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---------- Forwarded message ---------- CAPE Truth theory and Logic Workshopのお知らせ
皆様
京都大学大学院文学研究科附属応用哲学・倫理学教育研究センター(CAPE)の主催にて、 CAPE Truth theory and Logic Workshopが下記のように開催されます。 今回は特別講演として、ブリストル大学のPhilip Welch先生に、チューリングの 数学の業績に関する一般向け講演(元々は6'th European Cogress of Mathematics で行われたもの)をお願いしました(1600-1745の最終枠です)。 専門家以外の方も、ぜひお越し下さい。
京都大学大学院文学研究科附属 応用哲学・倫理学教育研究センター http://www.bun.kyoto-u.ac.jp/cape/cape-top_page/ 事務補佐 竹中利彦 〒606-0085 京都市左京区吉田本町 京都大学文学部内 [email protected]
**************************************************************************************** CAPE Truth theory and Logic Workshop
Date: February 13 (Wed) 9:00-17:00, Place: The 8th lecture room, "Research Bldg. No. 2 (Sougou Kenkyu 2-Goukan)" of Kyoto University, No34 of the map in http://www.kyoto-u.ac.jp/en/access/campus/main.htm (京都大学総合研究2号館第8講義室) CAPE Website: http://www.bun.kyoto-u.ac.jp/cape/cape-top_page/
Timetable: 9:00-10:15 Shunsuke Yatabe "Yablo paradox and semantics of coinductive language" 10:30-11:45 Graham E. Leigh "Global reflection and theories of truth"
13:15-14:30 Katsuhiko Sano "What is the corresponding first-order logic to coalgebraic modal logic?" 14:30-15:45 Leon Horsten " One hundred years of semantic paradox" 16:00-17:15 Philip Welch "Alan Turing's Mathematical work"
Abstracts:
Shunsuke Yatabe (Kyoto University) title: Yablo paradox and semantics of coinductive language Abstract: We generalize the framework of Barwise and Etchmendy's "the liar" to that of coinductive language, and focus on a difficulty of constructing semantics. We define a game theoretic semantics, which can be regarded as a version of Austin semantics.
Graham E. Leigh (University of Oxford) title: Global reflection and theories of truth Abstract: This talk explores the relationship between the global reflection principle ("If A is provable, A is true") and its arithmetic cousins ("If A is provable then A"). I will provide a proof-theoretic analysis of a number of axiomatic theories of truth expanded by transfinite hierarchies of reflection principles.
Katsuhiko Sano (School of Information Science, Japan Advanced Institute of Science and Technology) title: What is the corresponding first-order logic to coalgebraic modal logic? Abstract: It is well-known that modal logic over Kripke models can be regarded as the bisimulation-invariant fragment of first-order logic, where the notion of bisimulation tells us when given two Kripke models are `similar' with each other. This is called Van Benthem's characterization theorem. The main aim of this talk is to propose a corresponding first-order syntax with Van Benthem-style characterization to coalgebraic modal logic, a uniform framework to cover modal logic over Kripke models, modal logic over neighborhood models, graded modal logic, probabilistic modal logic, etc. This talk focuses on a conceptual background to explain our strategy of finding a corresponding FO syntax for coalgebraic modal logic. A key idea consists in Arthur Prior's early idea of hybrid logic (esp. modal operators for pointed truth) and C. C. Chang's FO syntax for neighborhood models. This talk is based on a joint work with Dirk Pattinson (ANU), Tadeusz Litak (Friedrich-Alexander University of Erlangen and Nuremberg (FAU)), and Lutz Schroeder (FAU).
Leon Horsten (University of Bristol) title: One hundred years of semantic paradox Abstract: This article contains an overview of the main problems, themes and theories relating to the semantic paradoxes in the twentieth century. From this historical overview I tentatively draw some lessons about the way in which the field may evolve in the next decade.
Philip Welch (University of Bristol) title: Alan Turing's Mathematical work
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