Determining the relationship between the entire brain structure and individual differences is important in extending healthy life expectancy, which can be affected by brain atrophy. The entire brain structure has been gradually known to be correlated not only with age but also with individual differences, such as quality of life, general intelligence, and lifestyle. However, little attention has been paid to the relationship between the entire brain structure and personal traits. We herein focused on one personal trait, namely spiritual growth, (...) and examined its relationship with the entire brain structure using two neuroimaging-derived measures, namely the gray matter Brain Healthcare Quotient, a measure of GM volume, and the fractional anisotropy Brain Healthcare Quotient, a measure of white matter integrity, in 229 healthy participants. The results indicated no significant relationship between the GM-BHQ and spiritual growth, but there was a significant positive correlation between the FA-BHQ and spiritual growth after controlling for age, sex, and body mass index with partial correlation analysis. Furthermore, multiple regression analysis revealed a significant positive correlation between the FA-BHQ and spiritual growth after controlling for physical characteristics, such as age, sex, and BMI, as well as other variables related to lifestyle that were collected using the Health-Promoting Lifestyle Profile. These results support the idea that there is a relationship between the entire WM brain structure and spiritual growth. Further studies are required to clarify the causal relationship between the entire WM brain structure and spiritual growth with some interventions to improve spiritual growth. Such studies will help extend healthy life expectancy from a new perspective of personal trait. (shrink)

Many cultures have had knowledge imposed from outside, whether by force or for reasons of power, to the detriment of their own endogenous knowledge and the wisdom developed throughout their history. Would Japan’s acquisition of Western knowledge have led but to the development of a lesser know-how, devoid of meaning or sense, or even of knowledge which it might be better to ignore? Far from benefiting from an endogenous development or a modernization respectful of beings and of their environment, the (...) developing countries that superficially adopt this unilateral knowledge undergo a type of ‘self-colonization’. Although concurring with biologist Keiko Nakamura’s theory that scientific attitudes must be studied from within, Masahiro Hamashita considers that knowledge from outside allows for more solid internal reflection. He thus advocates the development of an integrated, hybrid knowledge, where external knowledge is mixed with internal knowledge in a spontaneous, harmonious way, as was the case with the traditional knowledge that Japan acquired from China. (shrink)

The Abhidharmakosabha'ya, preserved at the Ethnographic Museum in Stockholm, is the second longest Abhidharma text in Uighur. The important Buddhist text was written in Sanskrit by Vasubandhu and translated into Chinese by Zhen Di (499-569 AD) and Xuan Zang (602-664 AD). Later during the Yuan Dynasty the text was translated from Chinese to Uighur on the basis of Xuan Zang's version of the original Sanskrit text. Masahiro Shogaito examines the Uighur version of the Abhidharmakosabha'ya and provides the Uighur text (...) in transcription and the English translation with the corresponding Chinese text on opposite pages. The volume contains additional commentaries, a glossary and the original manuscripts as facsimiles. (shrink)

We show that every MALL proof-structure [9] satisfies the property of softness, originally a categorical notion introduced by Joyal. Furthermore, we show that the notion of hereditary softness precisely captures Girard’s algebraic restriction of the technical condition on proof-structures. Relying on this characterization, we prove a MALL+Mix sequentialization theorem by a proof-theoretical method, using Girard’s notion of jump. Our MALL+Mix correctness criterion subsumes the Danos/Fleury-Retoré criterion [6] for MLL+Mix.

We introduce the Easton collapse and show that the two-stage iteration of Easton collapses gives a model in which the successor of a regular cardinal carries a strongly saturated filter. This allows one to get a model in which many successor cardinals carry saturated filters just by iterating Easton collapses.

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)

現代における重要テーマをめぐって重ねてきた言葉たちを結晶化した対談集。対談者:戸谷洋志、小松原織香、山口尚、永井玲衣.

In our former works, for a given concept of reduction, we study the following hypothesis: “For a random oracle A, with probability one, the degree of the one-query tautologies with respect to A is strictly higher than the degree of A.” In our former works (Suzuki in Kobe J. Math. 15, 91–102, 1998; in Inf. Comput. 176, 66–87, 2002; in Arch. Math. Logic 44, 751–762), the following three results are shown: The hypothesis for p-T (polynomial-time Turing) reduction is equivalent to (...) the assertion that the probabilistic complexity class R is not equal to NP; The hypothesis for p-tt (polynomial-time truth-table) reduction implies that P is not NP; The hypothesis holds for each of the following: disjunctive reduction, conjunctive reduction, and p-btt (polynomial-time bounded-truth-table) reduction. In this paper, we show the following three results: (1) Let c be a positive real number. We consider a concept of truth-table reduction whose norm is at most c times size of input, where for a relativized propositional formula F, the size of F denotes the total number of occurrences of propositional variables, constants and propositional connectives. Then, our main result is that the hypothesis holds for such tt-reduction, provided that c is small enough. How small c can we take so that the above holds? It depends on our syntactic convention on one-query tautologies. In our setting, the statement holds for all c < 1. (2) The hypothesis holds for monotone truth-table reduction (also called positive reduction). (3) Dowd (in Inf. Comput. 96, 65–76, 1992) shows a polynomial upper bound for the minimum sizes of forcing conditions associated with a random oracle. We apply the above result (1), and get a linear lower bound for the sizes. (shrink)

