 Great Feuds in Mathematics: Ten of the Liveliest Disputes Ever
ISBN: 978-0-471-64877-2
Hardcover
256 pages
September 2006
US $24.95
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Introduction.
1. Tartaglia versus Cardano • Solving Cubic Equations.
2. Descartes versus Fermat • Analytic Geometry and Optics.
3. Newton versus Leibniz • Credit for the Calculus.
4. Bernoulli versus Bernoulli • Sibling Rivalry of the Highest Order.
5. Sylvester versus Huxley • Mathematics: Ivory Tower or Real World?
6. Kronecker versus Cantor • Mathematical Humbug.
7. Borel versus Zermelo • The “Notorious Axiom”.
8. Poincaré versus Russell • The Logical Foundations of Mathematics.
9. Hilbert versus Brouwer • Formalism versus Intuitionism.
10. Absolutists/Platonists versus Fallibilists/Constructivists • Are Mathematical Advances Discoveries or Inventions?
Epilogue.
Notes.
Bibliography.
Index.
