The introduction of a new analytical method, due fundamentally to François Viète and René Descartes and the later dissemination of their works, resulted in a profound change in the way of thinking and doing mathematics. This change, known as process of algebrization, occurred during the seventeenth and early eighteenth centuries and led to a great transformation in mathematics. Among many other consequences, this process gave rise to the treatment of the results in the classic treatises with the new analytical method, (...) which allowed new visions of such treatises and the obtaining of new results. Among those treatises is the Arithmetic of Diophantus of Alexandria which was written, using the new algebraic language, by the French mathematician Jacques Ozanam, who in addition to profusely increasing the original problems of Diophantus, solved them in a general way, thus obtaining many geometric consequences. The work is handwritten, it has never been published, it has been lost for almost 300 years, and the known references show its importance. We will show that Ozanam’s manuscript was quoted as an important work on several occasions by others mathematicians of the time, among whom G. W. Leibniz stands out. Once the manuscript has been located, our aim in this article is to show and analyze this work of Ozanam, its content, its notation and its structure and how, through the new algebraic method, he not only solved and expanded the questions proposed by Diophantus, but also introduced a connection between the algebraic solutions and what he called geometric determinations by obtaining loci from the solutions. (shrink)
Representation and models have been the focus of considerable interest in philosophy of science for several decades. But the publication in 2008 of Bas van Fraassen’s important book Scientific representation: Paradoxes of perspective gave a novel and strong impetus to the study of their role in the dynamic of scientific knowledge, as attested by the growing quantity of papers and conferences related to representation. In science, knowing necessarily involves representing—phenomena at least and perhaps more for the scientific realist—by means of (...) mathematical structures. Even if these structures are not, as van Fraassen aptly insists, mental ideas, scientific activity is still evolving within the modern Cartesian “épistèmè de la representation” as Michel Foucault famously put it.This book is a welcome collection of exciting papers which grew out of a Workshop on representation and models organized on 11–12 March in Ferrol, at the University of A Coruña . Most papers are devoted to .. (shrink)
Cognitive reappraisal is an important emotion regulation strategy that shows considerable developmental change in its use and effectiveness. This paper presents a systematic review of the evidence base regarding the development of cognitive reappraisal from early childhood through adolescence and provides methodological recommendations for future research. We searched Scopus, PsycINFO, and ERIC for empirical papers measuring cognitive reappraisal in normative samples of children and youth between the ages of 3 and 18 years published in peer-reviewed journals through August 9th, 2018. (...) We identified 118 studies that met our inclusion criteria. We first present a quantitative review of the methodologies used to investigate cognitive reappraisal in children and adolescents, with attention to variations in methodologies by the sample age range. We then present a qualitative review of findings with attention to: the age at which children begin to effectively use cognitive reappraisal to regulate their emotions, and developmental changes in cognitive reappraisal from early childhood through adolescence. We consider how methodological differences may contribute to inconsistencies in findings, highlight gaps in the literature that remain to be addressed, and make recommendations for future directions. (shrink)
In this bold addition to Oxford's What Everyone Needs to Know® series, John L. Esposito and Natana DeLong-Bas offer a guide to the often-discussed but seldom-understood concept of Sharia, responding to misunderstandings and distortions, as well as providing answers to questions about the origin, nature, and content of Sharia.
From Greco-Roman antiquity through to European enlightenment, philosophy and religious thought were inseparably interwoven. This book explores intellectual worlds of Abrahamic religious traditions, their approaches to scriptural hermeneutics, and their interaction over many centuries on common ground of inheritance of classical Greek philosophy.
A one-day educational intervention with multiple activities was developed and operationalized with a sample of Chinese business students in Hong Kong, China. Its effectiveness in influencing students’ corporate social responsibility orientation was measured with a Chinese version of a forced choice scale using Economic, Legal, Ethical, and Discretionary dimensions by Carroll. A repeated measures multivariate analysis of variance showed significant differences in the Legal and Discretionary dimensions between the post-test Experimental group and Control group ; in the Legal, Ethical, and (...) Discretionary dimensions within the pre-post X group. Such significant differences may be explained by the content of the activities, especially the service learning component. Overall, the intervention appeared effective in influencing students’ CSRO within a Chinese context. Since it was designed upon Western CSR literature, its applicability goes beyond the Chinese community. (shrink)
