## Cogwheels of the Mind: The Story of Venn DiagramsUsed today in spheres of life as diverse as business strategy, creative writing, medicine, computer science, and theoretical physics, Venn diagrams possess fascinating properties. The basic Venn diagram is both elegantly simple—three overlapping circles that intersect to create eight distinct areas—and conceptually innovative. Devised by English logician John Venn (1834–1923) to visually represent complex logical propositions and algebraic statements, the diagrams drew the excited interest of both scholars and the general public. In Edwards begins with a sketch of Venn's life, his discovery of the three-circle design while developing a series of lectures on symbolic logic at Cambridge University, and the publication of his find in an 1880 paper, and, more influentially, his 1881 book, Edwards goes on to show how different shapes can be linked together to form artistically beautiful and mathematically important, multi-set Venn diagrams, including the author's own influential Adelaide variation. And he delineates the possibilities for expanding the analytic power of these diagrams far beyond those first appreciated by Venn. Edwards even tells readers how to draw complex Venn diagrams on a spherical surface to create "Vennis balls." For anyone interested in mathematics or its history, |

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User Review - fpagan - LibraryThingSlim, as befits the subject, but various points still confused me. Read full review

### Contents

John Venn and His Logic Diagram | 1 |

Rings Flags and Balls | 17 |

Five and More Sets | 29 |

The Gray Code Binomial Coefficients and the RevolvingDoor Algorithm | 47 |

Cosine Curves Sine Curves | 61 |

Ironing the Hypercube | 77 |