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Record Nr. |
UNINA9910464577203321 |
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Autore |
Stillwell John |
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Titolo |
Roads to infinity : the mathematics of truth and proof / / John Stillwell |
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Pubbl/distr/stampa |
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Natick, Mass. : , : A.K. Peters, , 2010 |
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ISBN |
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0-429-10494-4 |
1-4398-6550-7 |
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Descrizione fisica |
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1 online resource (202 p.) |
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Disciplina |
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Soggetti |
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Set theory |
Infinite |
Logic, Symbolic and mathematical |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Front Cover; Contents; Preface; - Chapter 1 - The Diagonal Argument; - Chapter 2 - Ordinals; - Chapter 3 - Computability and Proof; - Chapter 4 - Logic; - Chapter 5 - Arithmetic; - Chapter 6 - Natural Unprovable Sentences; - Chapter 7 - Axioms of Infinity; Bibliography; Back Cover |
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Sommario/riassunto |
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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 |
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