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)

Actions shape what we see and memorize. A previous study suggested the interaction between motor and memory systems by showing that memory encoding for task-irrelevant items was enhanced when presented with motor-response cues. However, in the studies on the attentional boost effect, it has been revealed that detection of the target stimulus can lead to memory enhancement without requiring overt action. Thus, the direct link between the action and memory remains unclear. To exclude the effect of the target detection process (...) as a potential confounder, this study assessed the benefit of action for memory by separating items from the response cue in time. In our pre-registered online experiment, participants responded to visual Go cues by pressing a key or counting while ignoring No-go cues. In each trial, two task-irrelevant images were sequentially presented after the cue disappearance. After encoding the Go/No-go tasks, participants performed a surprise recognition memory test for those images. Importantly, we quantified the impact of overt execution of the action by comparing memories with and without motor response and the impact of covert motor processes by comparing memory between the motor and cognitive tasks. The results showed no memory differences between Go and No-go trials in the motor task. This means that the execution itself was not critical for memory enhancement. However, the memory performance in the motor No-go trials was higher than that in the cognitive No-go trials, only for the items presented away from the cues in time. Therefore, engaging the motor task itself could increase incidental memory for the task-irrelevant items compared to a passive viewing situation. We added empirical evidence on the online interaction between action and memory encoding. These memory advantages could be especially brought in action preparation and planning. We believe this fact may expand our present understanding of everyday memory, such as active learning. (shrink)

Some spatio-temporal structures are easier to transfer implicitly in sequential learning. In this study, we investigated whether the consistent reversal of triads of learned components would support the implicit transfer of their temporal structure in visuomotor sequence learning. A triad comprised three sequential button presses ([1][2][3]) and seven consecutive triads comprised a sequence. Participants learned sequences by trial and error, until they could complete it 20 times without error. Then, they learned another sequence, in which each triad was reversed ([3][2][1]), (...) partially reversed ([2][1][3]), or switched so as not to overlap with the other conditions ([2][3][1] or [3][1][2]). Even when the participants did not notice the alternation rule, the consistent reversal of the temporal structure of each triad led to better implicit transfer; this was confirmed in a subsequent experiment. These results suggest that the implicit transfer of the temporal structure of a learned sequence can be influenced by both the structure and consistency of the change. (shrink)

In this note we study some local properties ofω-stable groups of finite Morley rank.

We prove that every countable non-standard model of WKL0 has a proper initial part isomorphic to itself. This theorem enables us to carry out non-standard arguments over WKL0.

私たちは、暴力的な存在なのか?人間にとって、暴力とは何か?その不可避性と、回避/克服の可能性をともに見すえつつ思考をつむぐ、「暴力の哲学/倫理学」の試み。.

My life as a quantum physicist / M. Nakahara -- A review on operator quantum error correction - Dedicated to Professor Mikio Nakahara on the occasion of his 60th birthday / C.-K. Li, Y.-T. Poon and N.-S. Sze -- Implementing measurement operators in linear optical and solid-state qubits / Y. Ota, S. Ashhab and F. Nori -- Fast and accurate simulation of quantum computing by multi-precision MPS: Recent development / A. Saitoh -- Entanglement properties of a quantum lattice-gas model on (...) square and triangular ladders / S. Tanaka, R. Tamura and H. Katsura -- On signal amplification from weak-value amplification / Y. Shikano -- Topological protection of quantum information / K. Fujii -- Quantum annealing with antiferromagnetic fluctuations for mean-field models / Y. Seki and H. Nishimori -- A method to change phase transition nature - Toward annealing methods / R. Tamura and S. Tanaka -- Computational analysis of the first stage of the photosynthetic system, the light-dependent reaction, by quantum chemical simulation method / M. Tada-Umezaki -- Two-qubit gate operation on selected nearest neighboring qubits in a neutral atom quantum computer / E. Hosseini Lapasar... [et al.] -- A simple operator quantum error correction scheme avoiding fully correlated errors / C. Bagnasco, Y. Kondo and M. Nakahara -- Black hole predictability, classical and quantum / A. Ishibashi -- Classical field simulation of finite-temperature Bose gases / T. Sato -- Atomic quantum simulations of lattice gauge theory: Effect of gauge symmetry breaking / K. Kasamatsu, I. Ichinose and T. Matsui -- Recursive construction of noiseless subsystem for qudits / U. Gungordu... [et al.] -- Composite quantum gates for precise quantum control / M. Bando... [et al.] -- New formulation of statistical mechanics using thermal pure quantum states / S. Sugiura and A. Shimizu -- Thermodynamics in unitary time evolution / T. N. Ikeda -- Second law of thermodynamics with QC-mutual information / T. Sagawa. (shrink)

Possible worlds have revolutionised philosophy and some related fields. But, in recent years, tools based on possible worlds have been found to be limited in many respects. Impossible worlds have been introduced to overcome these limitations. This Element aims to raise and answer the neglected question of what is characteristically impossible about impossible worlds. The Element sheds new light on the nature of impossible worlds. It also aims to analyse the main features and utility of impossible worlds and examine how (...) impossible worlds can capture distinctions which are unavailable if we limit ourselves to possible world-based tools. (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)

Although numerous disciplines recognize multiple ways of conceptualizing time, Stefan Tanaka argues that scholars still overwhelmingly operate on chronological and linear Newtonian or classical time that emerged during the Enlightenment. This short, approachable book implores the humanities and humanistic social sciences to actively embrace the richness of different times that are evident in non-modern societies and have become common in several scientific fields throughout the twentieth century. Tanaka first offers a history of chronology by showing how the social (...) structures built on clocks and calendars gained material expression. Tanaka then proposes that we can move away from this chronology by considering how contemporary scientific understandings of time might be adapted to reconceive the present and pasts. This opens up a conversation that allows for the possibility of other ways to know about and re-present pasts. A multiplicity of times will help us broaden the historical horizon by embracing the heterogeneity of our lives and world via rethinking the complex interaction between stability, repetition, and change. This history without chronology also allows for incorporating the affordances of digital media. (shrink)

世界に溢れ続けるイメージは喫緊の思想的・文化的テーマである。像=イメージを行為主体と捉えるブレーデカンプによる像行為論の可能性を検討しつつ、独自の「像即是空、空即是像」たる「かげ」としての論理へと至る 最新論集。.

