Pluralism in Mathematics: A New Position in Philosophy of Mathematics, Softcover reprint of the original 1st ed. 2014 Logic, Epistemology, and the Unity of Science Series, Vol. 32
Auteur : Friend Michèle
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.
Date de parution : 08-2016
Ouvrage de 291 p.
15.5x23.5 cm
Date de parution : 12-2013
Ouvrage de 291 p.
15.5x23.5 cm