Mind tools: the five levels of mathematical realityA popular, accessible exploration of the dizzying concepts of postmodern mathematics. Illustrated. 
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Review: Mind Tools Pa
User Review  Christopher Gilmour  Goodreadsits a book for dull people Read full review
Review: Mind Tools: The Five Levels of Mathematical Reality
User Review  Carrie Felton  GoodreadsVery interesting. Does a good job of making connections that I never would have seen on my own. Read full review
Contents
Mathematics as Information  3 
Logic and Infinity  10 
Information and Communication  25 
Copyright  
24 other sections not shown
Common terms and phrases
alefone algebraic curve analog bit atoms axioms base basetwo basic binary name bit string bits of information brain branches calculus called cell cellular automaton Chaitin's theorem Church's theorem code number complexity concept decimal dimension dots endless equation fact finite numbers fractal gigaplex given Godel's theorem going googol halting problem halts Hilbert space inconceivable infinite infinity Kbit kind known Koch curve large numbers length listable logarithmic logarithmic spiral logical space look marks math mathematical mathematicians means Menger sponge natural numbers notion number name pattern Penrose tiles physical pixel plane polygon polynomial possible precision predict problem proof provable prove random rules screen sentence simple spiral square squiggle Stephen Wolfram steps Suppose syllogism symbols takes talk tape tessellation theory things thought three billion transfinite triangle true truth universal Turing machine vanishing point words write zeros