: Results of a search for the electroweak associated production of charginos and next-to-lightest neutralinos, pairs of charginos or pairs of tau sleptons are presented. These processes are characterised by final states with at least two hadronically decaying tau leptons, missing transverse momentum and low jet activity. The analysis is based on an integrated luminosity of 20.3 fb−1 of proton-proton collisions at recorded with the ATLAS experiment at the Large Hadron Collider. No significant excess is observed with respect to the (...) predictions from Standard Model processes. Limits are set at 95% confidence level on the masses of the lighter chargino and next-to-lightest neutralino for various hypotheses for the lightest neutralino mass in simplified models. In the scenario of direct production of chargino pairs, with each chargino decaying into the lightest neutralino via an intermediate tau slepton, chargino masses up to 345 GeV are excluded for a massless lightest neutralino. For associated production of mass-degenerate charginos and next-to-lightest neutralinos, both decaying into the lightest neutralino via an intermediate tau slepton, masses up to 410 GeV are excluded for a massless lightest neutralino.[Figure not available: see fulltext.]. (shrink)
Bu metnin gayesi, dil felsefesi, mantık ve ontoloji alanlarında ortak olarak karşılaşılan boş adlar problemini ele almaktır. Metinde, çağdaş semantik kuramlarının ve dil felsefesinin ortaya çıkışında önemli rolü olan J. S. Mill’in özel adlar üzerine düşüncelerinden başlanarak, analitik felsefenin temelini atan, köşe taşları diyebileceğimiz G. Frege ve B. Russell’ın semantik kuramlarına değinilecektir. Daha sonra, kendi dil felsefesi pozisyonunu bu iki isimin eleştirisi üzerinden kurgulayan S. Kripke’nin, bu isimlere karşı olan argümanları incelenecektir. Metinde, bu incelemeyi gerçekleştirdikten sonra, S. Kripke ve B. (...) Russell’ın dil felsefesinde savundukları pozisyonlar ile onların ortaya koydukları mantık modellerinin arasındaki ilişki ele alınacaktır. Nihai olarak, dil felsefesi, mantık ve ontolojinin sınırlarının ne kadar iç içe geçmiş olduğu, ismi geçen filozofların dil felsefesindeki kuramlarının ontolojik çıktıları incelenerek ortaya konulacaktır. (shrink)
We present some techniques in c.c.c. forcing, and apply them to prove consistency results concerning the isomorphism and embeddability relations on the family of ℵ 1 -dense sets of real numbers. In this direction we continue the work of Baumgartner [2] who proved the axiom BA stating that every two ℵ 1 -dense subsets of R are isomorphic, is consistent. We e.g. prove Con). Let K H , be the set of order types of ℵ 1 -dense homogeneous subsets of (...) R with the relation of embeddability. We prove that for every finite model L , : Con iff L is a distributive lattice. We prove that it is consistent that the Magidor-Malitz language is not countably compact. We deal with the consistency of certain topological partition theorems. E.g. We prove that MA is consistent with the axiom OCA which says: “If X is a second countable space of power ℵ 1 , and { U 0 ,\h.;, U n−1 } is a cover of D ▪ X x X -} x,x> ¦ x ϵ X } consisting of symmetric open sets, then X can be partitioned into { X i \brvbar; i ϵ ω } such that for every i ϵ ω there is l such that D ⊇ U l ”. We also prove that MA+OCA [xrArr] 2 ℵ 0 = ℵ 2. (shrink)
These are the proceedings of the Workshop on Quantum Logic held in Erice (Sicily), December 2 - 9, 1979, at the Ettore Hajorana Centre for Scientific Culture. A conference of this sort was originally proposed by Giuliano Toraldo di Francia, who suggested the idea to Antonino Zichichi, and thus laid the foundation for the Workshop. To both of them we express our appreciation and thanks, also on behalf of the other participants, for having made this conference possible. There were approximately (...) fifty participants; their names and institutions are listed in the text. Quantum logic, which has now a history of some forty or more years, has seen remarkable growth during the sixties and seventies. The papers in the present volume presuppose, by and large, some acquaintance with the elements of the subject. These may be found in the well-known books by J.H. Jauch (Foundations of Quantum Hechanics; Reading, 1968), V.S. Varadarajan (Geometry of Quantum Theory: Princeton, 1968), and C. Piron (Foundations of Quantum Theory; New York, 1976). The initial program for the conference listed about twenty-five invited papers. But in the context of a very active and qualified attendance, other contributions were offered. This volume contains all of them. The program listed six main topics: I. Classification or different areas of quantum logic, and open problems. II. Comparison and unification of different approaches to quantum theories; problems of interpretation. III. Formal quantum logic; axiomatics. IV. Hodal interpretations of quantum logic. v vi FOREWORD V. Quantum set theory. (shrink)
17/02/2005 Synthèse du mémoire de la maîtrise soutenue en juin 1998 sous la direction de J.-P. Fruit et P. Clergeot à l’Université de Paris I Panthéon-Sorbonne. Les aspects spatiaux sont la traduction privilégiée des mutations de la ruralité en Europe et sont au cœur d’une approche géographique de ces récentes évolutions. Au sein de l’Union Européenne, les Pays-Bas sont l’un des pays les plus sensibles aux enjeux fonciers, en raison de p...
The main notion dealt with in this article is where A is a Boolean algebra. A partition of 1 is a family ofnonzero pairwise disjoint elements with sum 1. One of the main reasons for interest in this notion is from investigations about maximal almost disjoint families of subsets of sets X, especially X=ω. We begin the paper with a few results about this set-theoretical notion.Some of the main results of the paper are:• (1) If there is a maximal family (...) of size λ≥κ of pairwise almost disjoint subsets of κ each of size κ, then there is a maximal family of size λ of pairwise almost disjoint subsets of κ+ each of size κ.• (2) A characterization of the class of all cardinalities of partitions of 1 in a product in terms of such classes for the factors; and a similar characterization for weak products.• (3) A cardinal number characterization of sets of cardinals with a largest element which are for some BA the set of all cardinalities of partitions of 1 of that BA.• (4) A computation of the set of cardinalities of partitions of 1 in a free product of finite-cofinite algebras. (shrink)
