Infinity [electronic resource] : new research frontiers / edited by Michael Heller, W. Hugh Woodin.
Heller, Michał.; Woodin, W. H. (W. Hugh)
2011
QA9 .I46 2011
Available Online

Linked e-resources

Linked Resource Online Access

Details

Title Infinity [electronic resource] : new research frontiers / edited by Michael Heller, W. Hugh Woodin.
ISBN 9781107003873
1107003873
9781139080699 (electronic book)
Publication Details Cambridge [England] ; New York : Cambridge University Press, 2011.
Language English
Description xiii, 311 p.
Call Number QA9 .I46 2011
Dewey Decimal Classification 111/.6
Summary "'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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Added Author Heller, Michał.
Woodin, W. H. (W. Hugh)
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
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.

Browse Subjects

Show more subjects...

Statistics

from
to
Export