NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
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INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
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Includes bibliographical references and index.
CONTENTS NOTE
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Tartaglia versus Cardano. Solving cubic equations -- Descartes versus Fermat. Analytic geometry and optics -- Newton versus Leibniz. Credit for the calculus -- Bernoulli versus Bernoulli. Sibling rivalry of the highest order -- Sylvester versus Huxley. Ivory tower or real world? -- Kronecker versus Cantor. Mathematical insanity -- Borel versus Zermelo. The "notorious axiom" -- Poincar versus Russell. The logical foundations of mathematics -- Hilbert versus Brouwer. Formalism versus intuitionism -- Absolutists/platonists versus fallibilists/constructionists. Are mathematical advances discoveries or inventions?
Text of Note
Tartaglia versus Cardano. Solving cubic equations -- Descartes versus Fermat. Analytic geometry and optics -- Newton versus Leibniz. Credit for the calculus -- Bernoulli versus Bernoulli. Sibling rivalry of the highest order -- Sylvester versus Huxley. Ivory tower or real world? -- Kronecker versus Cantor. Mathematical humbug -- Borel versus Zermelo. The "notorious axiom" -- Poincarae versus Russell. The logical foundations of mathematics -- Hilbert versus Brouwer. Formalism versus intuitionism -- Absolutists/platonists versus fallibilists/constructionists. Are mathematical advances discoveries or inventions?