三島由紀夫、江藤淳、西部邁...戦後日本の保守論客たちの自死は何を意味するのか?「近代」思想が破壊しようとする、伝統文化と秩序。その背景にあるユダヤ思想の正体、そしてマルクス主義との関連を明らかにする 。日本人の劣化・自滅は防げるか?

This book enables readers to understand contemporary Japanese society and culture. Since it is written by experts, it allows readers to start with any chapters they are interested in. It also provides a unique way to introduce Japanese society and culture to those who have never visited or studied Japanese society by reading articles from various authors on topics such as gender, family, economy, natural disasters and politics and laws. It provides scholars, academics, graduate students and the general educated audience (...) all the information required to understand contemporary Japanese society and culture fully and see the diverse perspectives available. (shrink)

敗戦後の歴史的現実において「観念論から唯物論への過渡」を哲学した珠玉の論集。卒論「親鸞に於ける自然法爾の論理」から「民衆に捧げる知識」への若き梅本克己の苦悩と情熱。.

In the natural deduction system for classical propositional logic given by G. Gentzen, there are some inference rules with assumptions discharged by the rule. D. Prawitz calls such inference rules improper, and others proper. Improper inference rules are more complicated and are often harder to understand than the proper ones. In the present paper, we distinguish between proper and improper derivations by using sequent systems. Specifically, we introduce a sequent system \(\vdash_{\bf Sc}\) for classical propositional logic with only structural rules, (...) and prove that \(\vdash_{\bf Sc}\) does not allow improper derivations in general. For instance, the sequent \(\Rightarrow p \to q\) cannot be derived from the sequent \(p \Rightarrow q\) in \(\vdash_{\bf Sc}\). In order to prove the failure of improper derivations, we modify the usual notion of truth valuation, and using the modified valuation, we prove the completeness of \(\vdash_{\bf Sc}\). We also consider whether an improper derivation can be described generally by using \(\vdash_{\bf Sc}\). (shrink)

In this paper, we argue that a distinction ought to be drawn between two ways in which a given world might be logically impossible. First, a world w might be impossible because the laws that hold at w are different from those that hold at some other world (say the actual world). Second, a world w might be impossible because the laws of logic that hold in some world (say the actual world) are violated at w. We develop a novel (...) way of modelling logical possibility that makes room for both kinds of logical impossibility. Doing so has interesting implications for the relationship between logical possibility and other kinds of possibility (for example, metaphysical possibility) and implications for the necessity or contingency of the laws of logic. (shrink)

Kripke completeness of some infinitary predicate modal logics is presented. More precisely, we prove that if a normal modal logic above is -persistent and universal, the infinitary and predicate extension of with BF and BF is Kripke complete, where BF and BF denote the formulas pi pi and x x, respectively. The results include the completeness of extensions of standard modal logics such as , and its extensions by the schemata T, B, 4, 5, D, and their combinations. The proof (...) is obtained by extending the correspondence between the representation of modal algebras and the completeness of propositional modal logic to infinite. (shrink)

Japan created in 1992 to provide a legal framework for international peacekeeping activities, following its financial involvement in the Gulf War of 1991. This paper argues that the PKO Law imposed certain restrictions which complicated the missions of the Japanese Self Defence Forces (SDF) and civilian personnel in operational fields. Post 11 September (2001), the Japanese government created a new legal framework for counter-terrorism and dispatched its SDF personnel to the United Nations Transitional Administration in East Timor (UNTAET) and the (...) United Nations Mission of Support in East Timor (UNMISET). (shrink)

This article examines the crisis management capabilities of Japan's Self Defense Forces (SDF) in the areas of United Nations (UN) peacekeeping, counter-terrorism, and disaster relief. The three types of overseas operations were all initiated by Japan as a response to international crises. While SDF crisis management capabilities for UN peacekeeping operations have steadily evolved, room for improvement remains. For example, Japan's commitment to logistic and rapid deployment missions could be strengthened. Regarding the second type of operations, counter-terrorism, Japan's crisis management (...) capabilities were enhanced by the passing of a novel Anti-Terrorism Law in October 2001 after the 9/11 attacks. The law legalized a SDF oil-fuelling mission in the Indian Ocean in support of the US-led war on terror in Afghanistan. Compared to the first two types of missions, SDF crisis management capabilities in disaster relief are the least controversial. This is due to the nature of the SDF as politically neutral and their humanitarian and non-military activities. This article highlights and compares the strengths and weaknesses of Japan's capabilities in the three types of SDF overseas operations. It demonstrates that a number of problem areas remain, including the need for legal amendment as well as the enhancement of public support and political consensus. The Japanese government and the SDF should face up to these challenges so that Japan can become better positioned to react quickly to crisis situations that require the dispatch of the SDF. (shrink)