Details of the Researcher

PHOTO

Hitoshi Omori
Section
Graduate School of Information Sciences
Job title
Professor
Degree
e-Rad No.
50771036

Research History 8

  • 2025/04 - Present
    Tohoku University Graduate School of Information Sciences, Department of Human-Social Information Sciences Professor

  • 2023/04 - 2025/03
    Tohoku University Graduate School of Information Sciences Department of Human-Social Information Sciences Associate Professor

  • 2018/12 - 2023/03
    Ruhr University Bochum Department of Philosophy I Junior-Professor

  • 2018/04 - 2018/11
    Japan Advanced Institute of Science and Technology School of Information Science Assistant Professor

  • 2015/04 - 2018/03
    Kyoto University Graduate School of Letters JSPS Postdoctoral Research Fellow (PD)

  • 2013/04 - 2015/03
    City University of New York Graduate Center, Philosophy Program JSPS Postdoctoral Fellow for Research Abroad

  • 2011/10 - 2013/03
    Kobe University Graduate School of System Informatics JSPS Postdoctoral Research Fellow (PD)

  • 2010/04 - 2011/09
    Tokyo Institute of Technology Graduate School of Decision Science and Technology JSPS Doctoral Research Fellow (DC1)

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Education 3

  • Tokyo Institute of Technology Graduate School of Decision Science and Technology Doctoral Course, Department of Industrial Engineering and Management

    2010/04 - 2011/09

  • Tokyo Institute of Technology Graduate School of Decision Science and Technology Master's Course, Department of Industrial Engineering and Management

    2008/04 - 2010/03

  • Tokyo Institute of Technology Faculty of Science Department of Mathematics

    2004/04 - 2008/03

Professional Memberships 2

  • THE MATHEMATICAL SOCIETY OF JAPAN

  • JAPAN ASSOCIATION FOR PHILOSOPHY OF SCIENCE

Research Interests 7

  • Philosophy

  • Logic

  • Dialetheism

  • Modal logic

  • Many-valued logic

  • Paraconsistent logic

  • Nonclassical logic

Research Areas 1

  • Humanities & social sciences / Philosophy and ethics /

Awards 2

  1. Best Paper Award

    2024/09 Eleventh International Conference on Non-Classical Logics. Theory and Applications Kamide is in America, Moisil and Leitgeb are in Australia

  2. Sofja Kovalevskaja Award

    2018/11 The Alexander von Humboldt Foundation

Papers 70

  1. A note on formalizing discussive logic Peer-reviewed

    Hitoshi Omori, Igor Sedlar

    The Australasian Journal of Logic 22 (1) 33-43 2025/01/01

    Publisher: Victoria University of Wellington Library

    DOI: 10.26686/ajl.v22i2.6800  

    eISSN: 1448-5052

    More details Close

    Discussive logic was introduced by Jaskowski as a logic of discussion. In this note we show that some natural translation-based formalizations of discussive logic in modal logic do not yield a paraconsistent logic but rather classical logic. Some alternative modal formalizations of discus- sive logic that avoid the collapse into classical logic are put forward.

