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New Research Frontiers


Rudy Rucker, Wolfgang Achtner, Enrico Bombieri, Edward Nelson, W. Hugh Woodin, Harvey M. Friedman, Carlo Rovelli, Anthony Aguirre, Marco Bersanelli, Michael Heller, Graham Oppy, David Bentley Hart, Robert J. Russell, Denys A. Turner
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  • Date Published: January 2014
  • availability: Available
  • format: Paperback
  • isbn: 9781107685482

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About the Authors
  • 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.

    • Gathers disparate disciplines to explore the concept and meaning of infinity
    • Accessible to readers without advanced mathematics and scientific backgrounds who are deeply interested in a topic
    • Book shows a 'dispute in action', polemics between different viewpoints and opinions rather than a static panorama of accepted views
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    Reviews & endorsements

    '… 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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    Product details

    • Date Published: January 2014
    • format: Paperback
    • isbn: 9781107685482
    • length: 326 pages
    • dimensions: 254 x 178 x 17 mm
    • weight: 0.57kg
    • contains: 11 b/w illus. 2 tables
    • availability: Available
  • Table of Contents

    Introduction Rudy Rucker
    Part I. Perspectives on Infinity from History:
    1. Infinity as a transformative concept in science and theology Wolfgang Achtner
    Part II. Perspectives on Infinity from Mathematics:
    2. The mathematical infinity Enrico Bombieri
    3. Warning signs of a possible collapse of contemporary mathematics Edward Nelson
    Part III. Technical Perspectives on Infinity from Advanced Mathematics:
    4. The realm of the infinite W. Hugh Woodin
    5. A potential subtlety concerning the distinction between determinism and nondeterminism W. Hugh Woodin
    6. Concept calculus: much better than Harvey M. Friedman
    Part IV. Perspectives on Infinity from Physics and Cosmology:
    7. Some considerations on infinity in physics Carlo Rovelli
    8. Cosmological intimations of infinity Anthony Aguirre
    9. Infinity and the nostalgia of the stars Marco Bersanelli
    10. Infinities in cosmology Michael Heller
    Part V. Perspectives on Infinity from Philosophy and Theology:
    11. God and infinity: directions for future research Graham Oppy
    12. Notes on the concept of the infinite in the history of Western metaphysics David Bentley Hart
    13. God and infinity: theological insights from Cantor's mathematics Robert J. Russell
    14. A partially skeptical response to Hart and Russell Denys A. Turner.

  • Editors

    Michael Heller, Pontifical University of John Paul II
    Revd Dr Michael Heller is the Founder and Director of the Copernicus Center for Interdisciplinary Studies, Cracow. He is a Professor of Philosophy at the Pontifical University of John Paul II, Cracow, Poland; an Adjunct Member of the Vatican Observatory; and Ordinary Member of the Pontifical Academy of Sciences. Heller is the author of more than thirty books and nearly two hundred scientific papers.

    W. Hugh Woodin, University of California, Berkeley
    Dr W. Hugh Woodin is a Professor of Mathematics and the Chair of the Mathematics Department at the University of California, Berkeley. Professor Woodin has published numerous articles and books and is the managing editor of the Journal of Mathematical Logic and editor of Mathematical Research Letters, Mathematical Logic Quarterly and Electronic Research Announcements (American Mathematical Society).


    Rudy Rucker, Wolfgang Achtner, Enrico Bombieri, Edward Nelson, W. Hugh Woodin, Harvey M. Friedman, Carlo Rovelli, Anthony Aguirre, Marco Bersanelli, Michael Heller, Graham Oppy, David Bentley Hart, Robert J. Russell, Denys A. Turner

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