Campbell and Kelly (Econometrica 61:1355–1365, 1993) and generalize their result. By introducing an alternative measure of decisive structure, a dominance relation, we show that if a social welfare function dominates another social welfare function, then the number of pairs of alternatives which social ranking is independently of individual preferences under the former is not more than that under the latter. Moreover, we offer two (...) applications of our main result. (shrink)

In the performing arts, such as music and dance performances, people actively interact with each other and show their exciting performances. Some studies have proposed that this interaction is a social origin of the performing arts. Some have further investigated this phenomenon based on the synchronization and coordination theory. Though the majority of these studies have focused on the collaborative context, several genres of the performing arts, such as jazz sessions and breakdance battles, have a competitive context. Several studies have (...) suggested that, in this competitive context, performers actively interact with each other and construct some correspondence. Moreover, a few recent studies focusing on competitive conversations, such as debates, have shown that, compared to people's interactions in collaborative conversations, people in competitive contexts frequently coordinate their behaviors in complicated ways. However, the interaction and coordination among performers in these competitive contexts have not been sufficiently investigated. Therefore, we investigated the coordination of expert breakdancers in battle scenes and measured their rhythmic movements using a motion capture system. We calculated the relative phase of the rhythmic movements between two dancers to investigate their coordination. The results showed that the dancers' rhythmic movements tended to synchronize in an anti-phase fashion, which means that there were similarities as well as differences between the two dancers' rhythmic movements. Furthermore, this pattern of coordination changed dynamically as time elapsed, from an in-phase synchronization or leader-follower relationships to an anti-phase synchronization and then leader-follower relationships. (shrink)

The thesis according to which the meaning of a mathematical sentence is given by its proof was held by both Wittgenstein and the intuitionists, following Heyting and Dummett. In this paper, we clarify the meaning of this thesis for Wittgenstein, showing how his position differs from that of the intuitionists. We show how the thesis originates in his thoughts, from the middle period, about proofs by induction, and we sketch his answers to a number of objections, including the idea that, (...) given the particular meaning he gives to this thesis, he cannot account for mathematical conjectures. We conclude by showing how his views find a favourable echo today in the paradigm of “proposition-as-type” and extensions of the Curry-Howard isomorphism from which this paradigm originates. (shrink)

It is well known that the modal logic S5 can be embedded in the classical predicate logic by interpreting the modal operator in terms of a quantifier. Wajsberg proved this fact in a syntactic way. Mints extended this result to the quantified version of S5; using a purely proof-theoretic method he showed that the quantified S5 corresponds to the classical predicate logic with one-sorted variable. In this paper we extend Mints’ result to the basic modal logic S4; we investigate the (...) correspondence between the quantified versions of S4 and the classical predicate logic. We present a purely proof-theoretic proof-transformation method, reducing an LK-proof of an interpreted formula to a modal proof. (shrink)

As humans, we constantly change our movement strategies to adapt to changes in physical functions and the external environment. We have to walk very slowly in situations with a high risk of falling, such as walking on slippery ice, carrying an overflowing cup of water, or muscle weakness owing to aging or motor deficit. However, previous studies have shown that a normal gait pattern at low speeds results in reduced efficiency and stability in comparison with those at a normal speed. (...) Another possible strategy is to change the gait pattern from normal to step-to gait, in which the other foot is aligned with the first swing foot. However, the efficiency and stability of the step-to gait pattern at low speeds have not been investigated yet. Therefore, in this study, we compared the efficiency and stability of the normal and step-to gait patterns at intermediate, low, and very low speeds. Eleven healthy participants were asked to walk with a normal gait and step-to gait on a treadmill at five different speeds, ranging from very low to normal walking speed. The efficiency parameters and stability parameters were analyzed from the motion capture data and then compared for the two gait patterns. The results suggested that step-to gait had a more efficient gait pattern at very low speeds of 10–30 m/min, with a larger percent recovery, and was more stable at 10–60 m/min in comparison with a normal gait. However, the efficiency of the normal gait was better than that of the step-to gait pattern at 60 m/min. Therefore, step-to gait is effective in improving gait efficiency and stability when faced with situations that force us to walk slowly or hinder quick walking because of muscle weakness owing to aging or motor deficit along with a high risk of falling. (shrink)