  2. The Disjunction-Free Fragment of D2 is Three-Valued Peer-reviewed

    Hitoshi Omori

    Electronic Proceedings in Theoretical Computer Science 415 257-270 2024/12/31

    Publisher: Open Publishing Association

    DOI: 10.4204/eptcs.415.22  

    eISSN: 2075-2180

  3. The Power of Generalized Clemens Semantics Peer-reviewed

    Hitoshi Omori, Jonas R. B. Arenhart

    Electronic Proceedings in Theoretical Computer Science 415 244-256 2024/12/31

    Publisher: Open Publishing Association

    DOI: 10.4204/eptcs.415.21  

    eISSN: 2075-2180

  4. A note on Grigoriev and Zaitsev's system CNL^2_4 Peer-reviewed

    Hitoshi Omori, Jonas R. B. Arenhart

    Electronic Proceedings in Theoretical Computer Science 415 229-243 2024/12/31

    Publisher: Open Publishing Association

    DOI: 10.4204/eptcs.415.20  

    eISSN: 2075-2180

  5. Kamide is in America, Moisil and Leitgeb are in Australia Peer-reviewed

    Satoru Niki, Hitoshi Omori

    Electronic Proceedings in Theoretical Computer Science 415 180-194 2024/12/31

    Publisher: Open Publishing Association

    DOI: 10.4204/eptcs.415.17  

    eISSN: 2075-2180

  6. On Woodruff's Constructive Nonsense Logic. Peer-reviewed

    Jonas R. Becker Arenhart, Hitoshi Omori

    Studia Logica 112 (6) 1261-1280 2024/12

    DOI: 10.1007/s11225-023-10092-z  

  7. A Generalization of Beall's Off-Topic Interpretation. Peer-reviewed

    Yang Song, Hitoshi Omori, Jonas R. Becker Arenhart, Satoshi Tojo

    Studia Logica 112 (4) 893-932 2024/08

    DOI: 10.1007/s11225-023-10075-0  

  8. Why FDE might be too strong for Beall Peer-reviewed

    Hitoshi Omori, Jonas R. B. Arenhart

    Asian Journal of Philosophy 3 (1) 2024/06

    DOI: 10.1007/s44204-023-00133-8  

    eISSN: 2731-4642

  9. Angell and McCall Meet Wansing. Peer-reviewed

    Hitoshi Omori, Andreas Kapsner

    Studia Logica 112 (1-2) 141-165 2024/04

    DOI: 10.1007/s11225-023-10083-0  

  10. Connexive Logic, Connexivity, and Connexivism: Remarks on Terminology.

    Heinrich Wansing, Hitoshi Omori

    Studia Logica 112 (1-2) 1-35 2024/04

    DOI: 10.1007/s11225-023-10082-1  

  11. Is the de Finetti conditional a conditional? Peer-reviewed

    Hitoshi Omori, Jonas R. B. Arenhart

    Argumenta 2024/01

    DOI: 10.14275/2465-2334/20230.omo  

  12. Should the negated conditional entail its antecedent? Peer-reviewed

    Hitoshi Omori

    Analysis (United Kingdom) 84 (3) 512-515 2024

    DOI: 10.1093/analys/anad089  

    ISSN: 0003-2638

    eISSN: 1467-8284

  13. On Ivlev’s Semantics for Modality Peer-reviewed

    Hitoshi Omori, Daniel Skurt

    Synthese Library 485 243-275 2024

    DOI: 10.1007/978-3-031-56595-3_9  

    ISSN: 0166-6991

    eISSN: 2542-8292

  14. Change of logic, without change of meaning Peer-reviewed

    Hitoshi Omori, Jonas R.B. Arenhart

    Theoria (Sweden) 89 (4) 414-431 2023/08

    DOI: 10.1111/theo.12459  

    ISSN: 0040-5825

    eISSN: 1755-2567

  15. Varieties of negation and contra-classicality in view of Dunn semantics Peer-reviewed

    Hitoshi Omori, Heinrich Wansing

    Relevance Logics and other Tools for Reasoning. Essays in Honour of J. Michael Dunn 309-337 2022/05

  16. Shrieking, Shrugging, and the Australian Plan Peer-reviewed

    Hitoshi Omori, Michael De

    Notre Dame Journal of Formal Logic 63 (2) 137-141 2022/05

    DOI: 10.1215/00294527-2022-0009  

    ISSN: 0029-4527

    eISSN: 1939-0726

  17. Knot much like tonk Peer-reviewed

    Michael De, Hitoshi Omori

    Synthese 200 (2) 2022/04

    DOI: 10.1007/s11229-022-03655-5  

    ISSN: 0039-7857

    eISSN: 1573-0964

  18. A Note on "A Connexive Conditional" Peer-reviewed

    Heinrich Wansing, Hitoshi Omori

    Logos and Episteme 13 (3) 325-328 2022

    DOI: 10.5840/logos-episteme202213326  

    ISSN: 2069-0533

    eISSN: 2069-3052

  19. Another Combination of Classical and Intuitionistic Conditionals. Peer-reviewed

    Satoru Niki, Hitoshi Omori

    Proceedings of the 10th International Conference on Non-Classical Logics. Theory and Applications(NCL) 174-188 2022

