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Infinity : new research frontiers / edited by Michael Heller, W. Hugh Woodin.

Contributor(s): Material type: TextTextPublisher: Cambridge : Cambridge University Press, 2011Description: 1 online resource (xiii, 311 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511976889 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 111/.6 22
LOC classification:
  • QA9 .I46 2011
Online resources:
Contents:
Infinity as a transformative concept in science and theology / Wolfgang Achtner -- The mathematical infinity / Enrico Bombieri -- Warning signs of a possible collapse of contemporary mathematics / Edward Nelson -- The realm of the infinite / W. Hugh Woodin -- A potential subtlety concerning the distinction between determinism and nondeterminism / W. Hugh Woodin -- Concept calculus : much better than / Harvey M. Friedman -- Some considerations on infinity in physics / Carlo Rovelli -- Cosmological intimations of infinity / Anthony Aguirre -- Infinity and the nostalgia of the stars / Marco Bersanelli -- Infinities in cosmology / Michael Heller -- God and infinity : directions for future research / Graham Oppy -- Notes on the concept of the infinite in the history of Western metaphysics / David Bentley Hart -- God and infinity : theological insights from Cantor's mathematics / Robert J. Russell -- A (partially) skeptical response to Hart and Russell / Denys A. Turner.
Summary: 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.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Infinity as a transformative concept in science and theology / Wolfgang Achtner -- The mathematical infinity / Enrico Bombieri -- Warning signs of a possible collapse of contemporary mathematics / Edward Nelson -- The realm of the infinite / W. Hugh Woodin -- A potential subtlety concerning the distinction between determinism and nondeterminism / W. Hugh Woodin -- Concept calculus : much better than / Harvey M. Friedman -- Some considerations on infinity in physics / Carlo Rovelli -- Cosmological intimations of infinity / Anthony Aguirre -- Infinity and the nostalgia of the stars / Marco Bersanelli -- Infinities in cosmology / Michael Heller -- God and infinity : directions for future research / Graham Oppy -- Notes on the concept of the infinite in the history of Western metaphysics / David Bentley Hart -- God and infinity : theological insights from Cantor's mathematics / Robert J. Russell -- A (partially) skeptical response to Hart and Russell / Denys A. Turner.

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.

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