Naturalism in mathematics / / Penelope Maddy

• Autore: Maddy Penelope
• Pubblicazione: Oxford, : Clarendon Press; New York, : Oxford University Press, 1997
• Edizione: 1st ed.
• Descrizione fisica: viii, 254 p
• Disciplina: 510/.1
• Soggetto topico: Mathematics - Philosophy; Naturalism
• Nota di bibliografia: Includes bibliographical references (p. [235]-247) and index.
• Nota di contenuto: Intro -- Preface -- Contents -- PART I: THE PROBLEM -- 1. The Origins of Set Theory -- 2. Set Theory as a Foundation -- 3. The Standard Axioms -- 4. Independent Questions -- 5. New Axiom Candidates -- 6. V = L -- PART II: REALISM -- 1. Gödelian Realism -- 2. Quinean Realism -- 3. Set Theoretic Realism -- 4. A Realist's Case against V = L -- 5. Hints of Trouble -- 6. Indispensability and Scientific Practice -- 7. Indispensability and Mathematical Practice -- PART III: NATURALISM -- 1. Wittgensteinian Anti-Philosophy -- 2. A Second Gödelian Theme -- 3. Quinean Naturalism -- 4. Mathematical Naturalism -- 5. The Problem Revisited -- 6. A Naturalist's Case against V = L -- Conclusion -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Z.
• Sommario/riassunto: Naturalism in Mathematics investigates how the most fundamental assumptions of mathematics can be justified. One prevalent philosophical approach to the problem--realism--is examined and rejected in favour of another approach--naturalism. Penelope Maddy defines naturalism, explains the motivation for it, and shows how it can be successfully applied in set theory.
• Titolo autorizzato: Naturalism in mathematics
• ISBN: 0191518972; 9780191518973
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910958242803321
• Lo trovi qui: Univ. Federico II