    DOI: 10.4204/EPTCS.358.13   10.48550/arXiv.2204.06730  

  20. Superconnexivity Reconsidered. Peer-reviewed

    Andreas Kapsner, Hitoshi Omori

    Proceedings of the 10th International Conference on Non-Classical Logics. Theory and Applications(NCL) 160-173 2022

    DOI: 10.4204/EPTCS.358.12   10.48550/arXiv.2204.06729  

  21. Haack meets Herzberger and Priest. Peer-reviewed

    Hitoshi Omori, Jonas Rafael Becker Arenhart

    52nd IEEE International Symposium on Multiple-Valued Logic(ISMVL) 137-144 2022

    Publisher: IEEE

    DOI: 10.1109/ISMVL52857.2022.00028  

  22. Liberating classical negation from falsity conditions. Peer-reviewed

    Damián Enrique Szmuc, Hitoshi Omori

    52nd IEEE International Symposium on Multiple-Valued Logic(ISMVL) 131-136 2022

    Publisher: IEEE

    DOI: 10.1109/ISMVL52857.2022.00027  

  23. Questions to Michael Dunn

    Heinrich Wansing, Grigory Olkhovikov, Hitoshi Omori

    Logical Investigations 27 (1) 9-19 2021

    DOI: 10.21146/2074-1472-2021-27-1-9-19  

    ISSN: 2074-1472

    eISSN: 2413-2713

  24. A Generalization of Ordered-Pair Semantics. Peer-reviewed

    Hitoshi Omori, Jonas R. Becker Arenhart

    Logic, Rationality, and Interaction - 8th International Workshop(LORI) 149-157 2021

