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Interdisciplinary study on logic, with a special focus on intuitionistic logic

Research Project

Project/Area Number 26284005
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypePartial Multi-year Fund
Section一般
Research Field Philosophy/Ethics
Research InstitutionKeio University

Principal Investigator

Okada Mitsuhiro  慶應義塾大学, 文学部(三田), 教授 (30224025)

Co-Investigator(Kenkyū-buntansha) 金子 洋之  専修大学, 文学部, 教授 (60191988)
峯島 宏次  お茶の水女子大学, シミュレーション科学教育研究センター, 特任講師 (80725739)
Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥5,590,000 (Direct Cost: ¥4,300,000、Indirect Cost: ¥1,290,000)
Fiscal Year 2016: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2015: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2014: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords論理と数学の哲学 / 図形推論 / 直観主義論理 / 証明論 / Wittgenstein哲学 / 日常推論の認知科学 / フッサール論理学 / 情報論理 / 線形論理 / 可能世界意味論 / 図形論理 / ウィトゲンシュタイン / 数学の哲学 / 論理の哲学 / 論理哲学 / 学際論理研究 / 論理学の哲学 / 学際論理推論研究 / 論理学 / フッサールの論理 / ウィトゲンシュタインの数学の哲学 / 図形論理推論 / 論理推論研究 / 図的論理
Outline of Final Research Achievements

We analyzed Husserl's theory of constructible definite manifolds and Wittgenstein's theory of inductive proofs from the constructivist philosophy of mathematics. We developed a Fitting-forcing-based classical model construction method from intuitionistic possible world semantics for introducing a new semantics with computational interpretations. We gave a concrete application of this semantics to the computer security field. We also developed a general theory of proof normalization in an abstruct setting. We also developed some new proof-theoreric methods for analizing diagrammatic logic. We introduced various experimental methods in our research to consider the process models of logical inferences in our ordinary life. Our methods include cognitive scientific/cognitive psychological, behavioral genetic psychological, social psychological methods and others.

Report

(4 results)
  • 2017 Final Research Report ( PDF )
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • 2014 Annual Research Report
  • Research Products

    (46 results)

All 2017 2016 2015 2014 Other

All Int'l Joint Research (9 results) Journal Article (9 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 8 results,  Open Access: 3 results,  Acknowledgement Compliant: 3 results) Presentation (22 results) (of which Int'l Joint Research: 15 results,  Invited: 8 results) Book (2 results) Funded Workshop (4 results)

  • [Int'l Joint Research] パリ第1大学/リヨン第3大学/CNRS(国立科学研究センター)(フランス)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] ケベック大学モントリオール校(カナダ)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] ルクセンブルグ大学(ルクセンブルク)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] ローマ第3大学(イタリア)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] ミズーリ大学(米国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] CNRS フランス国立科学研究センター人文社会科学部門/パリ大学第1校/IHPST パリ科学史科学哲学研究所(フランス)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] ローマ大学第3校(イタリア)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] ケベック大学モントリオール校/ (カナダ)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] ヘルシンキ大学(フィンランド)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Semantics for “Enough-Certainty" and Fitting’s Embedding of Classical Logic in S4, Computer science Logic 20162017

    • Author(s)
      Gergei Bana and Mitsuhiro Okada
    • Journal Title

      Leibniz International Proceeding Series, Proceedings of Computer Science Logic 2016Article No. 23;

      Volume: 23 Pages: 1-17

    • DOI

      10.4230/LIPIcs.CSL.2016.34

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Factivity and Presupposition in Dependent Type Semantics.2017

    • Author(s)
      Ribeka Tanaka, Koji Mineshima and Daisuke Bekki.
    • Journal Title

      Journal of Language Modelling.

      Volume: 近刊

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Syntactic reduction in Husserl's early phenomenology of arithmetic.2016

    • Author(s)
      Mirja Hartimo and Mitsuhiro Okada
    • Journal Title

      Synthese

      Volume: 193 Issue: 3 Pages: 937-969

    • DOI

      10.1007/s11229-015-0779-0

    • Related Report
      2016 Annual Research Report 2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Human reasoning with proportional quantifiers and its support by diagrams.Diagrammatic Representation and Inference,2016

    • Author(s)
      Yuri Sato and Koji Mineshima.
    • Journal Title

      Lecture Notes in Computer Science,(Springer-Verlag)

      Volume: 9781 Pages: 123-138

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 初期フッサールの普遍算術と確定多様体について : 1901年冬草稿{ (招待論文)2015

    • Author(s)
      岡田光弘
    • Journal Title

      現象学年報

      Volume: 31 Pages: 1-12

    • Related Report
      2015 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] Genetic factors of individual differences in decision making in economic behavior: A Japanese twin study using the allais problem2015

    • Author(s)
      Shikishima, C., Hiraishi, K., Yamagata, S., Ando, J., & Okada, M.
    • Journal Title

