Infinity

New Research Frontiers

By: Michael Heller (Editor), W.Â Hugh Woodin (Editor)

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Hardcover | 7 February 2011

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326 Pages

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25.4 x 17.78 x 1.91

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"'The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite.' David Hilbert (1862-1943). 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 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"--Provided by publisher.

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'... Infinity: New Research Frontiers is an excellent collection from some first-rate philosophers. The importance of the contributors along with the high quality of their pieces make this a volume worth reading.' Linguistic and Philosophical Investigations

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Non-Fiction Mathematics Mathematical Foundation Mathematical Logic Philosophy of Mathematics Philosophy Metaphysics & Ontology Religion & Beliefs Aspects of Religion for Non-Christians Theology

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Published: 2nd January 2014

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Contributors	p. ix
Preface	p. xi
Acknowledgments	p. xiii
Introduction	p. 1
Perspectives on Infinity from History
Infinity as a Transformative Concept in Science and Theology	p. 19
Perspectives on Infinity from Mathematics
The Mathematical Infinity	p. 55
Warning Signs of a Possible Collapse of Contemporary Mathematics	p. 76
Technical Perspectives on Infinity from Advanced Mathematics
The Realm of the Infinite	p. 89
A Potential Subtlety Concerning the Distinction between Determinism and Nondeterminism	p. 119
Concept Calculus: Much Better Than	p. 130
Perspectives on Infinity from Physics and Cosmology
Some Considerations on Infinity in Physics	p. 167
Cosmological Intimations of Infinity	p. 176
Infinity and the Nostalgia of the Stars	p. 193
Infinities in Cosmology	p. 218
Perspectives on Infinity from Philosophy and Theology
God and Infinity: Directions for Future Research	p. 233
Notes on the Concept of the Infinite in the History of Western Metaphysics	p. 255
God and Infinity: Theological Insights from Cantor's Mathematics	p. 275
A (Partially) Skeptical Response to Hart and Russell	p. 290
Index	p. 299
Table of Contents provided by Ingram. All Rights Reserved.

Infinity

New Research Frontiers

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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