    Publisher: Springer

    DOI: 10.1007/978-3-030-88708-7_12  

  25. Untruth, falsity and non-deterministic semantics. Peer-reviewed

    Hitoshi Omori, Daniel Skurt

    51st IEEE International Symposium on Multiple-Valued Logic(ISMVL) 74-80 2021

    Publisher: IEEE

    DOI: 10.1109/ISMVL51352.2021.00022  

  26. A two-valued semantics for infectious logics. Peer-reviewed

    Yang Song, Hitoshi Omori, Satoshi Tojo

    51st IEEE International Symposium on Multiple-Valued Logic(ISMVL) 50-55 2021

    Publisher: IEEE

    DOI: 10.1109/ISMVL51352.2021.00018  

  27. A note on Humberstone's constant Ω. Peer-reviewed

    Satoru Niki, Hitoshi Omori

    Reports on Mathematical Logic 56 75-99 2021

    DOI: 10.4467/20842589RM.21.004.14376  

  28. An Extension of Connexive Logic C. Peer-reviewed

    Hitoshi Omori, Heinrich Wansing

    13th Conference on Advances in Modal Logic(AiML) 503-522 2020

    Publisher: College Publications

  29. A Semantics for a Failed Axiomatization of K. Peer-reviewed

    Hitoshi Omori, Daniel Skurt

    13th Conference on Advances in Modal Logic(AiML) 481-501 2020

    Publisher: College Publications

  30. Actuality in Intuitionistic Logic. Peer-reviewed

    Satoru Niki, Hitoshi Omori

    13th Conference on Advances in Modal Logic(AiML) 459-479 2020

    Publisher: College Publications

  31. From logics of formal inconsistency to logics of formal classicality. Peer-reviewed

    Hitoshi Omori

    Logic Journal of the IGPL 28 (5) 684-711 2020

    DOI: 10.1093/jigpal/jzy056  

  32. Observations on the Trivial World Peer-reviewed

    Zach Weber, Hitoshi Omori

    Erkenntnis 84 (5) 975-994 2019/10/01

    DOI: 10.1007/s10670-018-9990-y  

    ISSN: 0165-0106

    eISSN: 1572-8420

  33. Just true? On the Metatheory for Paraconsistent Truth Peer-reviewed

    Hitoshi Omori, Zach Weber

    Logique et Analyse 248 415-433 2019

    DOI: 10.2143/LEA.248.0.3287323  

  34. Connexive logics: an overview and current trends

    Hitoshi Omori, Heinrich Wansing

    Logic and Logical Philosophy 28 (3) 371-387 2019

    DOI: 10.12775/LLP.2019.026  

    ISSN: 1425-3305

    eISSN: 2300-9802

  35. Towards a bridge over two approaches in connexive logic Peer-reviewed

    Hitoshi Omori

    Logic and Logical Philosophy 28 (3) 553-566 2019

    DOI: 10.12775/LLP.2019.005  

    ISSN: 1425-3305

    eISSN: 2300-9802

  36. A note on Ciuciura's mbC1 Peer-reviewed

    Hitoshi Omori

    Bulletin of the Section of Logic 48 (3) 161-171 2019

    DOI: 10.18778/0138-0680.48.3.01  

    ISSN: 0138-0680

  37. An Invitation to New Essays on Belnap-Dunn Logic Peer-reviewed

    Hitoshi Omori, Heinrich Wansing

    Synthese Library 418 1-9 2019

    DOI: 10.1007/978-3-030-31136-0_1  

    ISSN: 0166-6991

    eISSN: 2542-8292

  38. SIXTEEN _3 in Light of Routley Stars. Peer-reviewed

    Hitoshi Omori, Daniel Skurt

    Logic, Language, Information, and Computation - 26th International Workshop(WoLLIC) 516-532 2019

    Publisher: Springer

    DOI: 10.1007/978-3-662-59533-6_31  

  39. A Note on Goddard and Routley's Significance Logic Peer-reviewed

    Damian Szmuc, Hitoshi Omori

    The Australasian Journal of Logic 15 (2) 431-448 2018/07/05

    Publisher: Victoria University of Wellington Library

    DOI: 10.26686/ajl.v15i2.4867  

    eISSN: 1448-5052

    More details Close

    The present note revisits the joint work of Leonard Goddard and Richard Routley on significance logics (namely, logics able to handle nonsignificant sentences) with the aim of shedding new light on their understanding by studying them under the lens of recent semantic developments, such as the plurivalent semantics developed by Graham Priest. These semantics allow sentences to receive one, more than one, or no truth-value at all from a given carrier set. Since nonsignificant sentences are taken to be neither true nor false, i.e. truth-value gaps, in this essay we show that with the aid of plurivalent semantics it is possible to straightforwardly instantiate Goddard and Routley’s understanding of how the connectives should work within significance logics.

  40. Axiomatizing Jaśkowski's Discussive Logic D2 Peer-reviewed

    Hitoshi Omori, Jesse Alama

    Studia Logica 106 (6) 1163-1180 2018

    DOI: 10.1007/s11225-017-9780-6  

  41. On contra-Classical Variants of Nelson Logic N4 and its Classical Extension. Peer-reviewed

    Hitoshi Omori, Heinrich Wansing

    The Review of Symbolic Logic 11 (4) 805-820 2018

    DOI: 10.1017/S1755020318000308  

  42. There is More to Negation than Modality. Peer-reviewed

    Michael De, Hitoshi Omori

    Journal of Philosophical Logic 47 (2) 281-299 2018

    DOI: 10.1007/s10992-017-9427-0  

  43. Counterfactuals in Nelson Logic. Peer-reviewed

    Andreas Kapsner, Hitoshi Omori

    Logic, Rationality, and Interaction - 6th International Workshop(LORI) 497-511 2017

    Publisher: Springer

    DOI: 10.1007/978-3-662-55665-8_34  

  44. Sette's Logics, Revisited. Peer-reviewed

    Hitoshi Omori

    Logic, Rationality, and Interaction - 6th International Workshop(LORI) 451-465 2017

