We investigate how weak square principles are denied by Chang’s Conjecture and its generalizations. Among other things we prove that Chang’s Conjecture does not imply the failure of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\square_{\omega_1, 2}}$$\end{document}, i.e. Chang’s Conjecture is consistent with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\square_{\omega_1, 2}}$$\end{document}.

Abstract:Pedro Erber discusses with Naoki Sakai the history of Heidegger's influence on philosophy in Japan.

メタ倫理学、規範倫理学、応用倫理学を体系的に概説した入門書。大学における倫理学教育のミニマム・エッセンスを体系的に学べるユニークなテキスト。.

Minami–Sakai :883–898, 2016) investigated the cofinal types of the Katětov and the Katětov–Blass orders on the family of all \ ideals. In this paper we discuss these orders on analytic P-ideals and Borel ideals. We prove the following:The family of all analytic P-ideals has the largest element with respect to the Katětov and the Katětov–Blass orders.The family of all Borel ideals is countably upward directed with respect to the Katětov and the Katětov–Blass orders. In the course of the proof (...) of the latter result, we also prove that for any analytic ideal \ there is a Borel ideal \ with \. (shrink)

We study the relationship between the semistationary reflection principle and stationary reflection principles. We show that for all regular cardinals Λ ≥ ω₂ the semistationary reflection principle in the space [Λ](1) implies that every stationary subset of $E_{\omega}^{\lambda}\coloneq \{\alpha \in \lambda \,|\,{\rm cf}(\alpha)=\omega \}$ reflects. We also show that for all cardinals Λ ≥ ω₃ the semistationary reflection principle in [Λ](1) does not imply the stationary reflection principle in [Λ](1).

1. Katachi no odissei -- 2. Rinshō no chi -- 3. Aku no tetsugaku nōto 4. Zōho 21-seiki mondaigun ; Jutsugoshū II -- 5. Shūkyō to kagaku; Jinruichi shō -- 6. Shinpen Nihon bunka ni okeru aku to tsumi ; Shōnenba -- 7. Jutsugoteki sekai to seido -- 8. Seishin no fūga -- 9. Shinpen Pasukaru to sono jidai -- 10. Shinpen kindai Nihon ni okeru seido to shisō.

About Japan at the beginning of the postmodernity, through the reading of David Pollack’s Fracture of Meaning and the comment of positions on is history of two young Japanese philosophers : Kôyama Iwao and Kôsaka Masaaki, Naoki Sakai problematise relations between universalism and particulartism. The identity of Japan which dialectise with which of China, exists only as Jar as Japan break loose as a particular object in the Occidental field. The criticism of the West and of modern expressed in (...) its denunciation of the monistic history reveals that all the rhetoric of the anti-modernity is a coverage without principles of all which is modern. Because world is mainly a sphere of heterogeneity and plurality, history has to be interpreted as a synthesis of time and internationalized spaces. (shrink)

Dharmottara, one of the most outstanding commentators of Dharmakīrti, re-uses arguments in the Pramāṇaviniścayaṭīkā, his broad commentary on Dharmakīrti’s Pramāṇaviniścaya, from his independent essay, the Kṣaṇabhaṅgasiddhi. By analyzing contents of re-used arguments in the Pramāṇaviniścayaṭīkā, this paper clarifies Dharmottara’s intention of paraphrasing his arguments in his commentarial work on Dharmakīrti. I argue that, in terms of content, such arguments are original and never fit into Dharmakīrti’s own system. It can be said that Dharmottara has a clear intention to display his (...) new innovations not only in his independent monograph, but also in his commentarial work. For Dharmottara, a commentary on Dharmakīrti is a better place than an independent monograph for showing off his advanced notions, since it is only in a commentary that his ideas can stand out directly against those of Dharmakīrti. In this sense, Dharmottara writes his commentary strategically. At the end of the article I discuss the significance of composing independent monographs or essays in the intellectual history of medieval India in the case of Dharmottara. (shrink)

