Pluralism in Mathematics: A New Position in Philosophy of Mathematics
Buch in deiner Nähe kaufen
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, 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.
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.
Offers a radical approach, developing a position on Pluralism Provides a cross disciplinary approach, drawing upon mathematical positions whilst presenting a philosophical account Scrutinizes the transcendental presentation of Pluralism
Autor*in
Michèle Friend
Themen in »Pluralism in Mathematics: A New Position in Philosophy of Mathematics«
formalism and pluralism from formalism to pluralism from structuralism to pluralism metaphorical use of logic paradoxes of tolerance pluralist approaches in mathematics transcendental paradoxes