Infinity and the Mind: The Science and Philosophy of the Infinite

Princeton University Press (1982)
Abstract
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
Categories (categorize this paper)
Reprint years 1995
Buy the book $3.00 used (88% off)   $8.99 new (63% off)   $26.05 direct from Amazon (31% off)    Amazon page
Call number QA9.R79 1995
ISBN(s) 0691001723   0691121273  
DOI 10.2307/2273811
Options
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 30,122
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA
The Mathematical Universe.Max Tegmark - 2008 - Foundations of Physics 38 (2):101-150.
Computing the Thinkable.David J. Chalmers - 1990 - Behavioral and Brain Sciences 13 (4):658-659.
What Are Sets and What Are They For?Alex Oliver & Timothy Smiley - 2006 - Philosophical Perspectives 20 (1):123–155.

View all 32 citations / Add more citations

Similar books and articles
Added to PP index
2009-01-28

Total downloads
9 ( #471,319 of 2,191,314 )

Recent downloads (6 months)
3 ( #95,262 of 2,191,314 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature