David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Princeton University Press (1982)
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. Here 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.
|Keywords||Logic, Symbolic and mathematical Set theory Infinite|
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|Buy the book||$7.23 new (70% off) $23.01 direct from Amazon (28% off) Amazon page|
|Call number||QA9.R79 1995|
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Inna Semetsky (2009). The Magician in the World: Becoming, Creativity, and Transversal Communication. Zygon 44 (2):323-345.
Alex Oliver & Timothy Smiley (2006). What Are Sets and What Are They For? Philosophical Perspectives 20 (1):123–155.
Markus Ekkehard Locker (2010). And Who Shaves God? Nature and Role of Paradoxes in 'Science and Religion' Communications: 'A Case of Foolish Virgins'. Empedocles 1 (2):187-201.
David J. Chalmers (1990). Computing the Thinkable. Behavioral and Brain Sciences 13 (4):658-659.
D. F. M. Strauss (2010). The Significance of a Non-Reductionist Ontology for the Discipline of Mathematics: A Historical and Systematic Analysis. [REVIEW] Axiomathes 20 (1):19-52.
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