The Book of Infinity

Beschreibung:

Neuware -A rich, thorough exploration of infinity that combines mathematical precision with playful, accessible coverage of a fascinating variety of paradoxes and conundrums.In this rich, thorough account of all things infinite, Joel David Hamkins combines playful thought experiments with mathematically precise exposition to explore the vast, fascinating spectrum of paradoxes and conundrums of infinity. Written with equal parts wonder and rigor, the book moves from classical paradoxes (Zeno, Hilbert s hotel, Aristotle s wheel) to Cantor s transfinite arithmetic, the continuum hypothesis, surreal numbers, infinitesimals, epistemic logic puzzles, and contemporary debates about potential vs. actual infinity. Twenty-five lively, self-contained chapters are enriched by extensive illustrations, diagrams, figures, and Fermi-style estimation puzzles. Highly readable and pedagogically rich, The Book of Infinity is ideal for undergraduate philosophy and math students and enthusiasts of logical and mathematical curiosities alike.- Approaches a wide range of ideas with both rigor and delight- Renders deep mathematical ideas accessible to beginners- Emphasizes intuition and deep conceptual understanding- Integrates historical perspectives and contemporary issues- Suits anyone interested in paradoxes, large numbers, and conceptual puzzlesEasy Access System Europe Oü, 16879218, Mustamäe tee 50, 10621, Tallinn, Estonia, Tallinn 400 pp. Englisch. Bestandsnummer des Verkäufers 9780262054010

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Über die Autorin bzw. den Autor: Joel David Hamkins is the O’Hara Professor of Logic at the University of Notre Dame and author of Lectures on the Philosophy of Mathematics and Proof and the Art of Mathematics, both published by the MIT Press, as well as the popular newsletter Infinitely More.