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)

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)

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)

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)

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。.