Infinity: new research frontiers / ed. by M.Heller, W.H.Woodin. - Cambridge; New York: Cambridge University Press, 2011. - xiii, 311 p. - Incl. bibl. ref. - Ind.: p.299-311. - ISBN 978-1-107-00387-3  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents

Contributors ................................................... ix Preface ........................................................ xi Acknowledgments .............................................. xiii Introduction .................................................... 1 Rudy Rucker I Perspectives on Infinity from History 1 Infinity as a Transformative Concept in Science and Theology .................................................... 19 Wolfgang Achtner II Perspectives on Infinity from Mathematics 2 The Mathematical Infinity ................................... 55 Enrico Bombieri 3 Warning Signs of a Possible Collapse of Contemporary Mathematics ................................................. 76 Edward Nelson III Technical Perspectives on Infinity from Advanced Mathematics 4 The Realm of the Infinite ................................... 89 W. Hugh Woodin 5 A Potential Subtlety Concerning the Distinction between Determinism and Nondeterminism ............................. 119 W. Hugh Woodin 6 Concept Calculus: Much Better Than ......................... 130 Harvey M. Friedman IV Perspectives on Infinity from Physics and Cosmology 7 Some Considerations on Infinity in Physics ................. 167 Carlo Rovelli 8 Cosmological Intimations of Infinity ....................... 176 Anthony Aguirre 9 Infinity and the Nostalgia of the Stars .................... 193 Marco Bersanelli 10 Infinities in Cosmology .................................... 218 Michael Heller V Perspectives on Infinity from Philosophy and Theology 11 God and Infinity: Directions for Future Research ........... 233 Graham Oppy 12 Notes on the Concept of the Infinite in the History of Western Metaphysics ........................................ 255 David Bentley Hart 13 God and Infinity: Theological Insights from Cantor's Mathematics ................................................ 275 Robert John Russell 14 A (Partially) Skeptical Response to Hart and Russell ....... 290 Denys A. Turner Index ......................................................... 299