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020 |a9789400770584|9978-94-007-7058-4
024 7 |a10.1007/978-94-007-7058-4|2doi
041 |aeng
049 |aTürk Tarih Kurumu Kütüphanesi
050 4|aQ174-175.3
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090 |aDK/8387
100 1 |aFriend, Michèle.|eauthor.|4aut|4http://id.loc.gov/vocabulary/relators/aut
245 10|aPluralism in Mathematics: A New Position in Philosophy of Mathematics|h[electronic resource] /|cby Michèle Friend.
250 |a1st ed. 2014.
264 1|aDordrecht :|bSpringer Netherlands :|bImprint: Springer,|c2014.
300 |aXVII, 291 p. 16 illus.|bonline resource.
336 |atext|btxt|2rdacontent
337 |acomputer|bc|2rdamedia
338 |aonline resource|bcr|2rdacarrier
347 |atext file|bPDF|2rda
490 1 |aLogic, Epistemology, and the Unity of Science,|x2214-9783 ;|v32
505 0 |aIntroduction -- 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.
520 |aThis 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. .
650 0|aScience|xPhilosophy.
650 0|aMathematical logic.
650 0|aLogic.
650 14|aPhilosophy of Science.
650 24|aMathematical Logic and Foundations.
650 24|aLogic.
710 2 |aSpringerLink (Online service)
773 0 |tSpringer Nature eBook
776 08|iPrinted edition:|z9789400770577
776 08|iPrinted edition:|z9789400770591
776 08|iPrinted edition:|z9789402402001
830 0|aLogic, Epistemology, and the Unity of Science,|x2214-9783 ;|v32
856 40|uhttps://doi.org/10.1007/978-94-007-7058-4
912 |aZDB-2-SHU
912 |aZDB-2-SXPR
950 |aHumanities, Social Sciences and Law (SpringerNature-11648)
950 |aPhilosophy and Religion (R0) (SpringerNature-43725)