In this paper, we show the equivalence between the provability of a proof system of basic hybrid logic and that of translated formulas of the classical predicate logic with equality and explicit substitution by a purely proof–theoretic method. Then we show the equivalence of two groups of proof systems of hybrid logic: the group of labelled deduction systems and the group of modal logic-based systems.

Recently Lafont [6] showed the finite model property for the multiplicative additive fragment of linear logic (MALL) and for affine logic (LLW), i.e., linear logic with weakening. In this paper, we shall prove the finite model property for intuitionistic versions of those, i.e. intuitionistic MALL (which we call IMALL), and intuitionistic LLW (which we call ILLW). In addition, we shall show the finite model property for contractive linear logic (LLC), i.e., linear logic with contraction, and for its intuitionistic version (ILLC). (...) The finite model property for related substructural logics also follow by our method. In particular, we shall show that the property holds for all of FL and GL - -systems except FL c and GL - c of Ono [11], that will settle the open problems stated in Ono [12]. (shrink)

Short interspersed repetitive elements, or SINEs, are tRNA-derived retroposons that are dispersed throughout eukaryotic genomes and can be present in well over 104 total copies. The enormous volume of SINE amplifications per organism makes them important evolutionary agents for shaping the diversity of genomes, and the irreversible, independent nature of their insertion allows them to be used for diagnosing common ancestry among host taxa with extreme confidence. As such, they represent a powerful new tool for systematic biology that can be (...) strategically integrated with other conventional phylogenetic characters, most notably morphology and DNA sequences. This review covers the basic aspects of SINE evolution that are especially relevant to their use as systematic characters and describes the practical methods of characterizing SINEs for cladogram construction. It also discusses the limits of their systematic utility, clarifies some recently published misunderstandings, and illustrates the effective application of SINEs for vertebrate phylogenetics with results from selected case studies. BioEssays 22:148–160, 2000. ©2000 John Wiley & Sons, Inc. (shrink)

A complete list of Finsler, Scott and Boffa sets whose transitive closures contain 1, 2 and 3 elements is given. An algorithm for deciding the identity of hereditarily finite Scott sets is presented. Anti-well-founded sets, i. e., non-well-founded sets whose all maximal ∈-paths are circular, are studied. For example they form transitive inner models of ZFC minus foundation and empty set, and they include uncountably many hereditarily finite awf sets. A complete list of Finsler and Boffa awf sets with 2 (...) and 3 elements in their transitive closure is given. Next the existence of infinite descending ∈-sequences in Aczel universes is shown. Finally a theorem of Ballard and Hrbáček concerning nonstandard Boffa universes of sets is considerably extended. (shrink)

Proof-theory has traditionally been developed based on linguistic (symbolic) representations of logical proofs. Recently, however, logical reasoning based on diagrammatic or graphical representations has been investigated by logicians. Euler diagrams were introduced in the eighteenth century. But it is quite recent (more precisely, in the 1990s) that logicians started to study them from a formal logical viewpoint. We propose a novel approach to the formalization of Euler diagrammatic reasoning, in which diagrams are defined not in terms of regions as in (...) the standard approach, but in terms of topological relations between diagrammatic objects. We formalize the unification rule, which plays a central role in Euler diagrammatic reasoning, in a style of natural deduction. We prove the soundness and completeness theorems with respect to a formal set-theoretical semantics. We also investigate structure of diagrammatic proofs and prove a normal form theorem. (shrink)

