04440nam 22006375 450 991048400530332120220404222554.094-007-7058-810.1007/978-94-007-7058-4(CKB)3710000000075868(EBL)1591996(SSID)ssj0001067826(PQKBManifestationID)11630107(PQKBTitleCode)TC0001067826(PQKBWorkID)11094377(PQKB)11737691(MiAaPQ)EBC1591996(DE-He213)978-94-007-7058-4(PPN)176128506(EXLCZ)99371000000007586820131120d2014 u| 0engur|n|---|||||txtccrPluralism in mathematics: a new position in philosophy of mathematics[electronic resource] /by Michèle Friend1st ed. 2014.Dordrecht :Springer Netherlands :Imprint: Springer,2014.1 online resource (297 p.)Logic, Epistemology, and the Unity of Science,2214-9775 ;32Description based upon print version of record.1-336-19475-8 94-007-7057-X Includes bibliographical references and index.Introduction -- Part I. Motivating the Pluralist Position from Familiar Positions -- Chapter 1. Introduction. The Journey from Realism to Pluralism -- Chapter 2. Motivating Pluralism. Starting from Maddy’s Naturalism -- Chapter 3. From Structuralism to Pluralism -- Chapter 4. Formalism and Pluralism Co-written with Andrea Pedeferri -- Part II. Initial Presentation of Pluralism.- Chapter 5. Philosophical Presentation of Pluralism -- Chapter 6. Using a Formal Theory of Logic Metaphorically -- Chapter 7. Rigour in Proof Co-written with Andrea Pedeferri -- Chapter 8. Mathematical Fixtures -- Part III. Transcendental Presentation of Pluralism -- Chapter 9. The Paradoxes of Tolerance and the Transcendental Paradoxes -- Chapter 10. Pluralism Towards Pluralism -- Part IV. Putting Pluralism to Work. Applications -- Chapter 11. A Pluralist Approach to Proof in Mathematics -- Chapter 12. Pluralism and Together-Inconsistent Philosophies of Mathematics -- Chapter 13. Suggestions for Further Pluralist Enquiry -- Conclusion.This book is about philosophy, mathematics and logic, giving a philosophical account of Pluralism which is a family of positions in the philosophy of mathematics. There are four parts to this book, beginning with a look at motivations for Pluralism by way of Realism, Maddy’s Naturalism, Shapiro’s Structuralism and Formalism. In the second part of this book the author covers: the philosophical presentation of Pluralism; using a formal theory of logic metaphorically; rigour and proof for the Pluralist; and mathematical fixtures. In the third part the author goes on to focus on the transcendental presentation of Pluralism, and in part four looks at applications of Pluralism, such as a Pluralist approach to proof in mathematics and how Pluralism works in regard to together-inconsistent philosophies of mathematics. The book finishes with suggestions for further Pluralist enquiry. In this work the author takes a deeply radical approach in developing a new position that will either convert readers, or act as a strong warning to treat the word ‘pluralism’ with care.  .Logic, Epistemology, and the Unity of Science,2214-9775 ;32Philosophy and scienceMathematical logicLogicPhilosophy of Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/E34000Mathematical Logic and Foundationshttps://scigraph.springernature.com/ontologies/product-market-codes/M24005Logichttps://scigraph.springernature.com/ontologies/product-market-codes/E16000Philosophy and science.Mathematical logic.Logic.Philosophy of Science.Mathematical Logic and Foundations.Logic.510.1Friend Michèleauthttp://id.loc.gov/vocabulary/relators/aut1192629BOOK9910484005303321Pluralism in Mathematics: A New Position in Philosophy of Mathematics2851861UNINA