This book is a collection of all the papers published in the special issue “Philosophy and Meaning in Life Vol.4: Selected Papers from the Pretoria Conference,” Journal of Philosophy of Life, Vol.12, No.1, 2022, pp.1-115. -/- Theorizing About Meaning in Life Cheshire Calhoun -/- Is It Possible to Say ‘Yes’ to Traumatic Experiences?: A Philosophical Approach to Human Suffering Masahiro Morioka -/- Why Beauvoir Is Not a Subjectivist about Meaning in Life Kiki Berk -/- Axiological Values Grounded in Basic (...) Motivational Dispositions: How to Be a Subjectivist about Meaning in Life Frank Martela -/- Pessimism, Political Critique, and the Contingently Bad Life Patrick O’Donnell -/- Reason, Luck, and Meaning: A Critique of the Moralist View of Meaning in Life Kazuki Watanabe. (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 prove that the full completeness theorem for MLL+Mix holds by the simple interpretation via formulas as objects and proofs as Z-invariant morphisms in the *-autonomous category of topologized vector spaces. We do this by generalizing the recent work of Blute and Scott 101–142) where they used the semantical framework of dinatural transformation introduced by Girard–Scedrov–Scott , Logic from Computer Science, vol. 21, Springer, Berlin, 1992, pp. 217–241). By omitting the use of dinatural transformation, our semantics evidently allows the interpretation (...) of the cut-rule, while the original Blute–Scott's does not. Moreover, our interpretation for proofs is preserved automatically under the cut elimination procedure. In our semantics proofs themselves are characterized by the concrete algebraic notion “Z-invariance”, and our denotational semantics provides the full completeness. Our semantics is naturally extended to the full completeness semantics for CyLL+Mix owing to an elegant method of Blute–Scott 1413–1436) 101–142))). (shrink)

Let f ϵ Z [ X, Y ] be irreducible. We give a condition that there are only finitely many integers n ϵ Z such that f is reducible and we give a bound for such integers. We prove a similar result for polynomials with coefficients in polynomial rings. Both results are proved by, so-called, nonstandard arithmetic.

A change of gaze behavior at a small mistake moment is a natural response that reveals our own mistakes and suggests an apology to others with whom we are working or interacting. In this paper we investigate how robot gaze behaviors at small mistake moments change the impressions of others. To prepare gaze behaviors for a robot, first, we identified by questionnaires how human gaze behaviors change in such situations and extracted three kinds: looking at the other, looking down, and (...) looking away. We prepared each gaze behavior, added a no-gaze behavior, and investigated how a robot’s gaze behavior at a small mistake moment changes the impressions of the interacting people in a simple cooperative task. Experiment results show that the ‘looking at the other’ gaze behavior outperforms the other gaze behaviors and indicates the degrees of perceived apologeticness and friendliness. Keywords: Communication robots; gaze; mistake; mitigation. (shrink)

In this paper, we present a categorical model for Multiplicative Additive Polarized Linear Logic , which is the linear fragment of Olivier Laurent’s Polarized Linear Logic. Our model is based on an adjunction between reflective/coreflective full subcategories / of an ambient *-autonomous category . Similar structures were first introduced by M. Barr in the late 1970’s in abstract duality theory and more recently in work on game semantics for linear logic. The paper has two goals: to discuss concrete models and (...) to present various completeness theorems.As concrete examples, we present a hypercoherence model, using Ehrhard’s hereditary/anti-hereditary objects, a Chu-space model, a double gluing model over our categorical framework, and a model based on iterated double gluing over a *-autonomous category.For the multiplicative fragment of. (shrink)

This paper presents a polarized phase semantics, with respect to which the linear fragment of second order polarized linear logic of Laurent [15] is complete. This is done by adding a topological structure to Girard's phase semantics [9]. The topological structure results naturally from the categorical construction developed by Hamano—Scott [12]. The polarity shifting operator ↓ (resp. ↑) is interpreted as an interior (resp. closure) operator in such a manner that positive (resp. negative) formulas correspond to open (resp. closed) facts. (...) By accommodating the exponentials of linear logic, our model is extended to the polarized fragment of the second order linear logic. Strong forms of completeness theorems are given to yield cut-eliminations for the both second order systems. As an application of our semantics, the first order conservativity of linear logic is studied over its polarized fragment of Laurent [16]. Using a counter model construction, the extension of this conservativity is shown to fail into the second order, whose solution is posed as an open problem in [16]. After this negative result, a second order conservativity theorem is proved for an eta expanded fragment of the second order linear logic, which fragment retains a focalized sequent property of [3]. (shrink)

Résumé Yanagita Kunio (1875-1962), un des plus représentatifs folkloristes japonais, considère les différents aspects d’une forêt comme un ensemble composite qui comprend les coutumes, légendes et modes de vie des habitants. Le regard de Yanagita est un regard proche, qui souhaite comprendre comment la forêt se rapporte à la vie et aux coutumes de la population qui y habite. Une attitude qui pourrait être celle d’une « compréhension de l’intérieur ». Face à la complexité de la question écologique de la (...) terre, Yanagita suggère d’adopter cette même attitude. (shrink)

Is, or has, democracy a universal value? This is the main question raised by this paper, which distinguishes between two aspects of democracy: political institution in opposition to despotism, and political belief against any kind of slavery and subordination. The role played by intellectuals in the development of contemporary democracy, and the relation of democracy to mass culture and the influence of mass media on a true democratic attitude, are studied within the frame of an overall 'mass aesthetization' which characterizes (...) contemporary societies. (shrink)

Yanagita Kunio (1875-1962), one of the most representative of Japanese folklorists, sees the different aspects of forests as a composite whole comprising customs, legends and way of life of the inhabitants. Yanagita looks at this in detail, wishing to understand how the forest is related to the life and customs of the people living there, an attitude that could be called an understanding from within. Given the complexity of the issue of the earth’s ecology, Yanagita suggests adopting the same attitude.