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Lädt ... Infinity and the mind: the science and philosophy of the infinite (Original 1982; 1997. Auflage)von Rudolf v. B. Rucker
Werk-InformationenDie Ufer der Unendlichkeit von Rudy Rucker (1982)
   Keine Keine aktuelle Diskussion zu diesem Buch.  .mau. | Sep 17, 2023 |    )1  jefware | Oct 8, 2012 |  )3 MaowangVater | Nov 30, 2008 |  ) Packrat | Mar 11, 2008 | To Rucker I owe the following proof of the falsity of the statement "in an infinite universe, anything is possible". Ti disprove this, we only have to show that something is impossible in our (imaginary) infinite universe. Let's say a planet where everyone has green hair. Now imagine a guide to the planets in the universe. This book has an infinite number of pages. Now imagine that we put green-haired planets every other page, with noral planets in between. We can remove the GHP from our guidebook, and it is still infinite. So now we can imagine an infinite universe with no GHPs. So many things are not possible in our infinite universe. This proof is oddly satisfying. Thank you Mr. Rucker. ( )2 celephicus | Feb 20, 2008 |
Wellicht naar aanleiding van het succes van "De vierde dimensie" (a.i. 86-18-262) is nu ook Ruckers oudere boek "Oneindigheid" (uit 1982) in Nederlandse vertaling op de markt gebracht. Met dezelfde briljante gedrevenheid behandelt Rucker de paradoxale wereld van het oneindig grote en het oneindig kleine, zoals we die in de filosofie en vooral in de moderne wiskunde tegenkomen. Daarbij komen de transfiniete getallen, de stelling van Godel, de kunstmatige intelligentie, en zelfs een vleugje oosterse mystiek aan de orde. In tegenstelling tot "De vierde dimensie" is dit boek echter didactisch vrij zwak. De opbouw is rommelig, de uitleg vaak niet helder, en de gemiddelde leek waar het voor geschreven is heeft aardig wat wiskundekennis van universitair niveau nodig om het te kunnen volgen. Bevat puzzels met oplossingen, en een uitvoerige literatuurlijst. (NBD|Biblion recensie, Drs. D.G. van der Steen.) Ein Kommentar zu dem Text findet sich in
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. Keine Bibliotheksbeschreibungen gefunden. |
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 Google Books — Lädt ...GenresMelvil Decimal System (DDC)511.3Natural sciences and mathematics Mathematics General Principles Mathematical (Symbolic) logicKlassifikation der Library of Congress [LCC] (USA)BewertungDurchschnitt: (3.66)
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Devo dire che sono stato piuttosto deluso da questo libro, che pure pare essere un long seller (per quanto possano esserlo i libri di saggistica). Mi pare che Rucker abbia fatto un mischione, tra capitoli matematici molto tecnici - persino io ho avuto qualche difficoltà a seguirli, e il testo dovrebbe essere a livello divulgativo - e capitoli pseudofilosofici, con una contrapposizione tra Uno e Molti che a me sa più che altro di New Age. Diciamo che non penso lo rileggerò mai. (