We develop intuitionistic public announcement logic over intuitionistic \({\textbf{K}}\), \({{\textbf{K}}}{{\textbf{T}}}\), \({{\textbf{K}}}{{\textbf{4}}}\), and \({{\textbf{S}}}{{\textbf{4}}}\) with distributed knowledge. We reveal that a recursion axiom for the distributed knowledge is _not_ valid for a frame class discussed in [ 12 ] but valid for the restricted frame class introduced in [ 20, 26 ]. The semantic completeness of the static logics for this restricted frame class is established via the concept of pseudo-model.

Abstract“The wrongness of Albert's action causally explains why Jane judged that his action was wrong”. This type of causal moral explanation has been extensively discussed in the recent metaethical literature. This paper motivates the following claims about this type of moral explanation. First, a typical defence of this type of moral explanation suggested in the literature does not work because it predicts inaccurate modal information. Second, focusing on different aspects of the ways moral judgements are generated provides better chances for (...) the defender of this type of moral explanation. Third, the strategy mentioned in the previous point leads us to the following alternative evaluative explanation: The property of being a harmful action explains a recognisable pattern of moral judgements observed in the relevant empirical studies. One crucial implication the paper alludes to is a localist approach to the debates concerning moral realism: We should consider each moral property's ontological genuineness separately, referring to specific empirical findings that are particularly relevant to the target moral property in question. Such a localist approach can provide solid resources for realists to respond to various anti‐realist challenges, such as an influential evolutionary debunking argument. (shrink)

The most famous chapter of Montesquieu’s _ The Spirit of the Laws _ (1748), Book XI, Chapter 6, 'On the constitution of England,' was an important i nspiration to the creators of modern constitutions, to which they often referred. However, as a result of scholarly focus on the political institutions discussed in this book, Montesquieu’s economic analysis has been woefully neglected. In order to correct this scholarly imbalance, this paper will elucidate the essential significance of Montesquieu’s comparison between the constitution (...) of modern England and that of ancient Rome in Book XI of _ The Spirit of the Laws _ ; inextricable relationship between military and political institutions on the one hand, and the transfer and distribution of wealth on the other. To argue this point, this paper will focus on Montesquieu’s other writings in the same year and shortly after the publication of _ The Spirit of the Laws _ : the revised edition in 1748 of _ The Considerations on the Causes of the Greatness of t... _. (shrink)

One influential positive argument for moral realism is the Explanatory Indispensability Argument. A crucial premise of this argument is the explanatory relevance of moral properties. On this premise, moral properties, such as wrongness, rightness, courage, and cowardice, are explanatorily indispensable to some empirical phenomena. Although there has been a lively debate on this premise, one crucial challenge to this thesis, what I call the Scientific Standard Challenge, has not been properly discussed. After explaining this challenge and a related concern, I (...) argue that in response to this central challenge, the proponents of the argument should take what I call the localist turn to defend the explanatory indispensability of moral properties. The localist turn encourages the defenders of moral explanations to be more sensitive to the nature of each moral explanation. For instance, some moral explanations are explanations of social matters, so the standards they need to meet are provided by relevant branches of the social sciences. On the other hand, some other moral explanations are about our psychology, so the theoretical standards those explanations need to meet should come from psychology. I illustrate how this localist project can be conducted in the case of the moral explanation that appeals to injustice. I argue that the field of comparative politics provides the theoretical standards moral explanations of institutional change need to meet. I shall then illustrate how a sophisticated moral explanation can meet those theoretical standards and how this moral explanation can be strong evidence of injustice’s explanatory indispensability. (shrink)

In this paper, using Mark Schroeder’s (2008a) expressivist semantic framework for normative language as a case study, I will identify difficulties that even an expressivist semantic theory capable of addressing the Frege-Geach problem will encounter in handling the logical possibility of moral dilemmas. To this end, I will draw on a classical puzzle formulated by McConnell (1978) that the logical possibility of moral dilemmas conflicts with some of the prima facie plausible axioms of the standard deontic logic, which include obligation (...) implies permission. On the tentative assumption that proponents of ethical expressivism should be generally committed to securing the logical possibility of moral dilemmas in their semantic theories, I will explore whether and how expressivists can successfully invalidate obligation implies permission within the framework developed by Schroeder. The case study eventually reveals that this can indeed be a hard task for expressivists. Generalizing from the case study, I will suggest that the source of the difficulty ultimately lies in the mentalist assumption of the expressivist semantic project that the logico-semantic relations exhibited by normative sentences should be modeled in terms of the psychological attitudes that speakers express by uttering them. My final goal will be to show that the difficulty expressivists face in dealing with the logical possibility of moral dilemmas is a reflection of the more general problem that their commitment to the mentalist assumption prevents them from flexibly adopting or dropping axioms in their semantic theories to get the right technical results. (shrink)

