The Oxford handbook of philosophy of mathematics and logic / / edited by Stewart Shapiro

• Record Nr.: UNINA9910822242103321
• Pubbl/distr/stampa: Oxford ; ; New York, : Oxford University Press, 2005
• ISBN: 1-280-55882-2; 9781423720083; 9786610558827; 0-19-803399-0; 1-4237-2008-3
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (850 p.)
• Collana: Oxford handbooks in philosophy
• Altri autori (Persone): ShapiroStewart <1951->
• Disciplina: 510/.1
• Soggetti: Mathematics - Philosophy; Logic, Symbolic and mathematical - Philosophy
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""Contents""; ""Notes on the Contributors""; ""1. Philosophy of Mathematics and Its Logic: Introduction""; ""2. Apriority and Application: Philosophy of Mathematics in the Modern Period""; ""3. Later Empiricism and Logical Positivism""; ""4. Wittgenstein on Philosophy of Logic and Mathematics""; ""5. The Logicism of Frege, Dedekind, and Russell""; ""6. Logicism in the Twenty-first Century""; ""7. Logicism Reconsidered""; ""8. Formalism""; ""9. Intuitionism and Philosophy""; ""10. Intuitionism in Mathematics""; ""11. Intuitionism Reconsidered""; ""12. Quine and the Web of Belief""; ""13. Three Forms of Naturalism""""14. Naturalism Reconsidered""; ""15. Nominalism""; ""16. Nominalism Reconsidered""; ""17. Structuralism""; ""18. Structuralism Reconsidered""; ""19. Predicativity""; ""20. Mathematicsâ€?Application and Applicability""; ""21. Logical Consequence, Proof Theory, and Model Theory""; ""22. Logical Consequence From a Constructivist Point of View""; ""23. Relevance in Reasoning""; ""24. No Requirement of Relevance""; ""25. Higher-order Logic""; ""26. Higher-order Logic Reconsidered""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Y""; ""Z""
• Sommario/riassunto: This Oxford Handbook covers the current state of the art in the philosophy of math and logic in a comprehensive and accessible manner, giving the reader an overview of the major problems positions, and battle lines. Select major positions are represented by two chapters - one supportive and one critical.