| 词条 | Infinity and the Mind |
| 释义 |
| name = Infinity and the Mind | image = Infinity and the Mind (Rudy Rucker book) cover.jpg | caption = First edition cover | author = Rudy Rucker | title_orig = | translator = | illustrator = | cover_artist = | country = United States | language = English | series = | subject = Infinity, set theory | genre = Popular mathematics | publisher = Birkhäuser | pub_date = 1 May 1982 | media_type = Print | pages = 342 | isbn = 978-3-7643-3034-7 | oclc = 8113006 | dewey = | congress = | preceded_by = | followed_by = }}Infinity and the Mind: The Science and Philosophy of the Infinite[1] is a popular mathematics book by American mathematician, computer scientist, and science fiction writer Rudy Rucker.[2] SynopsisThe book contains accessible popular expositions on the mathematical theory of infinity, and a number of related topics. These include Gödel's incompleteness theorems and their relationship to concepts of artificial intelligence and the human mind, as well as the conceivability of some unconventional cosmological models. The material is approached from a variety of viewpoints, some more conventionally mathematical and others being nearly mystical. There is a brief account of the author's personal contact with Kurt Gödel. An appendix contains one of the few popular expositions on set theory research on what are known as "strong axioms of infinity." ReceptionInfinity and the Mind was reviewed by the New Yorker, which asserted that "Rudy Rucker's Infinity and the Mind is a terrific study with real mathematical depth." Martin Gardner described the book as "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." MarketingThe dust jacket of the original (Birkhäuser) edition had a picture of a star over a mountain and appeared to be a religious or mystical work. Subsequent paperback reprintings had covers suggesting that the publishers wished to appeal to a "new age" market. The most recent editions, from Princeton University Press, have very austere covers suggesting an academic work. References1. ^{{Cite book | last=Rucker | first=Rudy | authorlink=Rudy Rucker | coauthors= | title=Infinity and the Mind: The Science and Philosophy of the Infinite | year=1982 | publisher=Princeton University Press | location=Princeton, N.J. | isbn=978-0-691-00172-2 | pages=}} 2. ^{{cite web |title=Infinity and the Mind The Science and Philosophy of the Infinite |url=https://press.princeton.edu/titles/5656.html |publisher=Princeton University Press |accessdate=29 October 2018}} External links
4 : 1982 books|Books by Rudy Rucker|Mathematics books|Birkhäuser books |
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