      Frontiers in Psychology

      Volume: 6 Issue: NOV Pages: 1-20

    • DOI

      10.3389/fpsyg.2015.01712

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] How diagrams can support syllogistic reasoning: an experimental study2015

    • Author(s)
      Yuri Sato and Koji Mineshima
    • Journal Title

      Journal of Logic, Language and Information

      Volume: 24 Issue: 4 Pages: 409-455

    • DOI

      10.1007/s10849-015-9225-4

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Towards explaining the cognitive efficacy of Euler diagrams in syllogistic reasoning: A relational perspective.2014

    • Author(s)
      Koji Mineshima, Yuri Sato, Ryo Takemura, Mitsuhiro Okada.
    • Journal Title

      Journal of Visual Languages and Computing, accepted

      Volume: 25 Issue: 3 Pages: 156-169

    • DOI

      10.1016/j.jvlc.2013.08.007

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Wittgenstein on equinumerosity and surveyability2014

    • Author(s)
      Mathieu Marion and Mitsuhiro Okada
    • Journal Title

      Grazer Philosophische Studien

      Volume: 89 Pages: 59-76

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Presentation] On introduction rules of generalized connectives of multiplicative linear logic2017

    • Author(s)
      Yuki Nishimuta and Mitsuhiro Okadaaa
    • Organizer
      Philosophy of Logic and Mathematics: Towards Philosophy of Proofs
    • Place of Presentation
      Keio University (東京都港区)
    • Year and Date
      2017-01-12
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Normativity, Mormality and Mormalizability of Proofs2017

    • Author(s)
      Mitsuhiro Okada
    • Organizer
      Philosophy of Logic and Mathematics: Towards Philosophy of Proofs
    • Place of Presentation
      Keio University  (東京都港区)
    • Year and Date
      2017-01-12
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] On diagrammatic logic for “most”2017

    • Author(s)
      Koji Mineshima
    • Organizer
      Philosophy of Proofs
    • Place of Presentation
      Keio University (東京都港区)
    • Year and Date
      2017-01-12
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Philosophy of Arithmetic in Wittgenstein2016

    • Author(s)
      Mitsuhiro Okada
    • Organizer
      Wittgenstein Symposium
    • Place of Presentation
      Keio University (神奈川県横浜市)
    • Year and Date
      2016-12-20
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Some remarks on introduction of generalized multiplicative connectives2016

    • Author(s)
      Yuki Nishimuta and Mitsuhiro Okada
    • Organizer
      Univ-Paris 1- Keio U Collaborative Meeting on Philosophy of Logic
    • Place of Presentation
      University of Paris 1 (IHPST) パリ(フランス)
    • Year and Date
      2016-11-11
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Linear logic and philosophy2016

    • Author(s)
      Mitsuhiro Okada
    • Organizer
      Philosophy of Linear Logic
    • Place of Presentation
      University of Lyon リヨン(フランス)
    • Year and Date
      2016-11-08
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Philosophy of Arithmetic in Husserl and Wittgenstein2016

    • Author(s)
      Mitsuhiro Okada
    • Organizer
      Philosophy of Logic Workshop: Kant, Husserl, and Linear Logic”
    • Place of Presentation
      Waseda University, Advanced research Institute (東京都新宿区)
    • Year and Date
      2016-10-21
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Semantics for “Enough-Certainty" and Fitting’s Embedding of Classical Logic in S42016

    • Author(s)
      Gergei Bana and Mitsuhiro Okada
    • Organizer
      Computer science Logic 2016
    • Place of Presentation
      University of Marseille マルセイユ(フランス)
    • Year and Date
      2016-08-28
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A study of multi-attribute decision making and reasoning2016

    • Author(s)
      Takashi Ideno, Masahiro Morii, Mitsuhiro Okada, & Kazuhisa Takemura
    • Organizer
      The 31st International Conference of Psychology
    • Place of Presentation
      Pacifico Yokohama (神奈川県横浜市)
    • Year and Date
      2016-07-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Effects of graphical representation in multi-attribute tables:2016

    • Author(s)
      Masahiro Morii, Takashi Ideno, Mitsuhiro Okada, & Kazuhisa Takemura
    • Organizer
      he 31st International Conference of Psychology
    • Place of Presentation
      Pacifico Yokohama (神奈川県横浜市)
    • Year and Date
      2016-07-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 眼球運動測定による多属性意思決定過程の検討:属性値の図的表現の影響2016

    • Author(s)
      森井真広・井出野尚・竹村和久・岡田光弘
    • Organizer
      第52回消費者行動研究コンファレンス
    • Place of Presentation
      関西学院大学(大阪府大阪市)
    • Year and Date
      2016-06-18
    • Related Report
      2016 Annual Research Report
  • [Presentation] 図的証明を用いた論理教育の試み2016

