## Bridges to infinity: the human side of mathematicsExplains important mathematical concepts, such as probability and statistics, set theory, paradoxes, symmetries, dimensions, game theory, randomness, and irrational numbers |

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### Contents

BETWEEN CHECKERS AND CHESS | 7 |

A CERTAIN TREASURE | 11 |

IRRATIONAL THINKING | 31 |

Copyright | |

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abstract According actually algebraic equations algebraists arithmetic asymptotic limit behave behavior believe black hole Bolyai calculate Cantor Carl Friedrich Gauss catastrophe theory century certainty common sense concept deductive reasoning definition described digits dimension discovery earth electron ematicians ematics Euclid's geometry Euclidean Euclidean geometry example existence fine-structure constant fractions Frege game theory Gauss Georg Cantor German mathematician Godel's Greeks group theory human hypothesis imaginary numbers imagination infinite set infinitely long infinity instance invented irrational number Leonhard Euler logic Mandelbrodt math mathematical mathematicians matrices means miles multiplied natural numbers natural world negative numbers nothingness null set object optimal strategy paradox physical plane players polygon positive number possible postulate predict principle problem proved rational number line reason Related Essays result Riemann's Russell's paradox scientists sequence space species speed starfish stars straight line subsets surface symmetry theorems things topological transfinite number traveling salesman problem universe whole numbers width zero