In lieu of an abstract, here is a brief excerpt of the content:Ōmori Shōzō and Kotodama Theory: How Can We Overcome the Need for Bodily Encounters?Maki SatoIntroductionŌmori Shōzō is known for his theory of tachi-araware monism. Tachiaraware monism is his attempted counter-argument to the Cartesian dualism of the object–subject divide, or in his words, a divide between physical (butsuri, mono, science, object) and non-physical consciousness (ishiki, koto, perception, incident), perception (chikaku, 知覚) and conception (shikō, 思考). His concept of Kasane-egaki is (...) also often cited as a core concept of his theory of time.1 The main aim of this paper is to first overview the works of Ōmori since there is only a limited amount of his translated work so far.2 Consecutively, the paper focuses on Ōmori’s theory of kotodama and its related arguments with an intention to expand his concept of Kowaburi into the ethics of online encounters during the pandemic.The world in 2020 was suddenly forced to face the pandemic caused by COVID-19. What COVID-19 alerted us to is tremendous, and there are countless problems that the invisible virus has revealed. Among those are the hidden problems of contemporary society, not limited to the discrimination among races, gender, and jobs (white-collars versus essential workers), the problem of zoonosis, and the related environmental problems (climate change and intrusion into wild nature) caused by over-exploitation of nature. In developed countries, most students and those serving as intellectual workers face their daily lives being overly occupied with online lectures and meetings. COVID-19 worked to normalize remote work, which further normalized and forced our everyday life to shift to cyberspace. [End Page 101]In introducing and overviewing Ōmori’s philosophy, this paper attempts to see the current situation through Ōmori’s philosophy to draw out some ethical implications related to non-physical online encounters and how we can perceive human interactions and relationships under such conditions. Under the constraints caused by COVID-19, humans’ limitless desires to interact with others are expanding more so to the sphere of cyberspace, leading to technological development, such as VR. In short, first, the paper overviews Ōmori’s philosophy. Second, through the overview of Ōmori’s philosophy, the paper seeks adaptable philosophy of his that may work as soft binding grounding ethics for cyberspace encounters where substantial bodily encounters are void. In doing so, the paper intends to draw out weak binding ethics implied in Ōmori’s philosophy that may work to empathetically engage with others in cyberspace where embodied encounters with others are dissolved.Ōmori Shōzō and His Philosophy: A Short Introduction and OverviewIn his short essay introducing the Japanese philosophy of the 1970s, Yasuo Kobayashi coined the term “Komaba quartet” by selecting four active eminent philosophers based on the Komaba campus at the University of Tokyo.3 Among them is Ōmori Shōzō (1921–97), aligning with Hiromatsu Wataru (1933–94), Sakabe Megumi (1936–2009), and Inoue Tadashi (1926–2014). Ōmori is the oldest of the Komaba quartet and received higher education before World War II. He served at the Naval Technology Institute Mitaka Laboratory during the war with his physics degree from the Tokyo Imperial University.4 After the war, he studied philosophy at the University of Tokyo with an interest in phenomenology, leading him to study at Harvard and Stanford in the United States.During his professorship at the University of Tokyo, he inspired countless students who are now leading the philosophy academy in Japan, such as Noe Keiichi (1949–) and Noya Shigeki (1954–). In the round-table discussion titled “Explanatory Round-Table on the Charm of Ōmori’s Philosophy,” four of his former students—Iida Takashi and Tanji Nobuharu, in addition to Noe and Noya—worked on selecting his works. It is impressive to read that all four [End Page 102] of them recall how exciting and inspiring it was to take his classes.5 Iida recalls that Ōmori’s classes were exceptional since philosophy courses were all about reading, with might and main, the texts written in a language other than Japanese at the University of Tokyo. However, Ōmori, with his postwar American education, welcomed discussion with the students and was keen on questioning... (shrink)

