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Koji Tanaka [41]Kazuyuki Tanaka [21]K. Tanaka [8]Kenneth K. Tanaka [6]
Kanji Tanaka [4]Keiko Tanaka [3]Katsushi Tanaka [3]Kashihi Tanaka [2]

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  1. Two Kinds of Logical Impossibility.Alexander Sandgren & Koji Tanaka - 2020 - Noûs 54 (4):795-806.
    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 (...)
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  2. Paraconsistent Dynamics.Patrick Girard & Koji Tanaka - 2016 - Synthese 193 (1):1-14.
    It has been an open question whether or not we can define a belief revision operation that is distinct from simple belief expansion using paraconsistent logic. In this paper, we investigate the possibility of meeting the challenge of defining a belief revision operation using the resources made available by the study of dynamic epistemic logic in the presence of paraconsistent logic. We will show that it is possible to define dynamic operations of belief revision in a paraconsistent setting.
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  3. Buddhist Logic From a Global Perspective.Koji Tanaka - 2021 - In Inkeri Koskinen, David Ludwig, Zinhle Mncube, Luana Poliseli & Luis Reyes-Galindo (eds.), Global Epistemologies and Philosophies of Science. London: Routledge. pp. 274-285.
    Buddhist philosophers have developed a rich tradition of logic. Buddhist material on logic that forms the Buddhist tradition of logic, however, is hardly discussed or even known. This article presents some of that material in a manner that is accessible to contemporary logicians and philosophers of logic and sets agendas for global philosophy of logic.
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  4. Logically Impossible Worlds.Koji Tanaka - 2018 - Australasian Journal of Logic 15 (2):489.
    What does it mean for the laws of logic to fail? My task in this paper is to answer this question. I use the resources that Routley/Sylvan developed with his collaborators for the semantics of relevant logics to explain a world where the laws of logic fail. I claim that the non-normal worlds that Routley/Sylvan introduced are exactly such worlds. To disambiguate different kinds of impossible worlds, I call such worlds logically impossible worlds. At a logically impossible world, the laws (...)
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  5. Paraconsistency: Logic and Applications.Francesco Berto, Edwin Mares, Koji Tanaka & Francesco Paoli (eds.) - 2013 - Dordrecht, Netherland: Springer.
    A logic is called 'paraconsistent' if it rejects the rule called 'ex contradictione quodlibet', according to which any conclusion follows from inconsistent premises. While logicians have proposed many technically developed paraconsistent logical systems and contemporary philosophers like Graham Priest have advanced the view that some contradictions can be true, and advocated a paraconsistent logic to deal with them, until recent times these systems have been little understood by philosophers. This book presents a comprehensive overview on paraconsistent logical systems to change (...)
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  6. Priest’s Anti-Exceptionalism, Candrakīrti and Paraconsistency.Koji Tanaka - 2019 - In Can Başkent & Thomas Macaulay Ferguson (eds.), Graham Priest on Dialetheism and Paraconsistency. Dordrecht: Springer Verlag. pp. 127-138.
    Priest holds anti-exceptionalism about logic. That is, he holds that logic, as a theory, does not have any exceptional status in relation to the theories of empirical sciences. Crucial to Priest’s anti-exceptionalism is the existence of ‘data’ that can force the revision of logical theory. He claims that classical logic is inadequate to the available data and, thus, needs to be revised. But what kind of data can overturn classical logic? Priest claims that the data is our intuitions about the (...)
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  7. Buddhist Philosophy of Logic.Koji Tanaka - 2013 - In Steven Michael Emmanuel (ed.), Blackwell Companion to Buddhist Philosophy. Chichester: Wiley-Blackwell. pp. 320-330.
    Logic in Buddhist Philosophy concerns the systematic study of anumāna (often translated as inference) as developed by Dignāga (480-540 c.e.) and Dharmakīti (600-660 c.e.). Buddhist logicians think of inference as an instrument of knowledge (pramāṇa) and, thus, logic is considered to constitute part of epistemology in the Buddhist tradition. According to the prevalent 20th and early 21st century ‘Western’ conception of logic, however, logical study is the formal study of arguments. If we understand the nature of logic to be formal, (...)