    Publisher: Springer

    DOI: 10.1007/978-3-662-55665-8_31  

  45. Conjunction and Disjunction in Infectious Logics. Peer-reviewed

    Hitoshi Omori, Damián Enrique Szmuc

    Logic, Rationality, and Interaction - 6th International Workshop(LORI) 268-283 2017

    Publisher: Springer

    DOI: 10.1007/978-3-662-55665-8_19  

  46. An Extended First-Order Belnap-Dunn Logic with Classical Negation. Peer-reviewed

    Norihiro Kamide, Hitoshi Omori

    Logic, Rationality, and Interaction - 6th International Workshop(LORI) 79-93 2017

    Publisher: Springer

    DOI: 10.1007/978-3-662-55665-8_6  

  47. 40 years of FDE: An Introductory Overview.

    Hitoshi Omori, Heinrich Wansing

    Studia Logica 105 (6) 1021-1049 2017

    DOI: 10.1007/s11225-017-9748-6  

  48. From Paraconsistent Logic to Dialetheic Logic Peer-reviewed

    Hitoshi Omori

    Trends in Logic 45 111-134 2016

    DOI: 10.1007/978-3-319-40220-8_8  

    ISSN: 1572-6126

    eISSN: 2212-7313

  49. Hallden's Logic of Nonsense and Its Expansions in View of Logics of Formal Inconsistency. Peer-reviewed

    Hitoshi Omori

    27th International Workshop on Database and Expert Systems Applications 129-133 2016

    Publisher: IEEE Computer Society

    DOI: 10.1109/DEXA.2016.039  

  50. Classical and Empirical Negation in Subintuitionistic Logic. Peer-reviewed

    Michael De, Hitoshi Omori

    Advances in Modal Logic 11 217-235 2016

    Publisher: College Publications

  51. A Note on Wansing's expansion of Nelson's logic - a correction to "An axiomatization of Wansing's expansion of Nelson's logic". Peer-reviewed