La psicología es una rama científica relativamente nueva y a la que todavía le faltan bases metodológicas consistentes para fundamentar sus investigaciones. Dada su inmadurez, tal ciencia tiene dificultades para delimitar su estatuto ontológico, lo que genera diversos equívocos epistemológicos y metodológicos. Así, se impone una cuestión fundamental para la aclaración del objeto de la psicología: el problema mente-cuerpo. En ese sentido, el objetivo de este artículo, basado en la fenomenología de Edith Stein, es analizar algunos trabajos de la filósofa, (...) a saber: “Causalidad Psíquica” e “Introducción a la Filosofía”. De esa manera, a través de las investigaciones de Stein acerca de la psique y del cuerpo, se concluye que es posible concebir la cuestión psique/mente-cuerpo como una unidad-dual que se instancia en el Leib.Psychology is a relatively new scientific branch that still lacks consistent methodological foundations to support their investigations. Given their immaturity, that science still faces difficulties to delimit its ontological status, which raises various epistemological and methodological misconceptions. Thus, there is a fundamental question for an elucidation of the object of Psychology: the mindbody problem. The proposal of this article, in this sense, is to discuss the mind-body problem in the light of the Phenomenology of Edith Stein, seeking from there lay the fundation of Psychology. For this, some works of the philosopher was analysed, namely: “Psychic Causality” and “Introduction to Philosophy”. In this way, through the investigations of Stein about the psyche and body, concluded that it is possible to conceive the psyche/mind-body issue while a dual-unit that instantiates in the Leib. (shrink)

朱子学は現代に生きる私たちにとって価値なきものなのだろうか? 儒教思想と近代的権利概念の親和性に着目、再検証を試みる。.

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

The logic CD is an intermediate logic which exactly corresponds to the Kripke models with constant domains. It is known that the logic CD has a Gentzen-type formulation called LD and rules are replaced by the corresponding intuitionistic rules) and that the cut-elimination theorem does not hold for LD. In this paper we present a modification of LD and prove the cut-elimination theorem for it. Moreover we prove a “weak” version of cut-elimination theorem for LD, saying that all “cuts” except (...) some special forms can be eliminated from a proof in LD. From these cut-elimination theorems we obtain some corollaries on syntactical properties of CD: fragments collapsing into intuitionistic logic. Harrop disjunction and existence properties, and a fact on the number of logical symbols in the axiom of CD. (shrink)

The semilattice relevant logics ∪R, ∪T, ∪RW, and ∪TW are defined by semilattice models in which conjunction and disjunction are interpreted in a natural way. For each of them, there is a cut-free labelled sequent calculus with plural succedents . We prove that these systems are equivalent, with respect to provable formulas, to the restricted systems with single succedents . Moreover, using this equivalence, we give a new Hilbert-style axiomatizations for ∪R and ∪T and prove equivalence between two semantics for (...) the contractionless logics ∪RW and ∪TW. (shrink)

Há que se fazer jus à riqueza prismática da figura e da atuação desse intelectual, prestando atenção para a tridimensionalidade que lhes é conatural, condição para que elas sejam conhecidas e compreendidas em profundidade, em toda a extensão que se põe entre a discussão e a reflexão filosóficas, de um lado, e as realidades, crises, paixões e angústias da educação, de outro.

It is often asserted that even our own past is a foreign country: the ideas of past thinkers are, in some ways, alien to us today. For the European historian of non- European philosophy, not only is the past held to be a different country, but it is also the past ofadifferentcountry. This is both convenient and problematic all at once. The historian of non- European philosophy faces a double separation from his/her subject matter; she is both a foreigner and (...) an alien. In this paper, I approach questions of how this historian should orientate herself towards her subject, and why she should care about it at all. (shrink)

We consider several variants of Keisler’s isomorphism theorem. We separate these variants by showing implications between them and cardinal invariants hypotheses. We characterize saturation hypotheses that are stronger than Keisler’s theorem with respect to models of size $\aleph _1$ and $\aleph _0$ by $\mathrm {CH}$ and $\operatorname {cov}(\mathsf {meager}) = \mathfrak {c} \land 2^{<\mathfrak {c}} = \mathfrak {c}$ respectively. We prove that Keisler’s theorem for models of size $\aleph _1$ and $\aleph _0$ implies $\mathfrak {b} = \aleph _1$ and $\operatorname (...) {cov}(\mathsf {null}) \le \mathfrak {d}$ respectively. As a consequence, Keisler’s theorem for models of size $\aleph _0$ fails in the random model. We also show that for Keisler’s theorem for models of size $\aleph _1$ to hold it is not necessary that $\operatorname {cov}(\mathsf {meager})$ equals $\mathfrak {c}$. (shrink)

Editorial do periódico Filosofia e Educação.

