Infinity : new research frontiers / / edited by Michael Heller, W. Hugh Woodin.
"'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...
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| Year of Publication: | 2011 |
| Language: | English |
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| Physical Description: | xiii, 311 p. |
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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.