## 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: The Five Levels of Mathematical Reality

User Review - Christopher Gilmour - Goodreadsits a book for dull people Read full review

#### Review: Mind Tools: The Five Levels of Mathematical Reality

User Review - Alterstuart - GoodreadsThis one is moving me out of my mathematical comfort zone and keeping me reading. edit: Now I'm done reading it, I can wholeheartedly recommend it for your kids. Grab it if you see it, this author has a good way with words. 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

alef-one algebraic curve analog bit atoms axioms base base-two 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 K-bit 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