Infinity: new research frontiers

New York: Cambridge University Press (2011)
  Copy   BIBTEX

Abstract

'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.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,923

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Chapters

Similar books and articles

Review of Oppy's Philosophical Perspectives on Infinity. [REVIEW]Anne Newstead - 2007 - Australasian Journal of Philosophy 85 (4):679-695.
Aristotle on mathematical infinity.Theokritos Kouremenos - 1995 - Stuttgart: F. Steiner. Edited by Aristotle.
Infinity: the quest to think the unthinkable.Brian Clegg - 2003 - [Berkeley, Calif.]: Publishers Group West.
A Mathematical Model of Divine Infinity.Eric Steinhart - 2009 - Theology and Science 7 (3):261-274.
To infinity and beyond: a cultural history of the infinite.Eli Maor - 1987 - Princeton, N.J.: Princeton University Press. Edited by Ian Stewart.
Infinity in science and religion. The creative role of thinking about infinity.Wolfgang Achtner - 2005 - Neue Zeitschrift für Systematicsche Theologie Und Religionsphilosophie 47 (4):392-411.
Wittgenstein on the Infinity of Primes.Timm Lampert∗ - 2008 - History and Philosophy of Logic 29 (1):63-81.
Actual versus Potential Infinity (BPhil manuscript.).Anne Newstead - 1997 - Dissertation, University of Oxford

Analytics

Added to PP
2010-12-21

Downloads
144 (#132,878)

6 months
12 (#242,841)

Historical graph of downloads
How can I increase my downloads?

Author Profiles

References found in this work

No references found.

Add more references