In this paper, we discuss semantical properties of the logic \(\textbf{GL}\) of provability. The logic \(\textbf{GL}\) is a normal modal logic which is axiomatized by the the Löb formula \( \Box (\Box p\supset p)\supset \Box p \), but it is known that \(\textbf{GL}\) can also be axiomatized by an axiom \(\Box p\supset \Box \Box p\) and an \(\omega \) -rule \((\Diamond ^{*})\) which takes countably many premises \(\phi \supset \Diamond ^{n}\top \) \((n\in \omega )\) and returns a conclusion \(\phi \supset (...) \bot \). We show that the class of transitive Kripke frames which validates \((\Diamond ^{*})\) and the class of transitive Kripke frames which strongly validates \((\Diamond ^{*})\) are equal, and that the following three classes of transitive Kripke frames, the class which validates \((\Diamond ^{*})\), the class which weakly validates \((\Diamond ^{*})\), and the class which is defined by the Löb formula, are mutually different, while all of them characterize \(\textbf{GL}\). This gives an example of a proof system _P_ and a class _C_ of Kripke frames such that _P_ is sound and complete with respect to _C_ but the soundness cannot be proved by simple induction on the height of the derivations in _P_. We also show Kripke completeness of the proof system with \((\Diamond ^{*})\) in an algebraic manner. As a corollary, we show that the class of modal algebras which is defined by equations \(\Box x\le \Box \Box x\) and \(\bigwedge _{n\in \omega }\Diamond ^{n}1=0\) is not a variety. (shrink)

Introduction: Masao Maruyama -- Analyzing the causes of the fifteen year war -- Creating modern man: the basis of national security -- Establishing political realism: guidance to national security -- Advocating unarmed neutrality -- Defending democracy: a prerequisite of national security -- Conclusion: predicting the second defeat.

Examining the interconnections between genes and culture is crucial for a more complete understanding of psychological processes. Genetic predispositions may predict different outcomes depending on one's cultural context, and culture may predict different outcomes depending on genetic predispositions - that is, genes and culture interact. Less is understood, however, about how genes and culture interact, or the psychological mechanisms through which gene–culture interactions occur. In this Element, Joni Y. Sasaki and Heewon Kwon review key findings and theories in gene–culture (...) interaction research. They then go on to discuss current issues and future directions in gene–culture research that may illuminate the path toward an explanatory framework. (shrink)

It is well established that gratitude favours prosocial tendencies in neutral and amicable social interactions. Less is clear, however, about the role of gratitude in threatening situations that br...

Zen principles and concepts are often taken as mystical statements or poetical observations left for its adepts to use his/her “intuitions” and experience in order to understand them. Zen itself is presented as a teaching beyond scriptures, mysterious, transmitted from heart to heart, and impermeable to logic and reason.

The simple substitution property provides a systematic and easy method for proving a theorem by an axiomatic way. The notion of the property was introduced in Hosoi [4] but without a definite name and he showed three examples of the axioms with the property. Later, the property was given it's name as above in Sasaki [7].Our main result here is that the necessary and sufficient condition for a logicL on a finite slice to have the simple substitution property is (...) thatL is finite. Here the necessity part is essentially new, for the sufficiency part has been proved in Hosoi and Sasaki [5]. Also the proof of sufficiency part is improved here. (shrink)

「西欧」と「近代」を相対化し、今、エスニックの次元から『日本哲学』を創始すること=「われわれの問題に発して思索する」スタイルを提唱。.

Here, we provide a detailed description of the mutual relation of formulas with finite propositional variables p1, …, pm in modal logic S4. Our description contains more information on S4 than those given in Shehtman (1978) and Moss (2007); however, Shehtman (1978) also treated Grzegorczyk logic and Moss (2007) treated many other normal modal logics. Specifically, we construct normal forms, which behave like the principal conjunctive normal forms in the classical propositional logic. The results include finite and effective methods to (...) find a normal form equivalent to a given formula A by clarifying the behavior of connectives and giving a finite method to list all exact models. (shrink)

1. Kō to shi no shisōshi -- 2. Kō to shi no shakai kagaku -- 3. Nihon ni okeru kō to shi -- 4. Ō-Bei ni okeru kō to shi -- 5. Kokka to ningen to kōkyōsei -- 6. Keizai kara mita kōshi mondai -- 7. Chūkan shūdan ga hiraku kōkyōsei -- 8. Kagaku gijutsu to kōkyōsei -- 9. chikyū kankyō to kōkyōsei -- 10. 21-seiki kōkyō tetsugaku no chihei -- 14. Rīdāshippu kara kangaeru kōkyōsei.

『不思議の国のアリス』の数学観から、古代ギリシャから現代への懐疑主義思想との格闘をたどって、数学的知識の成立根拠を探る。.

Hobbs (2010) introduced ‘clause-internal coherence’ (CIC) to describe inferences in, e.g., ‘A jogger was hit by a car,’ where the jogging is understood to have led to the car-hitting. Cohen & Kehler (2021) argue that well-known pragmatic tools cannot account for CIC, motivating an enrichment account familiar from discourse coherence research. An outstanding question is how to compositionally derive CIC from coherence relations. This paper takes strides in answering this question. It first provides experimental support for the existence of CIC (...) via offline evidence that attributive (non-)deverbal adjectives can trigger the same causal inferences within clauses that their predicative counterparts can trigger across clauses, albeit more weakly. To explain the experimental results, we use tools in Segmented Discourse Representation Theory (SDRT), which allows us to show that causal inferences can be derived in various ways, depending on whether deverbal adjectives are used attributively or predicatively. If the former, they are presupposition triggers and the coherence relations Elaboration/Continuation compete with Background; if the latter, Explanation/Result compete with Background. These different competitions -- cashed out in terms of interaction between default axioms -- correlate with the difference in the relative salience of the causal inferences. (shrink)

Volume 20, Issue 8, August 2020, Page 32-36.

9th and 10th Nov. 2013 at Kyoto University. Organizers: Takeshi Sato and Shunsuke Sugimoto.

While the artistic traditions of the various countries of East, Southeast and South Asia display distinctive aesthetic features, this volume examines the qualities of each area, and seeks commonalities that define the aesthetics of a broader Asian civilization. Contributors includes specialists in philosophy, literature, art history, religion and the comparative study of cultures. Some of them are writing from within their own cultural traditions while others approach their subjects as outside observers. The book is divided into five sections, dealing with (...) Japanese, Korean, Chinese, Indian and Southeast Asian aesthetics. Individual chapters provide in-depth investigations of specific traditions, embracing both classical as well as modern aesthetic forms. The author suggest that Japanese culture is characterized by an openness to diverse cultural influences, Korean culture by "peninsularity," Chinese culture by parallels with the West, Indian culture by "rasa", and Southeast Asian culture by dilemmas of modernization. The volume as a whole integrates these studies, clarifying essential elements of each aesthetic culture and drawing on this material to characterize an Asian civilization that transcends individual countries and cultures. (shrink)

「西欧」と「近代」を相対化し、今、エスニックの次元から『日本哲学』を創始すること=「われわれの問題に発して思索する」スタイルを提唱。.