Rchr
J-GLOBAL ID:200901092540493049   Update date: Feb. 01, 2024

FUCHINO Sakaé

フチノ サカエ | FUCHINO Sakaé
Affiliation and department:
Homepage URL  (1): https://fuchino.ddo.jp
Research field  (2): Applied mathematics and statistics ,  Basic mathematics
Research keywords  (9): Axiomatic Set Theory ,  Model Theory in Extended Logic ,  Forcing ,  Large Cardinals ,  Mathematical Logic ,  Foundation of Mathematics ,  Set-theoretic Topology ,  Application of set theory to algebra ,  Philosophy of Mathematics
Research theme for competitive and other funds  (21):
  • 2020 - 2024 Toward a solution of the Continuum Problem from the point of view of %% set-theoretic multiverse
  • 2013 - 2018 Deepening of the research in set-theoretic topology with forcing and large cardinal properties
  • 2012 - 2017 Invariant structures on medium-size infinite cardinals
  • 2014 - 2016 Research toward a solution of Galvin's conjecture
  • 2009 - 2011 Reflection principles on stationarity and possible extensions of the axiom system of set thoery
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Papers (53):
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MISC (49):
  • 渕野 昌. 計算、証明、有限、無限. 現代思想. 2023. 51. 8. 64-82
  • Sakaé Fuchino. Review of: "Nonlinearity and Illfoundedness in the Hierarchy of Large Cardinal Consistency Strength". 2023
  • 渕野昌. ハウスドルフの集合論と位相空間論の誕生. 数理科学. 2022. 60. 6. 7-18
  • 渕野昌. 論理、この厄介なもの. 現代思想. 2022. 50. 4. 214-229
  • 渕野昌. 集合論と圏. 現代思想. 2020. 48. 9. 83-102
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Books (10):
  • Linear Algebra in Self-confinement I
    2023 ISBN:9784861137280
  • Das Kontinuum: Kritische Untersuchungen Über Die Grundlagen Der Analysis
    Nippon Hyoron Sha 2016
  • Stetigkeit und irrationale Zahlen, Was sind und was sollen die Zahlen?
    2013 ISBN:9784480095473
  • Grundlagen der Mathematik
    Maruzen Shuppan 2012 ISBN:9784621064054
  • ゲーデルと20世紀の論理 第4巻
    東京大学出版会 2007 ISBN:9784130640985
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Lectures and oral presentations  (33):
  • Definability of Laver-generic large cardinals and largeness of generic large cardinals with chain conditions
    (New York Set Theory Seminar 2022)
  • „Mengenlehre“ of Hausdorff and set-theoretic mathematics
    (RIMS Symposium Study of the History of Mathematics 2022)
  • On reflection, hereditarity, andabsoluteness of topological properties
    (RIMS symposium Set-Theoretic and Geometric Topology, and their applications to related fields 2022)
  • On Löwenheim-Skolem number and compactness number of some non first-order logics
    (Kobe Set Theory Seminar 2022)
  • On Magidor’s characterization of supercompact cardinals as Löwenheim-Skolemnumbers of the second-order logic
    (Kobe Set Theory Seminar 2022)
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Education (3):
  • 1979 - 1984 Free University Berlin Department of Mathematics
  • 1977 - 1979 Waseda University Department of Science and Engineering Faculty of Mathematics
  • 1973 - 1977 Waseda University Department of Science and Engineering Faculty of Chemistry
Professional career (2):
  • Dr. rer. nat. (Free University Berlin (Germany))
  • Diplom Mathematik (Free University Berlin (Germany))
Work history (9):
  • 2010/04 - 2020/03 Kobe University Graduate School of System Informatics Professor
  • 2009/10 - 2010/03 Kobe University Graduate School of Engineering Professor
  • 2001/04 - 2009/09 Chubu Univeristy Department of Science and Mathematics Professor
  • 1997/04 - 2001/03 Kitami Institute of Technology Department of Computer Science Professor
  • 1996 - 1997 Freie Universität Berlin Fachbereich für Mathematik und Informatik Privatdozent
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Committee career (1):
  • 1999 - 2000 日本数学会 評議員
Association Membership(s) (4):
European Set Theory Society ,  JAPAN ASSOCIATION FOR PHILOSOPHY OF SCIENCE ,  Deutsche Vereinigung für mathematische Logik und für Grundlagen-Forschung der exakten Wissenschaften ,  THE MATHEMATICAL SOCIETY OF JAPAN
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