Pluralism in Mathematics: A New Position in Philosophy of Mathematics

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 St...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Friend, Michèle (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Dordrecht : Springer Netherlands : Imprint: Springer, 2014.
Σειρά:Logic, Epistemology, and the Unity of Science, 32
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Pluralism in Mathematics: A New Position in Philosophy of Mathematics  |h [electronic resource] /  |c by Michèle Friend. 
264 1 |a Dordrecht :  |b Springer Netherlands :  |b Imprint: Springer,  |c 2014. 
300 |a XVII, 291 p. 16 illus.  |b online resource. 
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490 1 |a Logic, Epistemology, and the Unity of Science,  |x 2214-9775 ;  |v 32 
505 0 |a 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. 
520 |a 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.  . 
650 0 |a Philosophy. 
650 0 |a Logic. 
650 0 |a Philosophy and science. 
650 0 |a Mathematical logic. 
650 1 4 |a Philosophy. 
650 2 4 |a Philosophy of Science. 
650 2 4 |a Mathematical Logic and Foundations. 
650 2 4 |a Logic. 
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776 0 8 |i Printed edition:  |z 9789400770577 
830 0 |a Logic, Epistemology, and the Unity of Science,  |x 2214-9775 ;  |v 32 
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