    Hitoshi Omori

    Reports on Mathematical Logic 51 133-144 2016

    DOI: 10.4467/20842589RM.16.009.5286  

  52. More Modal Semantics without Possible Worlds. Peer-reviewed

    Hitoshi Omori, Daniel Skurt

    IfCoLog Journal of Logics and their Applications(FLAP) 3 (5) 815-846 2016

  53. A Note on Francez' Half-Connexive Formula. Peer-reviewed

    Hitoshi Omori

    IfCoLog Journal of Logics and their Applications(FLAP) 3 (3) 505-512 2016

  54. A Simple Connexive Extension of the Basic Relevant Logic BD. Peer-reviewed

    Hitoshi Omori

    IfCoLog Journal of Logics and their Applications(FLAP) 3 (3) 467-478 2016

  55. The Tenacity of Connexive Logic

    Heinrich Wansing, Hitoshi Omori, Thomas Macaulay Ferguson

    IfCoLog Journal of Logics and their Applications(FLAP) 3 (3) 279-296 2016

  56. Generalizing Functional Completeness in Belnap-Dunn Logic. Peer-reviewed

    Hitoshi Omori, Katsuhiko Sano

    Studia Logica 103 (5) 883-917 2015/10

    DOI: 10.1007/s11225-014-9597-5  

    ISSN: 0039-3215

  57. Negative Modalities in the Light of Paraconsistency Invited

    Hitoshi Omori, Toshiharu Waragai

    Studies in Universal Logic 539-555 2015

    DOI: 10.1007/978-3-319-15368-1_23  

    ISSN: 2297-0282

    eISSN: 2297-0290

  58. Classical Negation and Expansions of Belnap-Dunn Logic. Peer-reviewed

    Michael De, Hitoshi Omori

    Studia Logica 103 (4) 825-851 2015

    DOI: 10.1007/s11225-014-9595-7  

  59. Remarks on Naive Set Theory based on LP. Peer-reviewed

    Hitoshi Omori

    The Review of Symbolic Logic 8 (2) 279-295 2015

    DOI: 10.1017/S1755020314000525  

  60. An axiomatization of Wansing's expansion of Nelson's logic. Peer-reviewed

    Hitoshi Omori

    Reports on Mathematical Logic 50 41-51 2015

    DOI: 10.4467/20842589RM.15.003.3912  

  61. An expansion of first-order Belnap-Dunn logic. Peer-reviewed

    Katsuhiko Sano, Hitoshi Omori

    Logic Journal of the IGPL 22 (3) 458-481 2014/06

    DOI: 10.1093/jigpal/jzt044  

    ISSN: 1367-0751

    eISSN: 1368-9894

  62. On the Propagation of Consistency in Some Systems of Paraconsistent Logic Peer-reviewed

    Hitoshi Omori, Toshiharu Waragai

    Logic, Argumentation and Reasoning 5 153-178 2014

    DOI: 10.1007/978-94-017-9011-6_8  

    ISSN: 2214-9120

    eISSN: 2214-9139

  63. More on Empirical Negation. Peer-reviewed

    Michael De, Hitoshi Omori

    Advances in Modal Logic 10 114-133 2014

    Publisher: College Publications

  64. da Costa Meets Belnap and Nelson Peer-reviewed

    Hitoshi Omori, Katsuhiko Sano

    Recent Trends in Philosophical Logic 41 145-166 2014

    DOI: 10.1007/978-3-319-06080-4_11  

    ISSN: 1572-6126

  65. On Extensions of a System of Paraconsistent Logic PCL1 Peer-reviewed

    Hitoshi OMORI, Toshiharu WARAGAI

    Journal of the Japan Association for Philosophy of Science 39 (2) 51-68 2012

    Publisher: The Japan Association for Philosophy of Science

    DOI: 10.4288/kisoron.39.2_51  

    ISSN: 0022-7668

    eISSN: 1884-1236

  66. Some Observations on the Systems LFI1 and LFI1. Peer-reviewed

    Hitoshi Omori, Toshiharu Waragai

    2011 Database and Expert Systems Applications 320-324 2011

    Publisher: IEEE Computer Society

    DOI: 10.1109/DEXA.2011.77  

  67. Some new results on PCL1 and its related systems Peer-reviewed

    Toshiharu Waragai, Hitoshi Omori

    Logic and Logical Philosophy 19 (1-2) 129-158 2010/06/30

    Publisher: Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University

    DOI: 10.12775/llp.2010.006  

    ISSN: 1425-3305

  68. A Note on Majkic's Systems. Peer-reviewed

    Hitoshi Omori, Toshiharu Waragai

    Notre Dame Journal of Formal Logic 51 (4) 503-506 2010

    DOI: 10.1215/00294527-2010-032  

  69. On Béziau’s logic Z Peer-reviewed

    Hitoshi Omori, Toshiharu Waragai

    Logic and Logical Philosophy 17 (4) 305-320 2009/03/15

    Publisher: Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University

    DOI: 10.12775/llp.2008.017  

    ISSN: 1425-3305

  70. A System of Paraconsistent Logic Equipped with Classical Negation Peer-reviewed

    Toshiharu WARAGAI, Hitoshi OMORI

    Journal of the Japan Association for Philosophy of Science 36 (1) 9-18 2009

    Publisher: The Japan Association for Philosophy of Science

    DOI: 10.4288/kisoron.36.1_9  

    ISSN: 0022-7668

    eISSN: 1884-1236

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Research Projects 8

  1. Connexive logicに関する研究

    大森 仁

    Offer Organization: 日本学術振興会

    System: 科学研究費助成事業

    Category: 挑戦的研究(萌芽)

    Institution: 東北大学

    2024/06/28 - 2027/03/31

  2. 多値論理の一般化に関する哲学的研究

    大森 仁

    Offer Organization: 日本学術振興会

    System: 科学研究費助成事業

    Category: 研究活動スタート支援

    Institution: 東北大学

    2023/08/31 - 2025/03/31

  3. Dialetheism and Asian Thoughts: Towards the Formation of International Reserch Hub for Analtytic Asian Philosophy

    Deguchi Yasuo

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research

    Category: Grant-in-Aid for Scientific Research (B)

