General frames are often used in classical modal logic. Since they are duals of modal algebras, completeness follows automatically as with algebras but the intuitiveness of Kripke frames is also retained. This paper develops basics of general frames for relevant modal logics by showing that they share many important properties with general frames for classical modal logic.

In this volume, a group of international scholars address issues relating to community well being and the role of politics, law and economics in Europe and Japan in achieving human-centered symbiotic governance. Case-studies and suggestions for reform are presented in the arenas of economy, government administration, management, university governance, health, agriculture, the environment and urban planning.

Kripke-completeness of every classical modal logic with Sahlqvist formulas is one of the basic general results on completeness of classical modal logics. This paper shows a Sahlqvist theorem for modal logic over the relevant logic Bin terms of Routley- Meyer semantics. It is shown that usual Sahlqvist theorem for classical modal logics can be obtained as a special case of our theorem.

Kripke-completeness of every classical modal logic with Sahlqvist formulas is one of the basic general results on completeness of classical modal logics. This paper shows a Sahlqvist theorem for modal logic over the relevant logic Bin terms of Routley-Meyer semantics. It is shown that usual Sahlqvist theorem for classical modal logics can be obtained as a special case of our theorem.

The?-admissibility is one of the most important problems in the realm of relevant logics. To prove the 7-admissibility, either the method of normal models or the method using metavaluations may be employed. The?-admissibility of a wide class of relevant modal logics has been discussed in Part I based on a former method, but the?-admissibility based on metavaluations has not hitherto been fully considered. Sahlqvist axioms are well known as a means of expressing generalized forms of formulas with modal operators. This (...) paper shows that? is admissible for relevant modal logics with restricted Sahlqvist axioms in terms of the method using metavaluations. (shrink)

A logic is called metacomplete if formulas that are true in a certain preferred interpretation of that logic are theorems in its metalogic. In the area of relevant logics, metacompleteness is used to prove primeness, consistency, the admissibility of γ and so on. This paper discusses metacompleteness and its applications to a wider class of modal logics based on contractionless relevant logics and their neighbours using Slaney’s metavaluational technique.

The infamous difficulty of Lacan's writing has its own, very apt synecdoche: the matheme. What makes this ‘little letter’ that structures the signifier so apposite a device is how it stymies even those sophisticated readers for whom Lacan is as close-readable as Mallarm e. The proposition offered here is that this crisis of reading is not the consequence of either some terrible mistake or egregious failing in character, but rather a typically Lacanian move by which his text stages the very (...) theory it is presumably explicating. This article suggests that by striving to read the matheme, instead of seizing upon excuses to avoid it, we can begin to understand what Lacan meant when he said that everything emerges from the structure of the signifier. (shrink)

Halldén completeness closely resembles the relevance property. To prove Halldén completeness in terms of Kripke-style semantics, the van Benthem–Humberstone theorem is often used. In relevant modal logics, the Halldén completeness of Meyer–Fuhrmann logics has been obtained using the van Benthem–Humberstone theorem. However, there remain a number of Halldén-incomplete relevant modal logics. This paper discusses the Halldén completeness of a wider class of relevant modal logics, namely, those with some Sahlqvist axioms.

The admissibility of Ackermann’s rule γ is one of the most important problems in relevant logic. While the γ-admissibility of normal modal logics based on the relevant logic R has been previously discussed, the case for weaker relevant modal logics has not yet been considered. The method of normal models has often been used to prove the γ-admissibility. This paper discusses which relevant modal logics admit γ from the viewpoint of the method of normal models.

The admissibility of Ackermann's rule γ is one of the most important problems in relevant logics. The admissibility of γ was first proved by an algebraic method. However, the development of Routley-Meyer semantics and metavaluational techniques makes it possible to prove the admissibility of γ using the method of normal models or the method using metavaluations, and the use of such methods is preferred. This paper discusses an algebraic proof of the admissibility of γ in relevant modal logics based on (...) modern algebraic models. (shrink)

Résumé : Cet article examine un dialogue important mais peu étudié entre Sartre et le philosophe du langage Brice Parain. Les deux écrivains constatent un mal du langage, issu de la Grande Guerre de 1914-18 et de ses traumatismes que les mots proférés par les survivants sont incapables de prendre en charge. Dans ce monde « inhumain », où trouver un remède? Pour Parain et Sartre le retour à n’importe quel humanisme implique une réflexion sur le langage. A travers sa (...) lecture de Parain et ce qu’il propose, Sartre repense les bases de sa propre conception du langage d’une manière qui lui permet de développer son propre humanisme et les principes de la littérature engagée. Mais la dimension religieuse de l’argumentation de Parain, écartée par Sartre, laisse-t-elle des traces sur la conception sartrienne de l’auteur?: In this paper we examine the dialogue between Sartre and one of his contemporaries, the philosopher of language, Brice Parain. First, after clarifying what is common and different in their backgrounds, we will see that Sartre and Parain share a common belief that language itself has taken ill, as a result of the First World War, an illness for which both feel a need to find a remedy. Secondly, we will show how Sartre’s reading of Parain allowed him to construct a theory of language that is consistent with his own humanism and the principles of committed literature. Finally, we will examine the influence of the religious dimension of Parain’s argument on Sartre’s theory of authorship. (shrink)

Metacompleteness is used to prove properties such as the disjunction property and the existence property in the area of relevant logics. On the other hand, the disjunction property of several basic propositional substructural logics over FL has been proved using the cut elimination theorem of sequent calculi and algebraic characterization. The present paper shows that Meyer’s metavaluational technique and Slaney’s metavaluational technique can be applied to basic predicate intuitionistic substructural logics and basic predicate involutive substructural logics, respectively. As a corollary (...) of metacompleteness, the disjunction property, the existence property, and the admissibility of certain rules in such logics can be proved. (shrink)

dai 1-kan-dai 2-satsu. Zuihitsu bu -- dai 3-satsu. Shiden, shokan bu -- dai 4-satsu. Ronben bu -- dai 5-6-satsu. Kaisetsu bu.

dai 1-satsu. Zuihitsu bu, dai I -- dai 2-satsu. Zuihitsu bu, dai II, oyobi Shibun bu -- dai 3-satsu. Kaisetsu bu, oyobi Zatsu bu -- dai 4-satsu. Kaisetsu bu, dai II, Zuihitsu bu, dai III.

This article examines whether democracy affects quality of life. Scholars have conducted surveys to investigate whether democracy is likely to lead to good quality of life. There are two contested views to the relationship: some suggest that democracy has a positive causal effect on quality of life, whereas others contend that democracy does not play such a role. Previous findings are supported by cross-national statistical analysis with aggregated survey data. However, aggregated survey data may cause ecological fallacy. Also, in order (...) to ascertain the extant research, it would be beneficial to test the hypothesis by incorporating both individual- and country-level variables. Therefore, this paper applied hierarchical modeling to investigate the regularity. Both individual-level perception of democracy and country-level political regime data were incorporated in our empirical model. Our findings suggest that individual-level satisfaction with democracy has positive causal effect on one's quality of life, whereas the country-level characteristic of the political regime has no effect. (shrink)