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John Horton Conway, the playful and legendary mathematician's wide range of contributions in science which includes research areas—Game of Life in cellular automata, theory of finite groups, knot theory, number theory, combinatorial game theory, and coding theory.
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This Element shows that Plato keeps a clear distinction between mathematical and metaphysical realism. It also shows that methodological commitments to... Læs mere
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This book uses fascinating tales from Greek Mythology as the background for introducing mathematics puzzles to the general public. A background in high... Læs mere
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This book uses fascinating tales from Greek Mythology as the background for introducing mathematics puzzles to the general public. A background in high... Læs mere
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This book is concerned with the problem of existence in mathematics. It develops a mathematical system in which there are no existence assertions but only assertions of the constructibility of certain sorts of things.
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'Reason's Nearest Kin' is a critical examination of the most exciting period there has been in the philosophical study of the... Læs mere
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Covers the evolution of mathematics through time and across the major Eastern and Western civilizations. This book begins in Babylon, then... Læs mere
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Based on the author's teaching notes, this comprehensive text covers the basics of classical logic,... Læs mere
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Richard G. Heck presents a new account of Gottlob Frege's Grundgesetze der Arithmetik, or Basic Laws of Arithmetic, which establishes it as a neglected masterpiece at the... Læs mere
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Our conception of logical space is the set of distinctions we use to navigate the world. Agustín Rayo argues that this is shaped by acceptance or rejection of 'just... Læs mere
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This book introduces a set of methods and techniques for studying mathematical theories and relating them to each other through the use of Grothendieck toposes.