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Pluralism in Mathematics: A New Position in Philosophy of Mathematics

Michèle Friend
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      FORMAT: Hardback
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      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.  
      Format: Hardback CONTRIBUTORS: Michèle Friend EAN: 9789400770577 COUNTRY: Netherlands PAGES: WEIGHT: 5915 g HEIGHT: 235 cm
      PUBLISHED BY: Springer DATE PUBLISHED: 2013-12-04 CITY: GENRE: MATHEMATICS / Logic, PHILOSOPHY / Logic, SCIENCE / Philosophy & Social Aspects WIDTH: 155 cm SPINE:

      Book Themes:

      Mathematical foundations, Mathematical logic, Philosophy of science, Philosophy: logic

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      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.  
      Format: Hardback CONTRIBUTORS: Michèle Friend EAN: 9789400770577 COUNTRY: Netherlands PAGES: WEIGHT: 5915 g HEIGHT: 235 cm
      PUBLISHED BY: Springer DATE PUBLISHED: 2013-12-04 CITY: GENRE: MATHEMATICS / Logic, PHILOSOPHY / Logic, SCIENCE / Philosophy & Social Aspects WIDTH: 155 cm SPINE:

      Book Themes:

      Mathematical foundations, Mathematical logic, Philosophy of science, Philosophy: logic

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