This edited volume collects essays on the four-valued logic known as Belnap-Dunn logic, or first-degree entailment logic. It also looks at various formal systems closely related to it. These include the strong Kleene logic and the Logic of Paradox. Inside, readers will find reprints of seminal papers written by the fathers of the field: Nuel Belnap and Michael Dunn. In addition, the collection also features a well-known but previously unpublished manuscript of Dunn, an interview with Belnap, and a new essay (...) by Dunn. Besides the original, monumental papers, the book also includes research by leading scholars. They consider the extraordinary importance of Belnap-Dunn logic from several perspectives. They look at how, philosophically, it has served as a basic system of inconsistency-tolerant reasoning, as the core of underlying logics for theories based on dialetheism, and, more recently, for theories based on Buddhist philosophy. Coverage also explores its contributions to computer science, such as knowledge representation and information processing. This mix of seminal papers and insightful analysis by top scholars offers readers a comprehensive outlook on Belnap-Dunn logic and its related expansions, which have been agenda setting for the debate on philosophical logic as well as philosophy of logic. The book will also enhance further discussion on the philosophical issues related to nonclassical logics in general. (shrink)

One of the problems we face in many-valued logic is the difficulty of capturing the intuitive meaning of the connectives introduced through truth tables. At the same time, however, some logics have nice ways to capture the intended meaning of connectives easily, such as four-valued logic studied by Belnap and Dunn. Inspired by Dunn’s discovery, we first describe a mechanical procedure, in expansions of Belnap-Dunn logic, to obtain truth conditions in terms of the behavior of the Truth and the False, (...) which gives us intuitive readings of connectives, out of truth tables. Then, we revisit the notion of functional completeness, which is one of the key notions in many-valued logic, in view of Dunn’s idea. More concretely, we introduce a generalized notion of functional completeness which naturally arises in the spirit of Dunn’s idea, and prove some fundamental results corresponding to the classical results proved by Post and Słupecki. (shrink)

In this introduction, we offer an overview of main systems developed in the growing literature on connexive logic, and also point to a few topics that seem to be collecting attention of many of those interested in connexive logic. We will also make clear the context to which the papers in this special issue belong and contribute.

Dialetheism is the metaphysical claim that there are true contradictions. And based on this view, Graham Priest and his collaborators have been suggesting solutions to a number of paradoxes. Those paradoxes include Russell’s paradox in naive set theory. For the purpose of dealing with this paradox, Priest is known to have argued against the presence of classical negation in the underlying logic of naive set theory. The aim of the present paper is to challenge this view by showing that there (...) is a way to handle classical negation. (shrink)

We show that there is a simple derivation of triviality with very few assumptions involving the formula that the negated conditional entails the antecedent of the conditional.

In this introduction to the special issue “40 years of FDE”, we offer an overview of the field and put the papers included in the special issue into perspective. More specifically, we first present various semantics and proof systems for FDE, and then survey some expansions of FDE by adding various operators starting with constants. We then turn to unary and binary connectives, which are classified in a systematic manner. First-order FDE is also briefly revisited, and we conclude by listing (...) some open problems for future research. (shrink)

In this paper we discuss the extent to which conjunction and disjunction can be rightfully regarded as such, in the context of infectious logics. Infectious logics are peculiar many-valued logics whose underlying algebra has an absorbing or infectious element, which is assigned to a compound formula whenever it is assigned to one of its components. To discuss these matters, we review the philosophical motivations for infectious logics due to Bochvar, Halldén, Fitting, Ferguson and Beall, noticing that none of them discusses (...) our main question. This is why we finally turn to the analysis of the truth-conditions for conjunction and disjunction in infectious logics, employing the framework of plurivalent logics, as discussed by Priest. In doing so, we arrive at the interesting conclusion that —in the context of infectious logics— conjunction is conjunction, whereas disjunction is not disjunction. (shrink)

We outline the rather complicated history of attempts at axiomatizing Jaśkowski’s discussive logic $$\mathbf {D_2}$$ D2 and show that some clarity can be had by paying close attention to the language we work with. We then examine the problem of axiomatizing $$\mathbf {D_2}$$ D2 in languages involving discussive conjunctions. Specifically, we show that recent attempts by Ciuciura are mistaken. Finally, we present an axiomatization of $$\mathbf {D_2}$$ D2 in the language Jaśkowski suggested in his second paper on discussive logic, by (...) following a remark of da Costa and Dubikajtis. We also deal with an interesting variant of $$\mathbf {D_2}$$ D2, introduced by Ciuciura, in which negation is also taken to be discussive. (shrink)

We observe that Jc Beall’s shrieking and shrugging strategy gives us an opportunity to reflect on the Australian plan for negation in FDE, a basic subclassical logic that is used in Beall’s argument for subclassical logics. An implication of our observation is applied to a recent defense of the Australian plan for negation by Francesco Berto and Greg Restall.