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  8. Against Classical Paraconsistent Metatheory.Koji Tanaka & Patrick Girard - forthcoming - Analysis.
    There was a time when 'logic' just meant classical logic. The climate is slowly changing and non-classical logic cannot be dismissed off-hand. However, a metatheory used to study the properties of non-classical logic is often classical. In this paper, we will argue that this practice of relying on classical metatheories is problematic. In particular, we will show that it is a bad practice because the metatheory that is used to study a non-classical logic often rules out the very logic it (...)
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  9. Making Sense of Paraconsistent Logic: The Nature of Logic, Classical Logic and Paraconsistent Logic.Koji Tanaka - 2013 - In Francesco Berto, Edwin Mares, Koji Tanaka & Francesco Paoli (eds.), Paraconsistency: Logic and Applications. Springer. pp. 15--25.
    Max Cresswell and Hilary Putnam seem to hold the view, often shared by classical logicians, that paraconsistent logic has not been made sense of, despite its well-developed mathematics. In this paper, I examine the nature of logic in order to understand what it means to make sense of logic. I then show that, just as one can make sense of non-normal modal logics (as Cresswell demonstrates), we can make `sense' of paraconsistent logic. Finally, I turn the tables on classical logicians (...)
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  10. The AGM Theory and Inconsistent Belief Change.Koji Tanaka - 2005 - Logique Et Analyse 48 (189-192):113-150.
    The problem of how to accommodate inconsistencies has attracted quite a number of researchers, in particular, in the area of database theory. The problem is also of concern in the study of belief change. For inconsistent beliefs are ubiquitous. However, comparatively little work has been devoted to discussing the problem in the literature of belief change. In this paper, I examine how adequate the AGM theory is as a logical framework for belief change involving inconsistencies. The technique is to apply (...)
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  11.  28
    Buddhist Shipping Containers.Koji Tanaka - forthcoming - In Christian Coseru (ed.), Reasons and Empty Persons. Springer.
    In his book review of Graham Priest's The Fifth Corner of Four, Mark Siderits, while criticising Priest's philology, suggests that Priest's work is 'of considerable interest' for two reasons. First, 'when two independent traditions use similar methods to work on similar issues, it is always possible that one may have hit on approaches that the other missed'. Second, 'the decentering that can be induced by looking at another tradition may trigger fresh insights, even if those insights are not ones that (...)
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  12. Buddhist Logic.Koji Tanaka - forthcoming - Routledge Encyclopaedia of Philosophy.
    Buddhist philosophers have investigated the techniques and methodologies of debate and argumentation which are important aspects of Buddhist intellectual life. This was particularly the case in India, where Buddhism and Buddhist philosophy originated. But these investigations have also engaged philosophers in China, Japan, Korea and Tibet, and many other parts of the world that have been influenced by Buddhism and Buddhist philosophy. Several elements of the Buddhist tradition of philosophy are thought to be part of this investigation. -/- There are (...)
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  13.  23
    [Image] -Determinacy, Comprehension and Induction.Medyahya Ould Medsalem & Kazuyuki Tanaka - 2007 - Journal of Symbolic Logic 72 (2):452 - 462.
    We show that each of $\Delta _{3}^{1}-{\rm CA}_{0}+\Sigma _{3}^{1}-{\rm IND}$ and $\Pi _{2}^{1}-{\rm CA}_{0}+\Pi _{3}^{1}-{\rm TI}$ proves $\Delta _{3}^{0}-{\rm Det}$ and that neither $\Sigma _{3}^{1}-{\rm IND}$ nor $\Pi _{3}^{1}-{\rm TI}$ can be dropped. We also show that neither $\Delta _{3}^{1}-{\rm CA}_{0}+\Sigma _{\infty}^{1}-{\rm IND}$ nor $\Pi _{2}^{1}-{\rm CA}_{0}+\Pi _{\infty}^{1}-{\rm TI}$ proves $\Sigma _{3}^{0}-{\rm Det}$. Moreover, we prove that none of $\Delta _{2}^{1}-{\rm CA}_{0}$, $\Sigma _{3}^{1}-{\rm IND}$ and $\Pi _{2}^{1}-{\rm TI}$ is provable in $\Delta _{1}^{1}-{\rm Det}_{0}={\rm ACA}_{0}+\Delta _{1}^{1}-{\rm Det}$.
