Infinity and the Mind: The Science and Philosophy of the Infinite (Princeton Science Library)

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9780691121277: Infinity and the Mind: The Science and Philosophy of the Infinite (Princeton Science Library)

In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the "Mindscape," where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Rucker acquaints us with Gödel's rotating universe, in which it is theoretically possible to travel into the past, and explains an interpretation of quantum mechanics in which billions of parallel worlds are produced every microsecond. It is in the realm of infinity, he maintains, that mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise from this merging, we can learn a great deal about the human mind, its powers, and its limitations.


Using cartoons, puzzles, and quotations to enliven his text, Rucker guides us through such topics as the paradoxes of set theory, the possibilities of physical infinities, and the results of Gödel's incompleteness theorems. His personal encounters with Gödel the mathematician and philosopher provide a rare glimpse at genius and reveal what very few mathematicians have dared to admit: the transcendent implications of Platonic realism.

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From the Back Cover :

"Infinity and the Mind can be read and enjoyed by experts and nonexperts alike. Rudy Rucker is a talented logician who draws on his talents as a science-fiction writer and cartoonist to convey his ideas. This makes for not only a solid, accurate, and informative book but also a good read."--Thomas Tymoczko, Smith College

"Informal, amusing, witty, profound. . . . In an extraordinary burst of creative energy, Rudy Rucker has managed to bring together every aspect of mathematical infinity. . . . A dizzying glimpse into that boundless region of blinding light where the mysteries of transcendence shatter the clarity of logic, set theory, proof theory, and contemporary physics."--Martin Gardner

About the Author :

Rudy Rucker is Professor of Mathematics and Computer Science at San Jose State University and the author of numerous books on mathematics and philosophy, including Artificial Life Lab, Mind Tools: The Five Levels of Mathematical Reality, and The Fourth Dimension: A Guided Tour of Higher Universes. Among his works of science fiction are White Light, Software, and Space-Time Donuts.

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ISBN 10 : 0691121273 ISBN 13 : 9780691121277
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Description du livre Princeton Univ Pr, Ewing, New Jersey, U.S.A., 2004. Soft cover. État : New. ".explores infinity in all its forms:potential and actual, mathematical and physical, theological and mundane." Examines Goedel's rotating universe, in which it is theoretically possible to travel into the past, as well as quantum mechanics and the possibility of parallel worlds. xx+342 pages, line drawings throughout, notes, bibliography, index. N° de réf. du libraire 13943

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Description du livre Princeton University Press, United States, 2004. Paperback. État : New. Revised ed.. Language: English . Brand New Book. In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the Mindscape, where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Rucker acquaints us with Godel s rotating universe, in which it is theoretically possible to travel into the past, and explains an interpretation of quantum mechanics in which billions of parallel worlds are produced every microsecond. It is in the realm of infinity, he maintains, that mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise from this merging, we can learn a great deal about the human mind, its powers, and its limitations. Using cartoons, puzzles, and quotations to enliven his text, Rucker guides us through such topics as the paradoxes of set theory, the possibilities of physical infinities, and the results of Godel s incompleteness theorems. His personal encounters with Godel the mathematician and philosopher provide a rare glimpse at genius and reveal what very few mathematicians have dared to admit: the transcendent implications of Platonic realism. N° de réf. du libraire AAS9780691121277

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Rudy Rucker
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Description du livre Princeton University Press, United States, 2004. Paperback. État : New. Revised ed.. Language: English . Brand New Book. In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the Mindscape, where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Rucker acquaints us with Godel s rotating universe, in which it is theoretically possible to travel into the past, and explains an interpretation of quantum mechanics in which billions of parallel worlds are produced every microsecond. It is in the realm of infinity, he maintains, that mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise from this merging, we can learn a great deal about the human mind, its powers, and its limitations. Using cartoons, puzzles, and quotations to enliven his text, Rucker guides us through such topics as the paradoxes of set theory, the possibilities of physical infinities, and the results of Godel s incompleteness theorems. His personal encounters with Godel the mathematician and philosopher provide a rare glimpse at genius and reveal what very few mathematicians have dared to admit: the transcendent implications of Platonic realism. N° de réf. du libraire AAS9780691121277

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Description du livre Princeton University Press, 2004. Paperback. État : New. Never used!. N° de réf. du libraire 0691121273

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