Pluralism in Mathematics: A New Position i...

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Beschreibung

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, Shapirös 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.

Zusammenfassung

This book draws on philosophy, mathematics and logic to give an account of Pluralism, which is a family of positions in the philosophy of mathematics. Discussion ranges from motivation, to rigor and proof for the Pluralist, to applications in mathematics.

Inhaltsverzeichnis

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.¿

Details

Erscheinungsjahr:	2013
Fachbereich:	Allgemeines
Genre:	Philosophie
Jahrhundert:	Antike
Rubrik:	Geisteswissenschaften
Thema:	Lexika
Medium:	Buch
Reihe:	Logic, Epistemology, and the Unity of Science
Inhalt:	xvii 291 S. 16 s/w Illustr. 291 p. 16 illus.
ISBN-13:	9789400770577
ISBN-10:	940077057X
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Friend, Michèle
Hersteller:	Springer Netherland Springer Netherlands Logic, Epistemology, and the Unity of Science
Maße:	241 x 160 x 23 mm
Von/Mit:	Michèle Friend
Erscheinungsdatum:	04.12.2013
Gewicht:	0,635 kg

Artikel-ID: 105548411

Zusammenfassung

Inhaltsverzeichnis

Details

Erscheinungsjahr:	2013
Fachbereich:	Allgemeines
Genre:	Philosophie
Jahrhundert:	Antike
Rubrik:	Geisteswissenschaften
Thema:	Lexika
Medium:	Buch
Reihe:	Logic, Epistemology, and the Unity of Science
Inhalt:	xvii 291 S. 16 s/w Illustr. 291 p. 16 illus.
ISBN-13:	9789400770577
ISBN-10:	940077057X
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Friend, Michèle
Hersteller:	Springer Netherland Springer Netherlands Logic, Epistemology, and the Unity of Science
Maße:	241 x 160 x 23 mm
Von/Mit:	Michèle Friend
Erscheinungsdatum:	04.12.2013
Gewicht:	0,635 kg