Infinity
New Research Frontiers
- Edited by Michael Heller
Pontifical University of John Paul II
Edited by W. Hugh Woodin - Publisher: Cambridge University PressPrint Publication Year:2011Online Publication Date:June 2011Online ISBN:9780511976889Hardback ISBN:9781107003873
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Subjects: Logic, categories and Sets , Theology
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.
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.
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.
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.
Reviews:
- "On the whole, "Infinity: New Research Frontiers" is an excellent collection from some first-rate philosophers.
- The importance of the contributors along with the high quality of their pieces make this a volume worth reading."
Linguistic and Philosophical Investigations
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- ESSAY I -
- Perspectives on Infinity from History: Read PDF
pp. 17-18 - Infinity as a Transformative Concept in Science and Theology: Read PDF
pp. 19-52 - Perspectives on Infinity from Mathematics: Read PDF
pp. 53-54 - The Mathematical Infinity: Read PDF
pp. 55-75 - Warning Signs of a Possible Collapse of Contemporary Mathematics: Read PDF
pp. 76-86 - Technical Perspectives on Infinity from Advanced Mathematics: Read PDF
pp. 87-88 - The Realm of the Infinite: Read PDF
pp. 89-118 - A Potential Subtlety Concerning the Distinction between Determinism and Nondeterminism: Read PDF
pp. 119-129 - Concept Calculus: Much Better Than: Read PDF
pp. 130-164 - Perspectives on Infinity from Physics and Cosmology: Read PDF
pp. 165-166 - Some Considerations on Infinity in Physics: Read PDF
pp. 167-175 - Cosmological Intimations of Infinity: Read PDF
pp. 176-192 - Infinity and the Nostalgia of the Stars: Read PDF
pp. 193-217 - Infinities in Cosmology: Read PDF
pp. 218-230 - Perspectives on Infinity from Philosophy and Theology: Read PDF
pp. 231-232 - God and Infinity: Directions for Future Research: Read PDF
pp. 233-254 - Notes on the Concept of the Infinite in the History of Western Metaphysics: Read PDF
pp. 255-274 - God and Infinity: Theological Insights from Cantor's Mathematics: Read PDF
pp. 275-289 - A (Partially) Skeptical Response to Hart and Russell: Read PDF
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