Infinity and the Mind The Science and Philosophy of the Infinite
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Description: 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 Gdel'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 Gdel's incompleteness theorems. His personal encounters with Gdel 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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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $37.50
Copyright year: 1995
Publisher: Princeton University Press
Publication date: 11/21/2004
Size: 6.00" wide x 9.25" long x 1.00" tall
|All the numbers|
|Robots and souls|
|The one and the many|
|Excursion one : the transfinite cardinals|
|Excursion two : Godel's incompleteness theorems|