Pluralism In Mathematics: A New Position In Philosophy Of Mathematics - ENG
| ISBN: | 9789400770584 |
|---|---|
| Formato: | ePub |
| Idioma: | Inglés |
| Editorial: | Springer Nature |
| Tema: | Ciencia |
| Subtema: | Aspectos Filosóficos y Sociales |
| Año de publicación: | 2013-11-20 |
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 Naturalism, Shapiro 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. Â










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