    Institution: Kyoto University

    2016/04/01 - 2019/03/31

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    This project aims to reinterpret East Asian philosophy of Emptiness in terms of contemporary philosophy and logic, asking if it commits dialetheism, according to which some, but not all, contradictions are true. It concludes, for instance, that, for Sanlun school of Chinese Buddhism, emptiness means the trans-dichotomous of the reality, and can be expressed as contradictions in our language. On the other, Tientai School developed the concept of emptiness as three truths, and effectively claimed that the reality is free of any conceptual distinctions, but instead, contradictory in that it has some contradictory conceptual properties. Late Nishida advocated the logic of absolutely contradictory self-identity, that can be taken as his variant of emptiness. It can be interpreted as non-transitive identity, and be shown to imply some true contradictions. Here true contradiction means not merely non-duality but also productivity of basic ontological entities such as the world, and self.

  4. 自然言語における繋辞と含意に関する論理学的研究 Competitive

    大森仁

    Offer Organization: 北陸先端科学技術大学院大学

    System: 萌芽的研究支援

    2018/07 - 2018/11

  5. 矛盾許容型論理の全容解明に向けた研究 Competitive

    大森仁

    Offer Organization: 日本学術振興会

    System: 若手研究

    2018/04 - 2018/11

  6. 真矛盾主義に関連する哲学及び論理学の研究 Competitive

    大森仁

    Offer Organization: 日本学術振興会

    System: 若手研究(B)

    2016/04 - 2018/03

  7. 真矛盾主義に基づく真理論及び数学の基礎の再検討 Competitive

    大森仁

    Offer Organization: 日本学術振興会

    System: 特別研究員奨励費

    2015/04 - 2018/03

  8. 否定・様相性・非存在に関する論理的存在論の研究 Competitive

    大森仁

    Offer Organization: 日本学術振興会

    System: 特別研究員奨励費

    Category: 特別研究員奨励費

    2010/04 - 2013/03

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    本研究の目的は、矛盾的対象や可能的対象を適切に取り扱うために必要となる論理的枠組みを構築することであり、この目的のもとで、哲学的・歴史的考察の段階と形式的考察の段階の二段階に分けて研究を進めていくことを企図している。そして2012年度においては、上記の研究目的のうちの形式的考察及び既存の矛盾的対象や可能的対象を適切に取り扱うための枠組みとの比較を行った。 まず形式的考察については、2011年度より取り組んでいる北陸先端科学技術大学院大学の佐野勝彦助教との共同研究を継続し、本研究で主要な役割を果たす命題の整合性と、従来命題の整合性を導入する際に必ず伴っていた実質含意とに着目し、命題の整合性の導入のためには、必ずしも実質含意が必要でないことを示した。また2012年度においては、新たにユトレヒト大学のMichael De博士研究員との共同研究を開始し、非古典論理における古典的否定の特徴付けの問題を扱った。そして、従来の特徴付けは証明論的な観点に偏っていたが、意味論的観点に立った場合に、これまで注目されていた条件だけでは取り扱い得ない点のあることを示した。 2012年度後半には、矛盾的対象や可能的対象の論理的取り扱いにおける第一人者であるニューヨーク市立大学のGraham Priest教授を訪問し、特に既存の枠組みとの比較を行った。具体的には、数学の基礎において議論の対象となる素朴集合論に着目し、本研究で展開した古典的否定を含む体系に基づく素朴集合論も破綻はせず、矛盾的対象の取り扱いが可能であることを示した。さらに、2011年度において展開したポーランドの論理学者レシニェフスキーの伝統に従っている論理的存在論を矛盾許容型論理に基づいて展開した体系と、Priest教授が著書Towards non-beingにおいて展開している体系との比較・検討への手掛かりを得た。

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