Download or read book Metaphysics of Infinity written by Ion Soteropoulos and published by University Press of America. This book was released on 2013-11-26 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the time of the Greek philosopher Zeno (fifth century BCE), our faculty of analytic understanding has failed to comprehend motion through the ages. The reason is the paradox or contradiction associated with motion. One fundamental contradiction is the conflict between the finite body and the infinite divisibility of the unit distance ab. Indeed, how is it possible to move from a to b if we must first pass through an infinite series of sub-distances in one instant? How can we traverse an unlimited series—a series without limit—yet reach its limit? Because the heart of the problem is the conflict between the finite and the infinite, its solution depends on reconciling this contradiction and transforming this reconciliation into the founding principle of motion. Having accomplished these two things, this work investigates the sweeping consequences they have regarding the geometric form of the physical universe, the Aristotelian ontology of the physical body, the nature of our finite brain, the finite analytic paradigm of empirical science and the meaning of our technological acceleration. This book will appeal to a wide range of readers with interests in the logical mechanics of the physical universe, the hidden powers of our finite brain, and the utility of robots in the future. Although some of the presentation requires the understanding of elementary mathematical equations, the argument is conducted at the deepest level: that of principles. This approach enables readers to follow the book’s reasoning without technical training on the subject.
Download or read book Infinity and the Mind written by Rudy Rucker and published by Princeton University Press. This book was released on 2019-07-23 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A dynamic exploration of infinity In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the “Mindscape,” where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Using cartoons, puzzles, and quotations to enliven his text, Rucker acquaints us with staggeringly advanced levels of infinity, delves into the depths beneath daily awareness, and explains Kurt Gödel’s belief in the possibility of robot consciousness. In the realm of infinity, mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise, we gain profound insights into the human mind, its powers, and its limitations. This Princeton Science Library edition includes a new preface by the author.
Download or read book Infinity written by José Amado Benardete and published by Oxford, Clarendon P. This book was released on 1964 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Philosophical Perspectives on Infinity written by Graham Oppy and published by Cambridge University Press. This book was released on 2006-04-03 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exploration of philosophical questions about infinity. Graham Oppy examines how the infinite lurks everywhere, both in science and in our ordinary thoughts about the world. He also analyses the many puzzles and paradoxes that follow in the train of the infinite. Even simple notions, such as counting, adding and maximising present serious difficulties. Other topics examined include the nature of space and time, infinities in physical science, infinities in theories of probability and decision, the nature of part/whole relations, mathematical theories of the infinite, and infinite regression and principles of sufficient reason.
Download or read book The Infinite written by A. W. Moore and published by Psychology Press. This book was released on 1990 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This historical study of the infinite covers all its aspects from the mathematical to the mystical. Anyone who has ever pondered the limitlessness of space and time, or the endlessness of numbers, or the perfection of God will recognize the special fascination of the subject. Beginning with an entertaining account of the main paradoxes of the infinite, including those of Zeno, A.W. Moore traces the history of the topic from Aristotle to Kant, Hegel, Cantor, and Wittgenstein.
Download or read book Mirrors of Infinity written by Allen S. Weiss and published by Princeton Architectural Press. This book was released on 1995 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Resource added for the Landscape Horticulture Technician program 100014.
Download or read book Infinity in Early Modern Philosophy written by Ohad Nachtomy and published by Springer. This book was released on 2018-08-31 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains essays that examine infinity in early modern philosophy. The essays not only consider the ways that key figures viewed the concept. They also detail how these different beliefs about infinity influenced major philosophical systems throughout the era. These domains include mathematics, metaphysics, epistemology, ethics, science, and theology. Coverage begins with an introduction that outlines the overall importance of infinity to early modern philosophy. It then moves from a general background of infinity (before early modern thought) up through Kant. Readers will learn about the place of infinity in the writings of key early modern thinkers. The contributors profile the work of Descartes, Spinoza, Leibniz, and Kant. Debates over infinity significantly influenced philosophical discussion regarding the human condition and the extent and limits of human knowledge. Questions about the infinity of space, for instance, helped lead to the introduction of a heliocentric solar system as well as the discovery of calculus. This volume offers readers an insightful look into all this and more. It provides a broad perspective that will help advance the present state of knowledge on this important but often overlooked topic.
Download or read book A Metaphysics of Infinity written by Thomas Allen Crossman and published by . This book was released on 1991 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Infinity and the Mind written by Rudy Rucker and published by Princeton University Press. This book was released on 2019-07-23 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: A dynamic exploration of infinity In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the “Mindscape,” where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Using cartoons, puzzles, and quotations to enliven his text, Rucker acquaints us with staggeringly advanced levels of infinity, delves into the depths beneath daily awareness, and explains Kurt Gödel’s belief in the possibility of robot consciousness. In the realm of infinity, mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise, we gain profound insights into the human mind, its powers, and its limitations. This Princeton Science Library edition includes a new preface by the author.
