Building on Nietzsche’s view of power, Foucault developed an original analysis of power by making use of concepts like “disciplinary power,” “bio-power,” “governmentality,” etc.; however, existing studies have not sufficiently examined his reading of Nietzsche’s works on this topic. Therefore, in order to clarify the connection between the two, this article examines Foucault’s reading of Nietzsche in detail. Firstly, this article examines the notion of “force” which Foucault recognized is at the center of Nietzsche’s view of power, and will explicitly (...) shows its conceptual determinations. In doing so, this paper will also clarify related notions such as “event,” “body” and “history,” and thus bring to light the general principle of force. In addition, Foucault focused on the point at which Nietzsche—using these principles—radically reinterpreted a central concept of human intellectual activity, namely knowledge. Therefore, this article secondly examines how knowledge is formed under the principle of force, and explicitly shows the general mechanism of knowledge. Finally, the article explains that Nietzsche’s view of power is understood by Foucault as the duality between force and knowledge; in other words, as an ontology of force. (shrink)

日本、中国、韓国はそれぞれの伝統に依拠しつつ西洋哲学を受容することで近代哲学を形成してきた。哲学や思想における特徴や制限は、他の思想を鏡として、そこに映し出すことで明らかになる。なぜ違いが生まれたのか 。互いの違いをどう克服するのか。西田幾多郎、吉田松陰、九鬼周造、西周、和辻哲郎、土田杏村、大西克礼、戸坂潤...。受容から対話へと続く道から、いま、東アジアにおける哲学的創造の新たな意義と可能性が拓か れる。.

" L'argent est l'envers de toutes les images que le cinéma montre et monte à l'endroit " écrit Gilles Deleuze dans le deuxième volet de Cinéma. Le capital est toujours derrière le cinéma. Le Capital hante Cinéma du début à la fin. C'est donc une lecture marxiste du diptyque composé de L'Image-mouvement et L'Image-temps que propose Jun Fujita dans Ciné-capital. Comment fonctionne le mode de production ciné-capitaliste? Comment celui-ci fait-il produire de la plus-value aux images? Pourquoi et comment s'approprie-t-il (...) le travail même du spectateur? En quel sens peut-on soutenir qu'Eisenstein et Hitchcock ont anticipé l'arrivée de la New Economy des années 1990 (dématérialisation du travail et financiarisation de l'économie)? Quand et comment les images s'insurgent-elles contre l'exploitation ciné-capitaliste? Comment se mettent-elles à valoir pour elles-mêmes? Pourquoi le cinéma politique, depuis Straub et Huillet, a-t-il cessé de privilégier le tournage au bord de la mer? Qu'est-ce qui permet à Deleuze d'affirmer qu'Ozu est un cinéaste de gauche? Telles sont quelques-unes des questions abordées dans Ciné-capital. (shrink)

Let f be a computable function from finite sequences of 0ʼs and 1ʼs to real numbers. We prove that strong f-randomness implies strong f-randomness relative to a PA-degree. We also prove: if X is strongly f-random and Turing reducible to Y where Y is Martin-Löf random relative to Z, then X is strongly f-random relative to Z. In addition, we prove analogous propagation results for other notions of partial randomness, including non-K-triviality and autocomplexity. We prove that f-randomness relative to a (...) PA-degree implies strong f-randomness, hence f-randomness does not imply f-randomness relative to a PA-degree. (shrink)

We consider weak theories of concatenation, that is, theories for strings or texts. We prove that the theory of concatenation WTC-ε\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathsf{WTC}^{-\varepsilon}}$$\end{document}, which is a weak subtheory of Grzegorczyk’s theory TC-ε\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathsf{TC}^{-\varepsilon}}$$\end{document}, is a minimal essentially undecidable theory, that is, the theory WTC-ε\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathsf{WTC}^{-\varepsilon}}$$\end{document} is essentially undecidable and if one omits an axiom scheme from WTC-ε\documentclass[12pt]{minimal} \usepackage{amsmath} (...) \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathsf{WTC}^{-\varepsilon}}$$\end{document}, then the resulting theory is no longer essentially undecidable. Moreover, we give a positive answer to Grzegorczyk and Zdanowski’s conjecture that ‘The theory TC-ε\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathsf{TC}^{-\varepsilon}}$$\end{document} is a minimal essentially undecidable theory’. For the alternative theories WTC\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathsf{WTC}}$$\end{document} and TC\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathsf{TC}}$$\end{document} which have the empty string, we also prove that the each theory without the neutrality of ε\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\varepsilon}$$\end{document} is to be such a theory too. (shrink)

東洋の思想的な伝統を踏まえ、広い視野で哲学の新しい眺望を切り開いた『善の研究』。難解で知られるこの名著を丁寧に、深く掘り下げて読み解く西田哲学入門。 『善の研究』は西田の最初の著作ながら、晩年に至るまでの思索全体を貫く考え方が示されている主著。その魅力は、西洋の哲学と格闘しながら、その不十分性を乗り越えて物事の真相に迫ろうとする西田の思いがそのまま 表現されている点にある。仏教や儒教など、東洋の思想的な伝統をも踏まえた広い視野で哲学の世界に新しい眺望を切り開いた本書の面白さや意義を分かりやすく解説。西田の思考を丁寧に読み解き、西田が何を語ろうとし たのかを深く掘り下げて明らかにする、格好の西田哲学入門。.

膨大な資料をもとに魅力あふれる西田の素顔を描きだし、彼の言葉に豊かな広がりを与える決定的評伝。.

To compare two randomness notions with each other, we ask whether a given randomness notion can be defined via another randomness notion. Inspired by Yu's pioneering study, we formalize our question using the concept of relativization of randomness. We give some solutions to our formalized questions. Also, our results include the affirmative answer to the problem asked by Yu in a discussion with the second author, i.e., whether Schnorr randomness relative to the halting problem is equivalent to Martin‐Löf randomness relative (...) to all low 1‐generic reals. (shrink)

This paper applies Dehornoy et al.’s Z theorem and its variant, called the compositional Z theorem, to prove confluence of Parigot’s \-calculi extended by the simplification rules. First, it is proved that Baba et al.’s modified complete developments for the call-by-name and the call-by-value variants of the \-calculus with the renaming rule, which is one of the simplification rules, satisfy the Z property. It gives new confluence proofs for them by the Z theorem. Secondly, it is shown that the compositional (...) Z theorem can be applied to prove confluence of the call-by-name and the call-by-value \-calculi with both simplification rules, the renaming and the \-rules, whereas it is hard to apply the ordinary parallel reduction technique or the original Z theorem by one-pass definition of mappings for these variants. (shrink)