    • Author(s)
      杉本雄太郎, 岡田光弘
    • Organizer
      平成27年度日本科学教育学会第5回研究会
    • Place of Presentation
      東京学芸大学 (東京都 小金井市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Annual Research Report
  • [Presentation] Normativity and pluralism in logic2016

    • Author(s)
      Pierre Wagner and Mitsuhiro Okada
    • Organizer
      French-Japanese Workshop on Philosophy of Proofs
    • Place of Presentation
      慶應義塾大学 (東京都港区)
    • Year and Date
      2016-01-14
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Combining a type-logical semantics and a wide-coverage statistical parser2016

    • Author(s)
      Koji Mineshima
    • Organizer
      French-Japanese Workshop on Philosophy of Proofs
    • Place of Presentation
      慶應義塾大学 (東京都港区)
    • Year and Date
      2016-01-14
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Normativity in logic2016

    • Author(s)
      Pierre Wagner and Mitsuhiro Okada
    • Organizer
      Philosophy of Proofs
    • Place of Presentation
      慶應義塾大学 (東京都港区)
    • Year and Date
      2016-01-14
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Husserlian Notion of Manifold as Proof-Rewrite Networks and its Extension2015

    • Author(s)
      Mitsuhiro Okada
    • Organizer
      Trends in Proof Theory (Mathematical Society of Germany)
    • Place of Presentation
      Hamburg University, Hamburg, Germany
    • Year and Date
      2015-09-20
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Higher-order logical inference with compositional semantics2015

    • Author(s)
      Koji Mineshima, Pascual Martínez-Gómez, Yusuke Miyao and Daisuke Bekki
    • Organizer
      Conference on Empirical Methods in Natural Language Processing (EMNLP 2015), September 17-21, 2015, Lisbon, Portugal. pp. 2055-2061.
    • Place of Presentation
      Cultguest, Lisbon,Portgal
    • Year and Date
      2015-09-17
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Husserl's universal arithmatic and his proof theoretical view of formal mathematics2015

    • Author(s)
      Mitsuhiro Okada
    • Organizer
      “Philosophy of Mathematics and Proof Theory” Workshop
    • Place of Presentation
      慶應義塾大学 (東京都港区)
    • Year and Date
      2015-09-11
    • Related Report
      2015 Annual Research Report
  • [Presentation] An eye-trucking study of decision-making and reasoning process2015

    • Author(s)
      Takashi Ideno, Masahiro Morii and Mitsuhiro Okada
    • Organizer
      SPUDM25 Subjective Probability, Utility, and Decision Making Conference,
    • Place of Presentation
      Corvinus University, Budapest, Hungary
    • Year and Date
      2015-08-16
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Alternative decision making and logic.2015

    • Author(s)
      Mitsuhiro Okada
    • Organizer
      The 5th Symposium of Biology of Decision Making
    • Place of Presentation
      University of Paris 2, Paris, Frasnce
    • Year and Date
      2015-05-11
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Human Life and Turing Machine2015

    • Author(s)
      岡田光弘
    • Organizer
      Symposium of Symptom of being alive and shared life (Organized by French Embassy of Japan)
    • Place of Presentation
      慶應義塾大学 (東京都・港区)
    • Year and Date
      2015-03-16
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] フッサールの多様体概念2014

    • Author(s)
      岡田光弘
    • Organizer
      日本現象学会
    • Place of Presentation
      東洋大学 (東京都・文京区)
    • Year and Date
      2014-11-29
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Book] Wittgenstein’s Return to Cambridge2017

    • Author(s)
      Mathieu Marion and Mitsuhiro Okada (Chaptet authir), D.Stern(edit.)
    • Total Pages
      32
    • Publisher
      Cambridge University Press
    • Related Report
      2016 Annual Research Report
  • [Book] Context-Passing and Underspecification in Dependent Type Semantics. In S. Chatzikyriakidis and Z. Luo (eds.), Modern Perspectives in Type Theoretical Semantics, Studies of Linguistics and Philosophy,2017

    • Author(s)
      Daisuke Bekki and Koji Mineshima
    • Total Pages
      30
    • Publisher
      Springer
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] Philosophy of Logic and Mathematics: Towards Philosophy of Proofs2017

    • Place of Presentation
      慶應義塾大学 (東京都港区)
    • Year and Date
      2017-01-12
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] French-Japanese Meeting on Philosophy of Proofs2016

    • Place of Presentation
      慶應義塾大学 (東京都港区)
    • Year and Date
      2016-01-14
    • Related Report
      2015 Annual Research Report
  • [Funded Workshop] Philosophy of Arithmetic2016

    • Place of Presentation
      慶應義塾大学 (東京都港区)
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] International Workshop on Logic, Philosophy and Computation of Proofs2015

    • Place of Presentation
      慶應義塾大学 (東京都港区)
    • Year and Date
      2015-11-28
    • Related Report
      2015 Annual Research Report

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Published: 2014-04-04   Modified: 2022-02-16  

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