This note offers a non-deterministic semantics for mbC1, introduced by Janusz Ciuciura, and establishes soundness and completeness results with respect to the Hilbert-style proof system. Moreover, based on the new semantics, we briefly discuss an unexplored variant of mbC1 which has a contra-classical flavor.

Mark Jago’s four arguments against Takashi Yagisawa’s extended modal realism are examined and shown to be ineffective. Yagisawa’s device of modal tense renders three of Jago’s arguments harmless, and the correct understanding of predications of modal properties of world stages blocks the fourth one.

Strong Nash equilibrium and coalition-proof Nash equilibrium rely on the idea that players are allowed to form coalitions and make joint deviations. Both of these notions consider cases in which any coalition can be formed. Accordingly, there may arise “conflicts of interest” that prevent a player from choosing an action that simultaneously meets the requirements of two coalitions to which he or she belongs. Here, we address this observation by studying an organizational framework such that the coalitional structure is motivated (...) by real-life examples where players cannot form some coalitions and formulated in such a way that no conflicts of interest remain. We define an organization as an ordered collection of partitions of the player set such that any partition is coarser than the partitions that precede it. For any given organization, we introduce the notion of organizational Nash equilibrium. We analyze the existence of equilibrium in a subclass of games with strategic complementarities and illustrate how the proposed notion refines the set of Nash equilibria in some examples of normal form games. (shrink)

The present note offers a proof that systems developed by Majkić are actually extensions of intuitionistic logic, and therefore not paraconsistent.

One of the oldest systems of paraconsistent logic is the set of so-called C-systems of Newton da Costa, and this has been generalized into a family of systems now known as logics of formal inconsistencies by Walter Carnielli, Marcelo Coniglio and João Marcos. The characteristic notion in these systems is the so-called consistency operator which, roughly speaking, indicates how gluts are behaving. One natural question then is to ask if we can let not only gluts but also gaps be around (...) and generalize the notion of consistency into classicality. This is already considered by Andréa Loparić and da Costa in the style of C-systems. The aim of this paper is to develop a family of systems that generalizes the system of Loparić and da Costa which may be called logics of formal classicality. (shrink)

In [1] Béziau developed the paraconsistent logic Z, which is definitionally equivalent to the modal logic S5, and gave an axiomatization of the logic Z: the system HZ. In the present paper, we prove that some axioms of HZ are not independent and then propose another axiomatization of Z. We also discuss a new perspective on the relation between S5 and classical propositional logic with the help of the new axiomatization of Z. Then we conclude the paper by making a (...) remark on the paraconsistency of HZ. (shrink)

The paper explores the logical strength of Isbell's zig‐zag theorem using the framework of reverse mathematics. Working in, we show that is equivalent to Isbell's zig‐zag theorem for countable monoids: If B is a monoid extension of A, then is dominated by A if and only if b has a zig‐zag over A. Our proof of Isbell's zig‐zag theorem avoids use of strong comprehension axioms common in traditional proofs. We also analyze the strength of theorems concerning binary relations.

