A proof is given for the theorem that at least one bound state exists in a one-dimensional attractive potential however weak it may be. The proof is constructive in that it provides a method to explicitly solve the eigenvalue problem for the eigenvalues as well as the eigenfunctions. The method is well suited to precise numerical calculations.

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}.

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)

In this paper we will study a formal system of intuitionistic modal predicate logic. The main result is its semantic completeness theorem with respect to algebraic structures. At the end of the paper we will also present a brief consideration of its syntactic relationships with some similar systems.

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).

This book explores the contributions of East Asian traditions, particularly Buddhism and (Euro)Daoism, to environmental philosophy. It critically examines the conceptions of human responsibility toward nature and across time presented within these traditions as well as in European philosophy. The volume rethinks human relationships to the natural world by focusing on three main themes: Daoist and Eurodaoist perspectives on nature, human responsibility toward nature, and Buddhist perspectives on life and nature. By way of discussing East Asian traditions and European thinkers, (...) this collection reveals that the impact of humanity on the environment is shaped not only by distinctive modes of economic production, but also by cultural beliefs and practices. Representing a unique constellation of environmental and intercultural philosophy, the contributions present systematic approaches to the global need for cultivating environmental responsibility across cultures and generations to address the political, ethical, and aesthetic challenges arising from humanity’s transformative impact on the natural world. (shrink)

The primary objective of this anthology is to make intergenerational justice an issue for intercultural philosophy, and, conversely, to allow the latter to enrich the former. In times of large-scale environmental destabilization, fair- ness between generations is an urgent issue of justice across time, but it is also a global issue of justice across geographical and nation-state borders. This means that the future generations envisioned by the currently living also cross these borders. Thus, different philosophical cultures and traditions of thought (...) should converse to re ect on what is fair to future people. In the remainder of this introduction, we will detail these claims and give an overview of the volume’s chapters. (shrink)

This paper presents a new method that improves robustness of real-coded Genetic Algorithm (GA) for function optimization. It is reported that most of crossover operators for real-coded GA have sampling bias, which prevents to find the optimum when it is near the boundary of search space. They like to search the center of search space much more than the other. Therefore, they will not work on functions that have their optima near the boundary of the search space. Although several methods (...) have been proposed to relax this sampling bias, they could not cancel whole bias. In this paper, we propose a new method, Toroidal Search Space Conversion (TSC), to remove this sampling bias. TSC converts bounded search space into toroidal one without any parameter. Experimental results show that a GA with TSC has higher performance to find the optimum near the boundary of search space and the GA has more robustness concerning the relative position of the optimum. (shrink)

In this paper, we study the relationship among classical logic, intuitionistic logic, and quantum logic . These logics are related in an interesting way and are not far apart from each other, as is widely believed. The results in this paper show how they are related with each other through a dual intuitionistic logic . Our study is completely syntactical.

We give simple proofs of the Singular Cardinal Hypothesis from the Weak Reflection Principle and the Fodor-type Reflection Principle which do not use better scales.

La « science des mœurs » entreprend d’étudier l’homme en passant par l’observation et l’expérience. Au xviiie siècle, elle se propose d’appliquer une méthode nouvelle à un objet jusqu’alors réservé aux métaphysiciens ou aux moralistes. Or, une telle proposition ne va pas sans poser problème.-.

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.

The mitogenic action of cytokines such as epidermal growth factor (EGF)d̊ or platelet dericed growth factor (PDGF) involves the stimulation of a signal cascade controlled by a small G protein called Ras. Mutations of Ras can cause its constitutive activation and, as a consequence, bypass the regulation of cell growth by cytokines. Both growth factor‐induced and oncogenic activation of Ras involve the conversion of Ras from the GDP‐bound (D‐Ras) to the GTP‐bound (T‐Ras) forms. T‐Ras activates a network of protein kinases (...) including c‐Mos, c‐Raf‐1 and MAP kinase. Eventually the activation of MAP kinase leads to the activation of the elongation factor 4E and several transcription factors such as c‐Jun, c‐Myc and c‐Fos. There are several modulators of Ras activity, such as the GTPase activating proteins (GAP1 and NF1), which stimulate the coversion of T‐Ras to D‐Ras. A series of small NF1 fragments, which bind T‐Ras, as well as truncated forms or derivatives of c‐Raf‐1, c‐Jun and c‐Myc, are capable of blocking the T‐Ras‐activated mitogenesis in a competitive manner. These agents offer a unique opportunity to control the proliferation of T‐Ras‐associated tumors, which represent more than 30% of total human carcinomas. (shrink)

dai 1-kan. Ningen, kyōiku ga umarekawaru tame -- dai 2-kan. Ningen to no deai, kyōiku to no deai -- dai 3 kan. Ningenrashiku naru tedate -- dai 4-kan. Jinrui no kibō, osanago -- dai 5-kan. Shishū, ushinawareta kisetsu o motomete -- dai 6-kan. Aru mazushiki shōgai no kiroku -- [7] Kyōiku to kyōikugaku.

It has been reported as a robust effect that people are likely to select a matching case in the Wason selection task. For example, they usually select the 5 case, in the Wason selection task with the conditional "if an E, then a not-5". This was explained by the matching bias account that people are likely to regard a matching case as relevant to the truth of the conditional (Evans, 1998). However, because a positive concept usually constructs a smaller set (...) than its negative one does (a rarity assumption), it is more effective to get information on the truth of the conditional in a positive set than in a negative set. Thus the optimal data selection account can also explain the effect. The set size of Q and matching by introducing negation were manipulated independently in four experiments. From the results it was inferred that the so-called matching bias was an amalgam of two different cognitive components-relevance judgement by matching and optimal data selection. (shrink)