Translation is an act of articulation that takes place in the social topos of difference or incommensurability. The topos of difference, to which translation is a response, is anterior to the conceptual difference of species or particularities. Yet, translation is often represented as a process of establishing equivalence according to the model of communication. This misapprehension of translation derives from the confusion of the act of translation with its representation. By representing translation that is unrepresentable in itself through the schema (...) of co-figuration, the representation of translation inscribes and re-inscribes the twin figures of languages between which a transfer of information is supposed to have taken place. This whole regime organized around the schema of co-figuration is a historical construct of modernity that has worked powerfully to project national/ethnic languages and the international world, only within which national languages are possible. Our task is to historicize this regime of translation. (shrink)

Is a genuinely consilient concept of human culture possible? I identify some of the major stumbling blocks that prevent mutual illumination between the humanities and evolutionary sciences. Whereas the sciences are often concerned with predictive averages, the arts draw attention to "outliers" that defy general trends. The solution is not to disregard these outliers, but rather to understand the open-ended processes that, by design, produce startling variations. Such open-endedness is an essential part of the evolutionary story, not an insignificant byproduct. (...) Conversely, humanistic scholars have much to gain by engaging, rather than spurning, the evolutionary framework. (shrink)

It is known that there is a close relation between Prikry forcing and the iteration of ultrapowers: If U is a normal ultrafilter on a measurable cardinal κ and 〈Mn, jm,n | m ≤ n ≤ ω〉 is the iteration of ultrapowers of V by U, then the sequence of critical points 〈j0,n | n ∈ ω〉 is a Prikry generic sequence over Mω. In this paper we generalize this for normal precipitous filters.

This article discusses what constituted Japan's conception of the world order, by analyzing political discourse of international order in modern Japan. It has been generally assumed that the Japanese vision of international order in the pre-World War II years was dominated by a belief in the supremacy of the sovereign state. Contrary to the conventional supposition, this paper will argue that modern Japan actually abounded in discourses of transnationalism, and that most of them cannot be seen as the product of (...) liberal ideas but rather the result of an unstable image of the sovereign state system. Surveying the historical development of political discourse of sovereignty and colonial administration in modern Japan, the way in which the ambivalence of Japanese transnationalism had affected the theoretical construction of the international order will be elucidated. Keeping in mind that previous studies on the genealogy of international relations have focused exclusively on the paradigmatic debate over the League of Nations, this article will also pay more attentions to the fact that rearrangement of empire had occupied the significant place in building the image of the world order. Based on the historical considerations mentioned above, the conclusion will offer generalized consideration of what constituteｄ Japan's conception of the world order. (shrink)

The weakly compact reflection principle\\) states that \ is a weakly compact cardinal and every weakly compact subset of \ has a weakly compact proper initial segment. The weakly compact reflection principle at \ implies that \ is an \-weakly compact cardinal. In this article we show that the weakly compact reflection principle does not imply that \ is \\)-weakly compact. Moreover, we show that if the weakly compact reflection principle holds at \ then there is a forcing extension preserving (...) this in which \ is the least \-weakly compact cardinal. Along the way we generalize the well-known result which states that if \ is a regular cardinal then in any forcing extension by \-c.c. forcing the nonstationary ideal equals the ideal generated by the ground model nonstationary ideal; our generalization states that if \ is a weakly compact cardinal then after forcing with a ‘typical’ Easton-support iteration of length \ the weakly compact ideal equals the ideal generated by the ground model weakly compact ideal. (shrink)

The concept of contingency is very much debated. In this paper, I’ll offer a novel interpretation of it in Dharmakīrti’s ontology, focusing on his treatment and understanding of vināśa which is, according to Dharmakīrti, not contingent and thus occurs necessarily to everything. I will do so by clarifying some important terms, motivating and explaining Dharmakīrti’s position, and analyzing firsthand some Dharmakīrtian debate excerpts with Nyāya and/or Vaiśeṣika philosophers as the main opponents. In the course of this, I will show that (...) basically, for Dharmakīrti, contingency is tantamount to dependency, whereas Nyāya and/or Vaiśeṣika authors, e.g., Śrīdhara and Bhāsarvajña, claim that something can be dependent on something else and still be necessary. (shrink)