Infinity (eBook, PDF)

New Research Frontiers
Redaktion: Heller, Michael

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 7. Februar 2011
• Englisch
• ISBN-13: 9781139065825
• Artikelnr.: 38275628

Inhaltsangabe

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.