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Author: Graham Oppy
Publisher: Cambridge University Press
ISBN: 1139455117
Category : Philosophy
Languages : en
Pages : 285
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Book Description
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.
Author: Graham Oppy
Publisher: Cambridge University Press
ISBN: 1139455117
Category : Philosophy
Languages : en
Pages : 285
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Book Description
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.
Author: Graham Robert Oppy
Publisher:
ISBN: 9781107167674
Category : First philosophy
Languages : en
Pages : 0
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Book Description
Exploring 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 analyzes the many puzzles and paradoxes that follow in the train of the infinite.
Author: Karsten Harries
Publisher: MIT Press
ISBN: 9780262582186
Category : Architecture
Languages : en
Pages : 400
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Book Description
A philosophical exploration of the origin and limits of the modern world.
Author: Michael Heller
Publisher: Cambridge University Press
ISBN: 1139495569
Category : Mathematics
Languages : en
Pages : 327
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Book Description
This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen world-renowned researchers in the fields of mathematics, physics, cosmology, philosophy and theology offer a rich intellectual exchange among various current viewpoints, rather than displaying a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity.
Author: Benedikt Paul Göcke
Publisher: University of Notre Dame Pess
ISBN: 0268104166
Category : Philosophy
Languages : en
Pages : 572
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Book Description
Two questions regarding contemporary theological and philosophical studies are often overlooked: “Is God infinite or finite?” and, “What does it mean to say that God is infinite?” In The Infinity of God, Benedikt Paul Göcke and Christian Tapp bring together prominent scholars to discuss God’s infinitude from philosophical and theological perspectives. Each contributor deals with a particular aspect of the infinity of God, employing the methods of analytic theology and analytic philosophy. The essays in the first section examine historical issues from a systematic point of view. The contributors focus on the Cappadocian Fathers, Thomas Aquinas, Leibniz, Kant, Hegel, Bolzano, and Cantor. The second section deals with particular issues concerning the relation between God's infinity and both the finitude of the world and the classical attributes of God: eternity, simplicity, omnipresence, omnipotence, omniscience, and moral perfection. There are some books that deal with the notion of infinity in mathematics and in general philosophy, but no single text brings together the best analytic philosophers and theologians tackling the various aspects of the infinity of God and the correlated problems. This book will interest students and scholars in philosophy of religion, theology, and metaphysics. Contributors: Benedikt Paul Göcke, Christian Tapp, Franz Krainer, Adam Drosdek, William E. Carroll, Christina Schneider, Ruben Schneider, Robert M. Wallace, Bruce A. Hedman, Bernhard Lang, Richard Swinburne, Kenneth L. Pearce, William Hasker, Paul Helm, Brian Leftow, Ken Perszyk, Thomas Schärtl, and Philip Clayton.
Author: Rudy Rucker
Publisher: Princeton University Press
ISBN: 0691191255
Category : Mathematics
Languages : en
Pages :
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Book Description
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.
Author: Ohad Nachtomy
Publisher: Springer
ISBN: 3319945564
Category : Philosophy
Languages : en
Pages : 213
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Book Description
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.
Author: Graham Oppy
Publisher: John Wiley & Sons
ISBN: 1405170824
Category : Philosophy
Languages : en
Pages : 329
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Book Description
Reading Philosophy of Religion combines a diverse selection of classical and contemporary texts in philosophy of religion with insightful commentaries. Offers a unique presentation through a combination of text and interactive commentary Provides a mix of classic and contemporary texts, including some not anthologized elsewhere Includes writings from thinkers such as Aquinas, Boethius, Hume, Plantinga and Putnam Divided into sections which examine religious language, the existence of God, reason, argument and belief, divine properties, and religious pluralism
Author: David Deutsch
Publisher: Penguin UK
ISBN: 0141969695
Category : Science
Languages : en
Pages : 571
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Book Description
'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, Independent In our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely? In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the beginning of humanity's infinite possibility. 'This is Deutsch at his most ambitious, seeking to understand the implications of our scientific explanations of the world ... I enthusiastically recommend this rich, wide-ranging and elegantly written exposition of the unique insights of one of our most original intellectuals' Michael Berry, Times Higher Education Supplement 'Bold ... profound ... provocative and persuasive' Economist 'David Deutsch may well go down in history as one of the great scientists of our age' Scotsman
Author: Fabrice Pataut
Publisher: Springer
ISBN: 9783319459783
Category : Philosophy
Languages : en
Pages : 0
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Book Description
This volume features essays about and by Paul Benacerraf, whose ideas have circulated in the philosophical community since the early nineteen sixties, shaping key areas in the philosophy of mathematics, the philosophy of language, the philosophy of logic, and epistemology. The book started as a workshop held in Paris at the Collège de France in May 2012 with the participation of Paul Benacerraf. The introduction addresses the methodological point of the legitimate use of so-called “Princess Margaret Premises” in drawing philosophical conclusions from Gödel’s first incompleteness theorem. The book is then divided into three sections. The first is devoted to an assessment of the improved version of the original dilemma of “Mathematical Truth” due to Hartry Field: the challenge to the platonist is now to explain the reliability of our mathematical beliefs given the very subject matter of mathematics, either pure or applied. The second addresses the issue of the ontological status of numbers: Frege’s logicism, fictionalism, structuralism, and Bourbaki’s theory of structures are called up for an appraisal of Benacerraf’s negative conclusions of “What Numbers Could Not Be.” The third is devoted to supertasks and bears witness to the unique standing of Benacerraf’s first publication: “Tasks, Super-Tasks, and Modern Eleatics” in debates on Zeno’s paradox and associated paradoxes, infinitary mathematics, and constructivism and finitism in the philosophy of mathematics. Two yet unpublished essays by Benacerraf have been included in the volume: an early version of “Mathematical Truth” from 1968 and an essay on “What Numbers Could Not Be” from the mid 1970’s. A complete chronological bibliography of Benacerraf’s work to 2016 is provided.Essays by Jody Azzouni, Paul Benacerraf, Justin Clarke-Doane, Sébastien Gandon, Brice Halimi, Jon Pérez Laraudogoitia, Mary Leng, Antonio León-Sánchez and Ana C. León-Mejía, Marco Panza, Fabrice Pataut, Philippe de Rouilhan, Andrea Sereni, and Stewart Shapiro.