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  14. In Search of the Semantics of Emptiness.Koji Tanaka - 2014 - In JeeLoo Liu & Douglas Berger (eds.), Nothingness in Asian Philosophy. London: Routledge. pp. 55-63.
  15.  39
    Infinite Games in the Cantor Space and Subsystems of Second Order Arithmetic.Takako Nemoto, MedYahya Ould MedSalem & Kazuyuki Tanaka - 2007 - Mathematical Logic Quarterly 53 (3):226-236.
    In this paper we study the determinacy strength of infinite games in the Cantor space and compare them with their counterparts in the Baire space. We show the following theorems:1. RCA0 ⊢ equation image-Det* ↔ equation image-Det* ↔ WKL0.2. RCA0 ⊢ 2-Det* ↔ ACA0.3. RCA0 ⊢ equation image-Det* ↔ equation image-Det* ↔ equation image-Det ↔ equation image-Det ↔ ATR0.4. For 1 < k < ω, RCA0 ⊢ k-Det* ↔ k –1-Det.5. RCA0 ⊢ equation image-Det* ↔ equation image-Det.Here, Det* stands for (...)
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  16.  15
    Weak Axioms of Determinacy and Subsystems of Analysis II.Kazuyuki Tanaka - 1991 - Annals of Pure and Applied Logic 52 (1-2):181-193.
    In [10], we have shown that the statement that all ∑ 1 1 partitions are Ramsey is deducible over ATR 0 from the axiom of ∑ 1 1 monotone inductive definition,but the reversal needs П 1 1 - CA 0 rather than ATR 0 . By contrast, we show in this paper that the statement that all ∑ 0 2 games are determinate is also deducible over ATR 0 from the axiom of ∑ 1 1 monotone inductive definition, but the (...)
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  17.  17
    Δ 0 3 -Determinacy, Comprehension and Induction.MedYahya Ould MedSalem & Kazuyuki Tanaka - 2007 - Journal of Symbolic Logic 72 (2):452-462.
    We show that each of Δ13-CA0 + Σ13-IND and Π12-CA0 + Π13-TI proves Δ03-Det and that neither Σ31-IND nor Π13-TI can be dropped. We also show that neither Δ13-CA0 + Σ1∞-IND nor Π12-CA0 + Π1∞-TI proves Σ03-Det. Moreover, we prove that none of Δ21-CA0, Σ31-IND and Π21-TI is provable in Δ11-Det0 = ACA0 + Δ11-Det.
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  18.  22
    Implicit Transfer of Reversed Temporal Structure in Visuomotor Sequence Learning.Kanji Tanaka & Katsumi Watanabe - 2014 - Cognitive Science 38 (3):565-579.
    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]), (...)
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  19. Ethics for Mādhyamikas.Bronwyn Finnigan & Koji Tanaka - 2011 - In Georges Dreyfus, Bronwyn Finnigan, Jay Garfield, Guy Newland, Graham Priest, Mark Siderits, Koji Tanaka, Sonam Thakchoe, Tom Tillemans & Jan Westerhoff (eds.), Moonshadows. Conventional Truth in Buddhist Philosophy. Oxford University Press. pp. 221--31.
     
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  20.  19
    On Formalization of Model-Theoretic Proofs of Gödel's Theorems.Makoto Kikuchi & Kazuyuki Tanaka - 1994 - Notre Dame Journal of Formal Logic 35 (3):403-412.
    Within a weak subsystem of second-order arithmetic , that is -conservative over , we reformulate Kreisel's proof of the Second Incompleteness Theorem and Boolos' proof of the First Incompleteness Theorem.
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  21.  13
    Fixed Point Theory in Weak Second-Order Arithmetic.Naoki Shioji & Kazuyuki Tanaka - 1990 - Annals of Pure and Applied Logic 47 (2):167-188.
