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Author: Peter J. Morgan Publisher: Wipf and Stock Publishers ISBN: 1532686226 Category : Religion Languages : en Pages : 208
Book Description
Everyone has experienced pain. No one is immune from loss and suffering. With all of the evil in this world, how can anyone rationally believe in a good and loving God? People who believe in God experience intense evil, yet they still retain their faith, claiming that God helps them in times of need. Still others claim that this same evil is proof that God does not exist; that if God were real, he would limit the suffering. If you have ever thought that it seems that things should be a certain way, that you are inclined toward believing, or not believing, in God because of the existence of evil, you are part of the conversation of the abductive problem of evil. This book does more than just explore what modern philosophers on both sides of the aisle have claimed about God and evil. It also illuminates an intricate world that is crafted for people having free will, for people who make moral choices. For it is within the realm of this intricate world that we may find the answers we seek.
Author: Peter J. Morgan Publisher: Wipf and Stock Publishers ISBN: 153268620X Category : Religion Languages : en Pages : 182
Book Description
Everyone has experienced pain. No one is immune from loss and suffering. With all of the evil in this world, how can anyone rationally believe in a good and loving God? People who believe in God experience intense evil, yet they still retain their faith, claiming that God helps them in times of need. Still others claim that this same evil is proof that God does not exist; that if God were real, he would limit the suffering. If you have ever thought that it seems that things should be a certain way, that you are inclined toward believing, or not believing, in God because of the existence of evil, you are part of the conversation of the abductive problem of evil. This book does more than just explore what modern philosophers on both sides of the aisle have claimed about God and evil. It also illuminates an intricate world that is crafted for people having free will, for people who make moral choices. For it is within the realm of this intricate world that we may find the answers we seek.
Author: Anatolij Ivanovic Mal'cev Publisher: Springer Science & Business Media ISBN: 364265374X Category : Mathematics Languages : en Pages : 331
Book Description
As far back as the 1920's, algebra had been accepted as the science studying the properties of sets on which there is defined a particular system of operations. However up until the forties the overwhelming majority of algebraists were investigating merely a few kinds of algebraic structures. These were primarily groups, rings and lattices. The first general theoretical work dealing with arbitrary sets with arbitrary operations is due to G. Birkhoff (1935). During these same years, A. Tarski published an important paper in which he formulated the basic prin ciples of a theory of sets equipped with a system of relations. Such sets are now called models. In contrast to algebra, model theory made abun dant use of the apparatus of mathematical logic. The possibility of making fruitful use of logic not only to study universal algebras but also the more classical parts of algebra such as group theory was dis covered by the author in 1936. During the next twenty-five years, it gradually became clear that the theory of universal algebras and model theory are very intimately related despite a certain difference in the nature of their problems. And it is therefore meaningful to speak of a single theory of algebraic systems dealing with sets on which there is defined a series of operations and relations (algebraic systems). The formal apparatus of the theory is the language of the so-called applied predicate calculus. Thus the theory can be considered to border on logic and algebra.
Author: Benjamin Fine Publisher: Walter de Gruyter GmbH & Co KG ISBN: 3110673401 Category : Mathematics Languages : en Pages : 339
Book Description
This book gives an advanced overview of several topics in infinite group theory. It can also be considered as a rigorous introduction to combinatorial and geometric group theory. The philosophy of the book is to describe the interaction between these two important parts of infinite group theory. In this line of thought, several theorems are proved multiple times with different methods either purely combinatorial or purely geometric while others are shown by a combination of arguments from both perspectives. The first part of the book deals with Nielsen methods and introduces the reader to results and examples that are helpful to understand the following parts. The second part focuses on covering spaces and fundamental groups, including covering space proofs of group theoretic results. The third part deals with the theory of hyperbolic groups. The subjects are illustrated and described by prominent examples and an outlook on solved and unsolved problems.
Author: Peter Morgan Publisher: ISBN: Category : Free will and determinism Languages : en Pages : 237
Book Description
Two important theistic defenses, the Free Will Defense and the Expanded Free Will Defense, provide valuable thought in defense of theism but are insufficient for addressing specific cases of intense evil, as the non-theistic evidential/abductive arguments from the problem of evil are want to do. However, theodical suggestions from systems of regularity, as a necessary part of living out a free will existence, provide a theistic defense that correlates with free will defenses and more fully accounts for the existence of good and intense evil. This Free System Corollary is derived from a starting point of two basic goods in human life: free will and free systems. After consideration of free will and free systems, theodical suggestions arise, naturally flowing from the evidence provided from free will and free systems. Through the application of the Free System Corollary to specific cases of intense evil, the argument is made that theism offers better potential explanations than naturalism for the amounts and kinds of evils in this world based on what is known of human reality.
Author: A.C. Kim Publisher: Walter de Gruyter ISBN: 3110908972 Category : Mathematics Languages : en Pages : 357
Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author: Ryszard Janicki Publisher: Springer Nature ISBN: 3030518310 Category : Computers Languages : en Pages : 442
Book Description
This book constitutes the proceedings of the 41st International Conference on Application and Theory of Petri Nets and Concurrency, PETRI NETS 2020, which was supposed to be held in Paris, France, in June 2020. The conference was held virtually due to the COVID-19 pandemic. The 17 regular and 6 tool papers presented together in this volume were carefully reviewed and selected from 56 submissions. The focus of the conference is on following topics: application of concurrency to system design; languages and synthesis; semantics; process mining and applications; extensions and model checking; tools.
Author: Xinzhi Liu Publisher: Springer ISBN: 3030062120 Category : Mathematics Languages : en Pages : 321
Book Description
This monograph discusses the issues of stability and the control of impulsive systems on hybrid time domains, with systems presented on discrete-time domains, continuous-time domains, and hybrid-time domains (time scales). Research on impulsive systems has recently attracted increased interest around the globe, and significant progress has been made in the theory and application of these systems. This book introduces recent developments in impulsive systems and fundamentals of various types of differential and difference equations. It also covers studies in stability related to time delays and other various control applications on the different impulsive systems. In addition to the analyses presented on dynamical systems that are with or without delays or impulses, this book concludes with possible future directions pertaining to this research.
Author: Paul Van Dooren Publisher: Springer Science & Business Media ISBN: 9400706022 Category : Technology & Engineering Languages : en Pages : 481
Book Description
The purpose of Numerical Linear Algebra in Signals, Systems and Control is to present an interdisciplinary book, blending linear and numerical linear algebra with three major areas of electrical engineering: Signal and Image Processing, and Control Systems and Circuit Theory. Numerical Linear Algebra in Signals, Systems and Control will contain articles, both the state-of-the-art surveys and technical papers, on theory, computations, and applications addressing significant new developments in these areas. The goal of the volume is to provide authoritative and accessible accounts of the fast-paced developments in computational mathematics, scientific computing, and computational engineering methods, applications, and algorithms. The state-of-the-art surveys will benefit, in particular, beginning researchers, graduate students, and those contemplating to start a new direction of research in these areas. A more general goal is to foster effective communications and exchange of information between various scientific and engineering communities with mutual interests in concepts, computations, and workable, reliable practices.