Classical Marxism is apparently a past topic. But, Marxist methodology is still useful to treat several contemporary problems of science and technology studies (STS). Marx had criticized the capitalist economy of his time and classical economic theory by analyzing the commodity production of the industrial revolution. But, he accepted western science and industrial technology as given factors in the capitalist economy. Though Classical Marxism attributed knowledge to the ideological superstructure of social relationships, it did not treat knowledge production as an (...) economic and social process. Now knowledge, especially scientific and technological knowledge, is an essential feature of the contemporary economy of the developed countries. Now the, critical study of production and distribution of knowledge, the object of STS, is an essential subject of our time. It includes the problems of ever expanding new working class: technical specialists, professionals, software workers, and health-related professionals. They, once independent proud professionals, are now in unstable working conditions. Improved Marxist methodology might make possible such a critical study. (shrink)

We establish the “contraction-elimination theorem” which means that if a sequent Γ A is provable in the implicational fragment of the Gentzen's sequent calculus LK and if it satisfies a certain condition on the number of the occurrences of propositional variables, then it is provable without the right contraction rule. By this theorem, we get the following.1. If an implicational formula A is a theorem of classical logic and is not a theorem of intuitionistic logic, then there is a propositional (...) variable which occurs at least once positively and at least twice negatively in A → a) → a).2. If an implicational formula A is a theorem of intuitionistic logic and is not a theorem of BCK-logic, then there is a propositional variable which occurs at least twice positively and at least once negatively in A → a → b).We prove the contraction-elimination theorem by a fully syntactical method, which has some analogy with Gentzen's cut-elimination. (shrink)

Proof-theoretical notions and techniques, developed on the basis of sentential/symbolic representations of formal proofs, are applied to Euler diagrams. A translation of an Euler diagrammatic system into a natural deduction system is given, and the soundness and faithfulness of the translation are proved. Some consequences of the translation are discussed in view of the notion of free ride, which is mainly discussed in the literature of cognitive science as an account of inferential efficacy of diagrams. The translation enables us to (...) formalize and analyze free ride in terms of proof theory. The notion of normal form of Euler diagrammatic proofs is investigated, and a normalization theorem is proved. Some consequences of the theorem are further discussed: in particular, an analysis of the structure of normal diagrammatic proofs; a diagrammatic counterpart of the usual subformula property; and a characterization of diagrammatic proofs compared with natural deduction proofs. (shrink)

Let ℸ be the set of Gödel numbers Gn of function symbols f such that PRA ⊢ and let γ be the function such that equation imageWe prove: The r. e. set ℸ is m-complete; the function γ is not primitive recursive in any class of functions {f1, f2, ⃛} so long as each fi has a recursive upper bound. This implies that γ is not primitive recursive in ℸ although it is recursive in ℸ.

This paper demonstrates an empirical analysis of the visual order of membership categories in a way consistent with both an early ethnomethodological research interest and recent arguments in membership categorization analysis. Early ethnomethodological studies have highlighted that we can infer and understand the membership categories of observed people about whom we have no information in advance, even without talking to them. Recent membership categorization analysts have argued the methodological importance of using video data. Given this, fictional films serve as video (...) data to advance the investigation into the visual order of membership categories since audiences do not know the fictional characters’ information in advance and cannot talk to them. We analyze how potential audiences understand fictional characters’ membership categories and how production crew members organize the visual and conversational order of membership categories. The analysis illustrates that our practical inferences of fictional characters’ membership categories are based on conversations among characters and visually available information. Such visually available information includes environments and lighting, as well as characters’ clothes, body orientations, facial expressions, and physical distance from each other. In other words, production crew members of fictional films design the visual and conversational order for remote audiences by arranging visually available information and fictional characters’ conversations. The findings provide insights into the “possible correctness” and “defeasibility” of membership categorization practices. Particularly regarding fictional characters’ membership categories, production crew members can employ the “possible correctness” and “defeasibility” of categorization practices to mislead audiences. (shrink)

To investigate the relationship between logical reasoning and majority voting, we introduce logic with groups Lg in the style of Gentzen’s sequent calculus, where every sequent is indexed by a group of individuals. We also introduce the set-theoretical semantics of Lg, where every formula is interpreted as a certain closed set of groups whose members accept that formula. We present the cut-elimination theorem, and the soundness and semantic completeness theorems of Lg. Then, introducing an inference rule representing majority voting to (...) Lg, we introduce logic with majority voting Lv. Formalizing the discursive paradox in judgment aggregation theory, we show that Lv is inconsistent. Based on the premise-based and conclusion-based approaches to avoid the paradox, we introduce logic with majority voting for axioms Lva, where majority voting is applied only to non-logical axioms as premises to construct a proof in Lg, and logic with majority voting for conclusions Lvc, where majority voting is applied only to the conclusion of a proof in Lg. We show that both Lva and Lvc are syntactically complete and consistent, and we construct collective judgments based on the provability in Lva and Lvc, respectively. Then, we discuss how these systems avoid the discursive paradox. (shrink)

We introduce several restricted versions of the structural rules in the implicational fragment of Gentzen's sequent calculus LJ. For example, we permit the applications of a structural rule only if its principal formula is an implication. We investigate cut-eliminability and theorem-equivalence among various combinations of them. The results include new cut-elimination theorems for the implicational fragments of the following logics: relevant logic E, strict implication S4, and their neighbors (e.g., E-W and S4-W); BCI-logic, BCK-logic, relevant logic R, and the intuitionistic (...) logic. (shrink)