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  22.  30
    Weak Axioms of Determinacy and Subsystems of Analysis I: Δ20 Games.Kazuyuki Tanaka - 1990 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 36 (6):481-491.
  23.  40
    Some Conservation Results on Weak König's Lemma.Stephen G. Simpson, Kazuyuki Tanaka & Takeshi Yamazaki - 2002 - Annals of Pure and Applied Logic 118 (1-2):87-114.
    By , we denote the system of second-order arithmetic based on recursive comprehension axioms and Σ10 induction. is defined to be plus weak König's lemma: every infinite tree of sequences of 0's and 1's has an infinite path. In this paper, we first show that for any countable model M of , there exists a countable model M′ of whose first-order part is the same as that of M, and whose second-order part consists of the M-recursive sets and sets not (...)
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  24.  37
    Three Schools of Paraconsistency.Koji Tanaka - 2003 - Australasian Journal of Logic 1:28-42.
    A logic is said to be paraconsistent if it does not allow everything to follow from contradictory premises. There are several approaches to paraconsistency. This paper is concerned with several philosophical positions on paraconsistency. In particular, it concerns three ‘schools’ of paraconsistency: Australian, Belgian and Brazilian. The Belgian and Brazilian schools have raised some objections to the dialetheism of the Australian school. I argue that the Australian school of paraconsistency need not be closed down on the basis of the Belgian (...)
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  25. How Can Buddhists Prove That Non-Existent Things Do Not Exist?Koji Tanaka - 2021 - In Sara Bernstein & Tyron Goldschmidt (eds.), Non-Being: New Essay on the Metaphysics of Non-Existence. Oxford, UK: Oxford University Press. pp. 82-96.
    How can Buddhists prove that non-existent things do not exist? With great difficulty. For the Buddhist, this is not a laughing matter as they are largely global error theorists and, thus, many things are non-existent. The difficulty gets compounded as the Buddhist and their opponent, the non-Buddhist of various kinds, both agree that one cannot prove a thesis whose subject is non-existent. In this paper, I will first present a difficulty that Buddhist philosophers have faced in proving that what they (...)
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  26. Moonshadows. Conventional Truth in Buddhist Philosophy.Georges Dreyfus, Bronwyn Finnigan, Jay Garfield, Guy Newland, Graham Priest, Mark Siderits, Koji Tanaka, Sonam Thakchoe, Tom Tillemans & Jan Westerhoff - 2011 - Oxford University Press.
    The doctrine of the two truths - a conventional truth and an ultimate truth - is central to Buddhist metaphysics and epistemology. The two truths (or two realities), the distinction between them, and the relation between them is understood variously in different Buddhist schools; it is of special importance to the Madhyamaka school. One theory is articulated with particular force by Nagarjuna (2nd ct CE) who famously claims that the two truths are identical to one another and yet distinct. One (...)
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  27.  33
    Non‐Standard Analysis in WKL0.Kazuyuki Tanaka - 1997 - Mathematical Logic Quarterly 43 (3):396-400.
    Within a weak subsystem of second-order arithmetic WKL0, we develop basic part of non-standard analysis up to the Peano existence theorem.
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  28.  10
    Weak Axioms of Determinacy and Subsystems of Analysis I: Δmath Image Games.Kazuyuki Tanaka - 1990 - Mathematical Logic Quarterly 36 (6):481-491.
  29.  28
    Seven Samurai to Protect “Our” Food: The Reform of the Food Safety Regulatory System in Japan After the BSE Crisis of 2001. [REVIEW]Keiko Tanaka - 2008 - Agriculture and Human Values 25 (4):567-580.
    Using the case of food safety governance reform in Japan between 2001 and 2003, this paper examines the relationship between science and trust. The paper explains how the discovery of the first BSE positive cow and consequent food safety scandals in 2001 politicized the role of science in protecting the safety of the food supply. The analysis of the Parliamentary debate focuses on the contestation among legislators and other participants over three dimensions of risk science, including “knowledge,” “objects,” and “beneficiaries.” (...)
