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Chargement... Roads to Infinity: The Mathematics of Truth and Proofpar John Stillwell
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Inscrivez-vous à LibraryThing pour découvrir si vous aimerez ce livre Actuellement, il n'y a pas de discussions au sujet de ce livre. A nifty and accessible (for people who like math) little book on set theory, mathematical logic, computability theory, incompleteness, unsolvability, and _large_ transfinite cardinals. One thing I knew little or nothing about before: induction over transfinite ordinals -- used, for example, in proving the consistency of arithmetic. "A better understanding of finite objects depends on a better understanding of infinity." (p 165) aucune critique | ajouter une critique
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Winner of a CHOICE Outstanding Academic Title Award for 2011!This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is historical and partly informal, but with due attention to the subtleties of the subject. Ideas are shown to evolve from natural mathematical questions about the nature of infinity and the nature of proof, set against a background of broader questions Aucune description trouvée dans une bibliothèque |
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Google Books — Chargement... GenresClassification décimale de Melvil (CDD)511.3Natural sciences and mathematics Mathematics General Principles Mathematical (Symbolic) logicClassification de la Bibliothèque du CongrèsÉvaluationMoyenne:
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This book, in particular, leaves me with some sense of dissatisfaction. I'm not much of a "big picture" mathematician; I've often said and felt that the truth is in the details.
I've got a couple of Stillwell's other books with me at home to help keep me occupied during the time of social distancing, but I think I'll be balancing those with some non-expository reading to keep me grounded. ( )