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.

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}.

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)

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

By formalizing Berry's paradox, Vopěnka, Chaitin, Boolos and others proved the incompleteness theorems without using the diagonal argument. In this paper, we shall examine these proofs closely and show their relationships. Firstly, we shall show that we can use the diagonal argument for proofs of the incompleteness theorems based on Berry's paradox. Then, we shall show that an extension of Boolos' proof can be considered as a special case of Chaitin's proof by defining a suitable Kolmogorov complexity. We shall show (...) also that Vopěnka's proof can be reformulated in arithmetic by using the arithmetized completeness theorem. (shrink)

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)

The purpose of this paper is to analyze the financial turmoil of the US subprime loan crisis of mid-Noughties and to compare it with the Japanese asset bubble of late 1980s. While examining the two crises, it compares the monetary policies of both countries, focusing on the excess liquidity and expansion of bank loans that were seen. This paper develops several bubble indicators, including the ratio of real estate loans to total loans, the loan-to-GDP ratio, and housing affordability. In order (...) to develop these indicators, it is necessary to compare banking behavior in both Japan and the United States, as banks in both countries were making loans beyond the point of profit maximization. Property prices and monetary policy in both countries influenced banking behavior significantly. The bubble indicators developed in this paper can be used as early warning indicators for future bubbles. (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)

This collection addresses a post-WWII shift in the hierarchy of scientific explanations, where the highest goal moves from reductionism towards some ...

In much of the current academic and public discussion, conspiracy theories are portrayed as a negative phenomenon, linked to misinformation, mistrust in experts and institutions, and political propaganda. Rather surprisingly, however, philosophers working on this topic have been reluctant to incorporate a negatively evaluative aspect when either analyzing or engineering the concept conspiracy theory. In this paper, we present empirical data on the nature of the concept conspiracy theory from five studies designed to test the existence, prevalence and exact form (...) of an evaluative dimension to the ordinary concept conspiracy theory. These results reveal that, while there is a descriptive concept of conspiracy theory, the predominant use of conspiracy theory is deeply evaluative, encoding information about epistemic deficiency and often also derogatory and disparaging information. On the basis of these results, we present a new strategy for engineering conspiracy theory to promote theoretical investigations and institutional discussions of this phenomenon. We argue for engineering conspiracy theory to encode an epistemic evaluation, and to introduce a descriptive expression—such as ‘conspiratorial explanation’—to refer to the purely descriptive concept conspiracy theory. (shrink)

Affective theory of mind (aToM) impairments associated with the youth antisocial phenotype callous-unemotional (CU) traits predict antisocial behaviour above CU traits alone. Importantly, CU traits associate with decrements in complex but not basic aToM. aToM is modulated by cognitive control and CU traits associate with cognitive control impairments; thus, cognitive control is a plausible mechanism underlying aToM impairments in CU traits. Because cognitive control is dependent on the availability of cognitive resources, youth with CU traits may have difficulty with allocating (...) cognitive resources under greater demands that impact complex aToM. To test this, 81 participants (ages 12–14, Female = 51.8%, Male = 48.2%) were recruited to complete a behavioural paradigm that involved an initial aToM task with complex and basic emotions followed by placing additional demands on cognitive control and a final repeat of the same aToM task. Results indicate adolescents higher in CU traits had intact basic aToM but less accuracy in complex aToM that worsened after taxing cognitive control; and this load only required a short duration to account for ToM decrements (200 ms [range 150–1600 ms]). These results demonstrate CU traits association with cognitive control limitations that impact complex aToM. This may partially explain antisocial behaviour associated with CU traits. (shrink)

This article contributes to the revision of the procedure of robustness analysis of mathematical models in epistemic democracy using the systematic review method. It identifies the drawbacks of robustness analysis in epistemic democracy in terms of sample universality and inference from samples with the same results. To exemplify the effectiveness of systematic review, this article conducted a pilot review of diversity trumps ability theorem models, which are mathematical models of deliberation often cited by epistemic democrats. A review of nine models (...) extracted from 352 papers exemplifies the effectiveness of robustness analysis supplemented by systematic review in epistemic democracy. (shrink)

Contingency is the presence of non-actualized possibility in the world. Fatalism is a view of reality on which there is no contingency. Since it is contingency that permits agency, there has traditionally been much interest in contingency. This interest has long been embarrassed by the contention that simple and plausible assumptions about the world lead to fatalism. I begin with an Aristotelian argument as presented by Richard Taylor. Appreciation of this argument has been stultified by a question pertaining to the (...) source of necessity and possibility and a closely related one regarding the nature of metaphysics itself. Answering these questions reveals the crucial issue here, to wit, necessity and possibility in a temporal world. This issue is investigated through an important later criticism of Taylor by David Foster Wallace. Wallace’s critique is significant because it brings to the fore the pivotal notion for understanding contingency in a temporal world, that of synchronic possibility, the idea that incompatible states of affairs are possible at a single moment. This notion provides the basis of distinguishing two systematic accounts of truth, modality and time: two metaphysics of contingency. On one account, Taylor’s Aristotelian argument is straightforwardly valid and compelling; on the other, it is fallacious. In closing, I present reasons why the former account, supporting the Aristotelian views of time and truth, is correct and make some comments to ameliorate this conclusion. (shrink)

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。.

新型コロナ対策でも注目された科学者の倫理とは? AI時代に科学とどう向き合うべきか? 最先端の研究をわかりやすく解説する。.