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  30.  7
    The Galvin-Prikry Theorem and Set Existen Axioms.Kazuyuki Tanaka - 1989 - Annals of Pure and Applied Logic 42 (1):81-104.
  31.  46
    A Non-Standard Construction of Haar Measure and Weak König's Lemma.Kazuyuki Tanaka & Takeshi Yamazaki - 2000 - Journal of Symbolic Logic 65 (1):173-186.
    In this paper, we show within RCA 0 that weak Konig's lemma is necessary and sufficient to prove that any (separable) compact group has a Haar measure. Within WKL 0 , a Haar measure is constructed by a non-standard method based on a fact that every countable non-standard model of WKL 0 has a proper initial part isomorphic to itself [10].
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  32. Carnap's Pragmatism and the Two Truths.Bronwyn Finnigan & Koji Tanaka - 2011 - In Georges Dreyfus, Bronwyn Finnigan, Jay Garfield, Guy Newland, Graham Priest, Mark Siderits, Koji Tanaka, Sonam Thakchoe, Tom Tillemans & Jan Westerhoff (eds.), Moonshadows. Conventional Truth in Buddhist Philosophy. Oxford University Press. pp. 181--188.
  33. An Introduction to Fuzzy Logic for Practical Applications.Kazuo Tanaka - 1996 - Springer.
    Fuzzy logic has become an important tool for a number of different applications ranging from the control of engineering systems to artificial intelligence. In this concise introduction, the author presents a succinct guide to the basic ideas of fuzzy logic, fuzzy sets, fuzzy relations, and fuzzy reasoning, and shows how they may be applied. The book culminates in a chapter which describes fuzzy logic control: the design of intelligent control systems using fuzzy if-then rules which make use of human knowledge (...)
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  34.  1
    Merge-Generability as the Key Concept of Human Language: Evidence From Neuroscience.Kyohei Tanaka, Isso Nakamura, Shinri Ohta, Naoki Fukui, Mihoko Zushi, Hiroki Narita & Kuniyoshi L. Sakai - 2019 - Frontiers in Psychology 10.
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  35. Don't Think! Just Act!Bronwyn Finnigan & Koji Tanaka - 2010 - In Graham Priest & Damon Young (eds.), Philosophy and the Martial Arts. Open Court.
    Kenzo saw a slight movement of his opponent. “Now is the time to strike!” he thought. He started moving. But before he had time to raise his shinai (sword) he was struck on the men (head) by his opponent. “Ippon!” the judge called.
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  36.  3
    Rites of Passage: Constructing Quality in a Commodity Subsector.Keiko Tanaka & Lawrence Busch - 1996 - Science, Technology and Human Values 21 (1):3-27.
    This article extends the concept of symmetry to ethics. Using the case of canola in Canada, the authors argue that grades and standards simultaneously subject humans and nonhumans to rites of passage that test their "goodness. " Then, they further develop a tentative typology of standards. The authors argue that these standards allow something resembling the neoclassical market to be established, create the conditions for economic analysis, and allocate power among human actors.
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  37.  8
    Effects of an Additional Sequence of Color Stimuli on Visuomotor Sequence Learning.Kanji Tanaka & Katsumi Watanabe - 2017 - Frontiers in Psychology 8.
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  38. Minds, Programs, and Chinese Philosophers: A Chinese Perspective on the Chinese Room.Koji Tanaka - 2004 - Sophia 43 (1):61-72.
    The paper is concerned with John Searle’s famous Chinese room argument. Despite being objected to by some, Searle’s Chinese room argument appears very appealing. This is because Searle’s argument is based on an intuition about the mind that ‘we’ all seem to share. Ironically, however, Chinese philosophers don’t seem to share this same intuition. The paper begins by first analysing Searle’s Chinee room argument. It then introduces what can be seen as the (implicit) Chinese view of the mind. Lastly, it (...)
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  39. Impossible Worlds, by Francesco Berto and Mark Jago. [REVIEW]Koji Tanaka - 2022 - Mind 131 (521):292-301.
