Infinity and the Mind: The Science and Philosophy of the InfiniteHarvester Press, 1982 - 342 páginas This work brings together the limits of science and the furthest horizons of the imagination. With wit and ease, Rucker leads us through the arguments of mathematicians, physicists and philosophers, through the paradoxes of set theory, the mind-stretching concepts of space/time physics, and the staggering results of Godels incompleteness theorems. Rucker's own personal encounters with Godel the man, the mathematician and the philosopher provide a rare glimpse at genius, and reveal what very few mathematicians have dared to admit - the transcedent implications of Platonic realism. Infinity and the mind is for anyone who has pondered the immensity of the cosmos; for anyone who has tried to imagine the infinitely large and the infinitesimally small. It is a book for lovers of paradoxes and ideas - the very limits of science and mind. |
Contenido
Infinity | 1 |
Connections | 49 |
Infinitesimals and Surreal Numbers | 78 |
Derechos de autor | |
Otras 10 secciones no mostradas
Otras ediciones - Ver todas
Infinity and the Mind: The Science and Philosophy of the Infinite Rudy Rucker Vista previa limitada - 2004 |
Infinity and the Mind: The Science and Philosophy of the Infinite Rudy Rucker Vista previa limitada - 2019 |
Términos y frases comunes
Absolute Infinite actually infinite alef-one argument atoms axioms basic Berry paradox billion words called cardinal number conceivable property concept consistent Continuum countable decimal expansion defined definite describe digits discussed exist fact Figure finite description formal system Georg Cantor given Gödel's Incompleteness Theorem Hilbert human idea inaccessible Incompleteness Theorem infinite number infinite sets infinity Kurt Gödel large cardinals Liar paradox logical M₁ mathematical mathematicians meaningful formulas means measurable cardinals mind Mindscape multiplicity mystical nameable natural numbers never nite notion objects one-to-one One/Many problem ordinals less particles philosophy physical proof provable prove question rational real number Reflection Principle regress robots Rudy Rucker rules sense sentence sequence set theory sort space space-time statement strings of symbols tetration thing tion Total Library transfinite numbers true truth machine Wheelie Willie X₁ York zero