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Counting is one of the basic elementary mathematical activities. It comes with two complementary aspects: to determine the number of elements of a set - and to create an ordering between the objects of counting just by counting them over. For finite sets of objects these two aspects are realized by the same type of num bers: the natural numbers. That these complementary aspects of the counting pro cess may need different kinds of numbers becomes apparent if one extends the process of counting to infinite sets. As general tools to determine numbers of elements the cardinals have been created in set theory, and set theorists have in parallel created the ordinals to count over any set of object...
A comprehensive socio-political, economic, and religious history - an important story whose relevance extends beyond the Jewish world or the bounds of east-central Europe.
David Lewis's untimely death on 14 October 2001 deprived the philosophical community of one of the outstanding philosophers of the 20th century. As many obituaries remarked, Lewis has an undeniable place in the history of analytical philosophy. His work defines much of the current agenda in metaphysics, philosophical logic, and the philosophy of mind and language. This volume, an expanded edition of a special issue of the Australasian Journal of Philosophy, covers many of the topics for which Lewis was well known, including possible worlds, counterpart theory, vagueness, knowledge, probability, essence, fiction, laws, conditionals, desire and belief, and truth. Many of the papers are by very established philosophers; others are by younger scholars including many he taught. The volume also includes Lewis's Jack Smart Lecture at the Australian National University, "How Many Lives has Schrödinger's Cat?," published here for the first time. Lewisian Themes will be an invaluable resource for anyone studying Lewis's work and a major contribution to the many topics that he mastered.
Tensor network is a fundamental mathematical tool with a huge range of applications in physics, such as condensed matter physics, statistic physics, high energy physics, and quantum information sciences. This open access book aims to explain the tensor network contraction approaches in a systematic way, from the basic definitions to the important applications. This book is also useful to those who apply tensor networks in areas beyond physics, such as machine learning and the big-data analysis. Tensor network originates from the numerical renormalization group approach proposed by K. G. Wilson in 1975. Through a rapid development in the last two decades, tensor network has become a powerful ...
This Handbook offers an insightful journey through the landscape of research methods used to study the phenomenon of creativity. Offering a methodological panorama for the global community of creativity researchers, contributors provide markers and waypoints to better orient scholars and encourage reflection on how one might produce exceptional research on the burgeoning field of creativity.
The six-volume set LNCS 12742, 12743, 12744, 12745, 12746, and 12747 constitutes the proceedings of the 21st International Conference on Computational Science, ICCS 2021, held in Krakow, Poland, in June 2021.* The total of 260 full papers and 57 short papers presented in this book set were carefully reviewed and selected from 635 submissions. 48 full and 14 short papers were accepted to the main track from 156 submissions; 212 full and 43 short papers were accepted to the workshops/ thematic tracks from 479 submissions. The papers were organized in topical sections named: Part I: ICCS Main Track Part II: Advances in High-Performance Computational Earth Sciences: Applications and Frameworks; ...
Based on the lecture notes of a graduate course given at MIT, this sophisticated treatment leads to a variety of current research topics and will undoubtedly serve as a guide to further studies.
In this volume, the Study Group and the Acquis Group present the first academic Draft of a Common Frame of Reference (DCFR). The Draft is based in part on a revised version of the Principles of European Contract Law (PECL) and contains Principles, Definitions and Model Rules of European Private Law in an interim outline edition. It covers the books on contracts and other juridical acts, obligations and corresponding rights, certain specific contracts, and non-contractual obligations. One purpose of the text is to provide material for a possible "political" Common Frame of Reference (CFR) which was called for by the European Commission's Action Plan on a More Coherent European Contract Law of January 2003.
This edition contains quaestiones 1-5 of book III of the commentary on the Sentences, by Marsilius of Inghen (†1396), the founding rector and first doctor of theology of the University of Heidelberg. These questions are devoted to the Christology, Mariology, and Trinitology, and deal with the issue of the Incarnation of Christ, with quaestiones 1-3 considering it in relation to the individual Persons of the Trinity, and quaestiones 4-5 in relation to the Blessed Virgin Mary. In all questions, Marsilius advocates the via media of sound faith, even above any school traditions.
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