Zur Startseite gehen
0,00 €*
Cover: 9789400770577 | Pluralism in Mathematics: A New Position in Philosophy of Mathematics
Dekorationsartikel gehören nicht zum Leistungsumfang.
Pluralism in Mathematics: A New Position in Philosophy of Mathematics
Buch von Michèle Friend
Sprache: Englisch

92,45 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 2-3 Wochen

Kategorien:
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.
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: Importe, 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
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 23 mm
Von/Mit: Michèle Friend
Erscheinungsdatum: 04.12.2013
Gewicht: 0,635 kg
Artikel-ID: 105548411
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: Importe, 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
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 23 mm
Von/Mit: Michèle Friend
Erscheinungsdatum: 04.12.2013
Gewicht: 0,635 kg
Artikel-ID: 105548411
Sicherheitshinweis

Ähnliche Produkte

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...