  40. On Nāgārjuna's Ontological and Semantic Paradox.Koji Tanaka - 2016 - Philosophy East and West 66 (4):1292-1306.
    In one of his key texts, the Mūlamadhyamakakārikā, Nāgārjuna famously sets out to refute the ontology of essence.1 He presents numerous arguments to show that things don’t exist essentially—that is, that things are empty of essence or inherent existence. The doctrine of emptiness has been variously understood by traditional and contemporary commentators. Most radical is the recent interpretation presented by Garfield and Priest. They have rationally reconstructed Nāgārjuna’s doctrine of emptiness as an endorsement of the contradictory nature of reality. According (...)
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  41.  19
    To Be Something and Something Else: Dialetheic Tense Logic.K. Tanaka - 1998 - Logique Et Analyse 16:189-202.
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  42. Ways of Doing Cross-Cultural Philosophy.Koji Tanaka - 2016 - In John Makeham (ed.), Learning from the Other: Australian and Chinese Perspectives on Philosophy. Canberra: Australian Academy of the Humanities. pp. 59-65.
  43. On Self-Awareness and the Self.Koji Tanaka - 2014 - In Graham Priest & Damon Young (eds.), Philosophy and Martial Arts. London: Routledge. pp. 127-138.
    Some philosophers of mind, cognitive scientists, phenomenologists as well as Buddhist philosophers have claimed that an awareness of an object is not just an experience of that object but also involves self-awareness. It is sometimes argued that being aware of an object without being aware of oneself is pathological. As anyone who has been involved in martial arts, as well as any sports requiring quick responses such as cricket and tennis, can testify, however, awareness of the self at the time (...)
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  44.  78
    The Limit of Language in Daoism.Koji Tanaka - 2004 - Asian Philosophy 14 (2):191 – 205.
    The paper is concerned with the development of the paradoxical theme of Daoism. Based on Chad Hansen's interpretation of Daoism and Chinese philosophy in general, it traces the history of Daoism by following their treatment of the limit of language. The Daoists seem to have noticed that there is a limit to what language can do and that the limit of language is paradoxical. The 'theoretical' treatment of the paradox of the limit of language matures as Daoism develops. Yet the (...)
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  45.  85
    On Medical Experts' Advice On Schools.Koji Tanaka - manuscript
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  46. Davidson and Chinese Conceptual Scheme.Koji Tanaka - 2006 - In Bo Mou (ed.), Philosophical Engagement: Davidson’s Philosophy and Chinese Philosophy. Leiden: Brill Academic Publishers. pp. 55-71.
    In one of his influential works ‘One the Very Idea of a Conceptual Scheme’, Donald Davidson argues against conceptual relativism. According to Davidson, ‘we could not be in a position to judge that others had concepts or beliefs radically different from our own’. Davidson’s thesis seems to have a consequence for comparative philosophy, particularly in a comparative study between Chinese and Western traditions of philosophy which are often considered to differ conceptually. If Davidson is correct, it is not clear whether (...)
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  47. Simpson, SG, Tanaka, K. And Yamazaki, T., Some Conserva.K. Tanaka - 2002 - Annals of Pure and Applied Logic 118:249.
  48. In Defense of Priest -- A Reply to Mortensen.Koji Tanaka - 2007 - Philosophy East and West 57 (2):257-259.
  49. Dharmakīrti and Priest on an Inconsistent Theory of Change — a Comment to Mortensen.Koji Tanaka - 2007 - Philosophy East and West 57 (2):244-252.
  50. Inference in the Mengzi 1a: 7.Koji Tanaka - 2011 - Journal of Chinese Philosophy 38 (3):444-454.
    In 1A:7 of the Mengzi, Mengzi tries to convince King Xuan of Qi that he is a “true” king. As a reading of Mengzi’s reasoning involved in his attempt at persuasion, David Nivison advances an inferential view, according to which Mengzi’s persuasion involves inferences. In this paper, I consider the assumptions underlying the objections raised against Nivison’s inferential view. I argue that these objections assume a contemporary Western view about the nature of logic and inferences. I propose an alternative characterisation (...)
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