Change of logic is typically taken as requiring that the meanings of the connectives change too. As a result, it has been argued that legitimate rivalry between logics is under threat. This is, in a nutshell, the meaning‐variance argument, traditionally attributed to Quine. In this paper, we present a semantic framework that allows us to resist the meaning‐variance claim for an important class of systems: classical logic, the logic of paradox and strong Kleene logic. The major feature of the semantics (...) is that the connectives have the same meanings in these systems, so that the meaning‐variance argument is straightforwardly blocked. We discuss the effects of this semantics for two uses of the argument of meaning variance, and also consider its impact on related issues. (shrink)

It seems to be a challenging task for those non-Western scholars who are deeply immersed in European intellectual resources to theorise multiple forms of modernity and deparochialise political theory. What difficulty awaits us in non-Western contexts, when we attempt to throw off these shackles and to open up alternative views of modernity? To address this question, this article attempts to critically examine Maruyama Masao (丸山眞男, 1914–1996), an influential scholar on the history of Japanese political thought, with respect to his view (...) of Japanese modernity, thereby exploring what obstacles await him in pursuing the multiplicity view of modernity and how he actually or potentially overcomes them. In doing so, I develop two arguments. First, Maruyama's move towards multiple modernities remains incomplete because he fails to throw off the shackles of universal history. Second, however, we can identify an alternative way in his own thought that, though not taken by himself, potentially goes beyond universal history towards multiple modernities. (shrink)

Metabolic dysfunction is a ubiquitous underlying feature of many neurological conditions including acute traumatic brain injuries and chronic neurodegenerative conditions. A central problem in neurological patients, in particular those with traumatic brain injuries, is an impairment in the utilization of glucose, which is the predominant metabolic substrate in a normally functioning brain. In such patients, alternative substrates including ketone bodies and lactate become important metabolic candidates for maintaining brain function. While the potential neuroprotective benefits of ketosis have been recognized for (...) up to almost a century, the majority of work has focused on the use of ketogenic diets to induce such a state, which is inappropriate in cases of acute disease due to the prolonged periods of time (i.e., weeks to months) required for the effects of a ketogenic diet to be seen. The following review seeks to explore the neuroprotective effects of exogenous ketone and lactate preparations, which have more recently become commercially available and are able to induce a deep ketogenic response in a fraction of the time. The rapid response of exogenous preparations makes their use as a therapeutic adjunct more feasible from a clinical perspective in both acute and chronic neurological conditions. Potentially, their ability to globally moderate long-term, occult brain dysfunction may also be relevant in reducing lifetime risks of certain neurodegenerative conditions. In particular, this review explores the association between traumatic brain injury and contusion-related dementia, assessing metabolic parallels and highlighting the potential role of exogenous ketone and lactate therapies. (shrink)

In this paper, we introduce a new logic, which we call AM3. It is a connexive logic that has several interesting properties, among them being strongly connexive and validating the Converse Boethius Thesis. These two properties are rather characteristic of the difference between, on the one hand, Angell and McCall’s CC1 and, on the other, Wansing’s C. We will show that in other aspects, as well, AM3 combines what are, arguably, the strengths of both CC1 and C. It also allows (...) us an interesting look at how connexivity and the intuitionistic understanding of negation relate to each other. However, some problems remain, and we end by pointing to a large family of weaker logics that AM3 invites us to further explore. (shrink)

In this paper, we generalize the ordered-pair semantics advanced by Matthew Clemens for the Logic of Paradox to n-tuple semantics, for each fixed n. Moreover, we show that the resulting semantics can accommodate not only LP, but also classical logic as well as strong Kleene logic depending on the set of designated values that one chooses. Building on the technical observations, we offer intuitively plausible readings for the semantics, and we also discuss some weaknesses of the original intuitive reading advanced (...) by Clemens. (shrink)

Modal realists should fashion their theory by postulating and taking seriously the modal equivalent of tense, or modal tense. This will give them a uniform way to respond to five different objections, one each by Skyrms, Quine, and Peacocke, and two by van Inwagen, and suggest a non-Lewisian path to modal realism.

Call a sentential context semantically transparent if and only if all synonymous expressions are substitutable for one another in it salva veritate. Nathan Salmon has boldly advanced a refreshingly crisp semantic theory according to which belief contexts are semantically transparent. If he is right, belief contexts are much better behaved than widely suspected. Impressive as it is, this author does not believe that Salmon’s theory is completely satisfactory. This article tries to show that Salmon’s theory, in conjunction with a number (...) of auxiliary but important claims he makes to buttress the theory, seems to lead to failure of semantic transparency of belief contexts. (shrink)