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001 978-94-007-7058-4
003 DE-He213
005 20140220082529.0
007 cr nn 008mamaa
008 131120s2014 ne | s |||| 0|eng d
020 _a9789400770584
_9978-94-007-7058-4
024 7 _a10.1007/978-94-007-7058-4
_2doi
050 4 _aB67
072 7 _aPDA
_2bicssc
072 7 _aSCI075000
_2bisacsh
082 0 4 _a501
_223
100 1 _aFriend, Michèle.
_eauthor.
245 1 0 _aPluralism in Mathematics: A New Position in Philosophy of Mathematics
_h[electronic resource] /
_cby Michèle Friend.
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,
_x2214-9775 ;
_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 _aPhilosophy (General).
650 0 _aLogic.
650 0 _aScience
_xPhilosophy.
650 0 _aLogic, Symbolic and mathematical.
650 1 4 _aPhilosophy.
650 2 4 _aPhilosophy of Science.
650 2 4 _aMathematical Logic and Foundations.
650 2 4 _aLogic.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9789400770577
830 0 _aLogic, Epistemology, and the Unity of Science,
_x2214-9775 ;
_v32
856 4 0 _uhttp://dx.doi.org/10.1007/978-94-007-7058-4
912 _aZDB-2-SHU
999 _c93929
_d93929