## Mathematics: People, Problems, Results, Volume 3 |

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### Contents

part one Computers | 1 |

The Language of Computers Lord Bowden | 2 |

Infinite Loops in Computer Programs Arthur Charlesworth | 15 |

Social Processes and Proofs of Theorems and Programs Richard A De Millo Richard J Lipton and Alan J Perlis | 24 |

Computer Science and Mathematics Donald E Knuth | 37 |

Coping with Hard Problems Gina Bari Kolata | 48 |

The Computer Versus Kepler Owen Gingerich | 52 |

Some Moral and Technical Consequences of Automation Norbert Wiener | 59 |

Statistics Sports and Some Other Things Robert Hooke | 148 |

Statistics Moliere and Henry Adams William Kruskal | 155 |

Deciding Authorship Frederick Mosteller and David L Wallace | 164 |

The Size of Things Herbert A Simon | 173 |

Mathematicians in Industrythe First 75 Years Thornton C | 179 |

Purity in Applications Tim Poston | 188 |

Applied Mathematics Is Bad Mathematics Paul R Halmos | 193 |

Early Years of the Mathematics Program at ONR Mina Rees | 201 |

Some Moral and Technical Consequences of AutomationA Refutation Arthur L Samuel | 66 |

part two Mathematics in Art and Nature | 69 |

Beauty in Mathematics Francois Le Lionnais | 71 |

Architecture and the Mathematical Spirit Le Corbusier | 89 |

Mathematics and Music Henri Martin | 99 |

Does Pure Mathematics Have a Relation to the Sciences? Felix E Browder | 104 |

The Unreasonable Effectiveness of Mathematics in the Natural Sciences Eugene P Wigner | 116 |

Nonanalytic Aspects of Mathematics and Their Implication for Research and Education Philip J Davis and James A Anderson | 126 |

Mathematics and Population Nathan Keyfitz | 141 |

part three Counting Guessing Using | 147 |

part four Sociology and Education | 207 |

Where and Why Elizabeth Fennema | 209 |

Rigor Versus Intuition in Mathematics John G Kemeny | 222 |

Some Social Characteristics of Mathematicians and Their Work Charles S Fisher | 230 |

Mathematics as Propaganda Neal Koblitz | 248 |

Can We Make Mathematics Intelligible? R P Boas | 255 |

The Nature of Current Mathematical Research Morris Kline | 261 |

Two Reviews of Why the Professor Cant Teach Harry Pollard and Peter Hilton | 274 |

How to Teach a Robot Marvin Minsky | 284 |

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