Recently Lafont [6] showed the finite model property for the multiplicative additive fragment of linear logic and for affine logic, i.e., linear logic with weakening. In this paper, we shall prove the finite model property for intuitionistic versions of those, i.e. intuitionistic MALL, and intuitionistic LLW. In addition, we shall show the finite model property for contractive linear logic, i.e., linear logic with contraction, and for its intuitionistic version. The finite model property for related substructural logics also follow by our (...) method. In particular, we shall show that the property holds for all of FL and GL$^-$-systems except FL$_c$ and GL$^-_c$ of Ono [11], that will settle the open problems stated in Ono [12]. (shrink)

To investigate the cognitive processes underlying creative inspiration, we tested the extent to which viewing or copying prior examples impacted creative output in art. In Experiment 1, undergraduates made drawings under three conditions: copying an artist's drawing, then producing an original drawing; producing an original drawing without having seen another's work; and copying another artist's work, then reproducing that artist's style independently. We discovered that through copying unfamiliar abstract drawings, participants were able to produce creative drawings qualitatively different from the (...) model drawings. Process analyses suggested that participants' cognitive constraints became relaxed, and new perspectives were formed from copying another's artwork. Experiment 2 showed that exposure to styles of artwork considered unfamiliar facilitated creativity in drawing, while styles considered familiar did not do so. Experiment 3 showed that both copying and thoroughly viewing artwork executed using an unfamiliar style facilitated creativity in drawing, whereas merely thinking about alternative styles of artistic representation did not do so. These experiments revealed that deep encounters with unfamiliar artworks—whether through copying or prolonged observation—change people's cognitive representations of the act of drawing to produce novel artwork. (shrink)

We shall give a direct proof of the independence result of a Buchholz style-Hydra Game on labeled finite trees. We shall show that Takeuti-Arai's cut-elimination procedure of $(\Pi^{1}_{1}-CA) + BI$ and of the iterated inductive definition systems can be directly expressed by the reduction rules of Buchholz's Hydra Game. As a direct corollary the independence result of the Hydra Game follows.

We first note that Gentzen's proof-reduction for his consistency proof of PA can be directly interpreted as moves of Kirby-Paris' Hydra Game, which implies a direct independence proof of the game . Buchholz's Hydra Game for labeled hydras is known to be much stronger than PA. However, we show that the one-dimensional version of Buchholz's Game can be exactly identified to Kirby-Paris' Game , by a simple and natural interpretation . Jervell proposed another type of a combinatorial game, by abstracting (...) Gentzen's proof-reductions and showed that his game is independent of PA. We show that this Jervell's game is actually much stronger than PA, by showing that the critical ordinal of Jervell's game is φω = ϵ0) in the Veblen hierarchy of ordinals. (shrink)

Hobbes's unusual religious views in his classical work, Leviathan, are often seen as a product of his attempt to reconcile Christianity with his philosophical materialism. Yet given Hobbes's materialistic view in his earlier works too, this explanatory framework alone is not sufficient for grasping distinctive features of Leviathan. This article remedies this lacuna by paying close attention to an understudied aspect of the development of Hobbes's religious theory from The Elements of Law to Leviathan: his treatment of the supernatural and, (...) particularly, of matters of faith known by supernatural revelation as opposed to natural reason. I argue that over time Hobbes developed an epistemological analysis of supernatural revelation and refined his argument about the sense in which matters of faith are supernatural and about the extent to which they are found in the Bible. It was not materialism per se but the more sophisticated analysis of the supernatural in Leviathan that enabled Hobbes to admit the sphere of the supernatural to a much smaller extent than in De Cive and to discuss in detail what he sees as a matter of faith and beyond the scope of philosophy in De Cive. (shrink)

We introduce a simple inference system based on two primitive relations between terms, namely, inclusion and exclusion relations. We present a normalization theorem, and then provide a characterization of the structure of normal proofs. Based on this, inferences in a syllogistic fragment of natural language are reconstructed within our system. We also show that our system can be embedded into a fragment of propositional minimal logic.