次のレクチャーの予定をこのMLで流させていただきます。
岡田光弘(慶応義塾大学文学部哲学専攻)
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*ジラール教授(Jean-Yves GIRARD)連続講義 (9月25日、10月2日, Sept 25th,Oct.2nd, Keio Univ.)*
*Lecture**“LOGIC 2.0 : A derealistic refoundation of logic” *
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Abstract attached below アブストラクトは下をご覧ください。
1回目:9月25日(火) Sept.25th, 18:00-19:30, Lecture 1 and discussion.
2回目:10月2日(火) Oct.2nd, 17:00-19:00, Lecture 2 and extended discussion,.
慶應義塾大学三田キャンパス 大学院校舎1階313番教室, Room 313 Graduate School Building, Mita Campus, Keio University
(大学院校舎は下記キャンパスマップの8です)
Mita Campus, Keio University, Classroom 313, 1F of Graduate School Building
(Number 8 of the Campus Map below)
構内図Campus Map: https://www.keio.ac.jp/en/maps/mita.html
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招聘講師/ Invited Lecturer:
ジャン=イヴ ジラール 教授 (フランス国立科学センターCNRS名誉主任研究員、マルセイユ数学研究所)
Prof. Jean-Yves GIRARD (Directeur de Recherches émérite, CNRS-IMM)
題目/ Title:
LOGIC 2.0 : A derealistic refoundation of logic
See below for ABSTRACT (アブストラクトは下にあります。)
お問い合わせ先:
慶應義塾大学文学部 岡田光弘研究室
東京都港区三田2−15−45
Email(事務局): [email protected]
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アブストラクト/ABSTRACT
LOGIC 2.0 : A derealistic refoundation of logic.
Logic is based upon a doubt as to « reality », not to speak of authority. This is why axiomatic realism, a.k.a. Tarskism, at work in familiar (1.0) logic is a miscarriage of logical rationality. We propose to replace the trinity Syntax/Semantics/Meta, with an architecture based upon the synthetic a posteriori : « l’usine » (the factory) and its proofnets. We thus replace the nets of logic with the logic of nets.
Among the technical novelties, the self-dual propositional constants フand ヲwhose multiplicative combinations define natural numbers. Since equality becomes logical equivalence, natural numbers provide pairwise contradictory propositions, which is classically inconsistent : a conjunction can thus be true while one of its components is false.Truth, which no longer proceeds from the Sky, is governed by the Euler-Poincaré invariant of graphs, with a derealistic switch : the invariant depends upon the divide between objective and subjective vertices. Derealism thus accomplishes a spectacular jailbreak from Tarskism!
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