Download or read book The End of Infinity written by Anthony C. Patton and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book God Time Infinity written by Mirosław Szatkowski and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-05-07 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The issues of the nature and existence of God, time and infinity, respectively, and how they relate to each other, are some of the most complicated problems of metaphysics.This volume presents contributions of thirteen internationally renowned scholars who deal with various aspects of these complex issues. The contributions were presented and discussed during the international conference: God, Time, Infinity held in Warsaw, September 22—24, 2015.
Download or read book God and the Mathematics of Infinity written by H. Chris Ransford and published by Columbia University Press. This book was released on 2017-03-28 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on the science and mathematics of infinity, H. Chris Ransford analyzes the traditional concept of godhood and reaches surprising conclusions. He addresses humankind's abiding core debate on the meaning of spirituality and God. Using mathematics, he explores key questions within this debate: for instance, why does evil exist if there is a God? The book fastidiously does not take sides nor proffers opinions, it only follows allowable mathematics wherever it leads. By doing so, it makes a major contribution to an understanding of the nature of reality.
Download or read book Infinity written by A. W. Moore and published by Dartmouth Publishing Company. This book was released on 1993 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Infinity Causation and Paradox written by Alexander R. Pruss and published by Oxford University Press. This book was released on 2018-07-26 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinity is paradoxical in many ways. Some paradoxes involve deterministic supertasks, such as Thomson's Lamp, where a switch is toggled an infinite number of times over a finite period of time, or the Grim Reaper, where it seems that infinitely many reapers can produce a result without doing anything. Others involve infinite lotteries. If you get two tickets from an infinite fair lottery where tickets are numbered from 1, no matter what number you saw on the first ticket, it is almost certain that the other ticket has a bigger number on it. And others center on paradoxical results in decision theory, such as the surprising observation that if you perform a sequence of fair coin flips that goes infinitely far back into the past but only finitely into the future, you can leverage information about past coin flips to predict future ones with only finitely many mistakes. Alexander R. Pruss examines this seemingly large family of paradoxes in Infinity, Causation and Paradox. He establishes that these paradoxes and numerous others all have a common structure: their most natural embodiment involves an infinite number of items causally impinging on a single output. These paradoxes, he argues, can all be resolved by embracing 'causal finitism', the view that it is impossible for a single output to have an infinite causal history. Throughout the book, Pruss exposits such paradoxes, defends causal finitism at length, and considers connections with the philosophy of physics (where causal finitism favors but does not require discretist theories of space and time) and the philosophy of religion (with a cosmological argument for a first cause).
Download or read book Totality and Infinity written by Emmanuel Levinas and published by . This book was released on 1980-02-29 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book God Time Infinity written by Mirosław Szatkowski and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-05-07 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The issues of the nature and existence of God, time and infinity, respectively, and how they relate to each other, are some of the most complicated problems of metaphysics.This volume presents contributions of thirteen internationally renowned scholars who deal with various aspects of these complex issues. The contributions were presented and discussed during the international conference: God, Time, Infinity held in Warsaw, September 22—24, 2015.
Download or read book The Infinite written by A.W. Moore and published by Routledge. This book was released on 2018-10-09 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: We are all captivated and puzzled by the infinite, in its many varied guises; by the endlessness of space and time; by the thought that between any two points in space, however close, there is always another; by the fact that numbers go on forever; and by the idea of an all-knowing, all-powerful God. In this acclaimed introduction to the infinite, A. W. Moore takes us on a journey back to early Greek thought about the infinite, from its inception to Aristotle. He then examines medieval and early modern conceptions of the infinite, including a brief history of the calculus, before turning to Kant and post-Kantian ideas. He also gives an account of Cantor’s remarkable discovery that some infinities are bigger than others. In the second part of the book, Moore develops his own views, drawing on technical advances in the mathematics of the infinite, including the celebrated theorems of Skolem and Gödel, and deriving inspiration from Wittgenstein. He concludes this part with a discussion of death and human finitude. For this third edition Moore has added a new part, ‘Infinity superseded’, which contains two new chapters refining his own ideas through a re-examination of the ideas of Spinoza, Hegel, and Nietzsche. This new part is heavily influenced by the work of Deleuze. Also new for the third edition are: a technical appendix on still unresolved questions about different infinite sizes; an expanded glossary; and updated references and further reading. The Infinite, Third Edition is ideal reading for anyone interested in an engaging and historically informed account of this fascinating topic, whether from a philosophical point of view, a mathematical point of view, or a religious point of view.
