Infinity and the mind: the science and philosophy of the infinite 
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1 page matching each nameable subsequence of random sequence should be random as well in this book
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Review: Infinity and the Mind: The Science and Philosophy of the Infinite
User Review  GoodreadsAn overview of the mathematics and philosophy of the infinite. This book touches on many subjects including the transfinite numbers, Godel's Incompleteness Theorems, the possibility of machine ... Read full review
Review: Infinity and the Mind: The Science and Philosophy of the Infinite
User Review  GoodreadsNot something I would really want to read cover to cover but fun to jump around between various topics. Very technical and sometimes a bit erratic in how topics are introduced and explained. Read full review
Contents
Infinities in the Mindscape  37 
Connections  52 
Transfinite Numbers  69 
Copyright  
23 other sections not shown
Common terms and phrases
Absolute Infinite actually infinite alefone argument atoms axioms basic Berry paradox billion words called cardinal number code numbers complete conceivable property concept consciousness consistent countable decimal expansion defined definite describe digits discussed exist extendible cardinals fact Figure finite description formal system Georg Cantor given Godel's Incompleteness Theorem human idea inaccessible inaccessible cardinals Incompleteness Theorem infinite number infinite sets infinitesimal infinity instance Kurt Godel language large cardinals Liar paradox logical mathematicians meaningful formulas means mind Mindscape multiplicity mystical nameable natural numbers never notion objects onetoone One/Many problem ordinals less particles philosophy physical proof provable prove Pythagoreans question rational real number Reflection Principle robots Rudy Rucker rules sense sentence sequence set of natural set theory sort space spacetime statement strings of symbols subsets tetration thing tion Total Library true truth machine York zero