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Author:   Philip A Ebert (University of Stirling) ,  Marcus Rossberg (University of Connecticut)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 15.80cm , Height: 2.50cm , Length: 24.10cm
Weight:   0.664kg
ISBN:  

9780199645268

ISBN 10:   0199645264
Pages:   368
Publication Date:   08 December 2016
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order  
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Table of Contents

I. Introduction 1: Philip A. Ebert and Marcus Rossberg: Introduction to Abstractionism II. Semantics and Ontology of Abstraction 2: William Stirton: Caesar and Circularity 3: Richard G. Heck, Jr.: The Existence (and Non-existence) of Abstract Objects 4: Matti Eklund: Hale and Wright on the Metaontology of Neo-Fregeanism 5: Fraser MacBride: Neo-Fregean Ontology: Just Don't Ask Too Many Questions 6: Friederike Moltmann: The Number of Planets, a Number-Referring Term? III. Epistemology of Abstraction 7: Philip A. Ebert: A Framework for Implicit Definitions and the A Priori 8: Crispin Wright: Abstraction and Epistemic Entitlement: On the Epistemological Status of Hume's Principle 9: Nikolaj Jang Lee Linding Pedersen: Hume's Principle and Entitlement: On the Epistemology of the Neo-Fregean Programme 10: Agustín Rayo: Neo-Fregeanism Reconsidered IV. Mathematics of Abstraction 11: Roy T. Cook: Conservativeness, Cardinality, and Bad Company 12: Øystein Linnebo: Impredicativity in the Neo-Fregean Programme 13: Hannes Leitgeb: Abstraction Grounded: A Note on Abstraction and Truth 14: Stewart Shapiro and Gabriel Uzquiano: Ineffability within the Limits of Abstraction Alone V. Application Constraint 15: Paul McCallion: On Frege's Applications Constraint 16: Peter Simons: Applications of Complex Numbers and Quaternions: Historical Remarks, with a Note on Clifford Algebra 17: Bob Hale: Definitions of Numbers and Their Applications

Reviews

This volume is a most welcome and comprehensive addition to the scholarship in abstractionism. This volume is a collection of some of the best work that has been done on abstractionism in the philosophy of mathematics. It provides valuable and wide-raging insights into the ongoing debates in the philosophical and mathematical foundations of abstractionism. It is, thus, strongly recommended to anyone interested in these areas. * Bahram Assadian, Analysis *

This volume is a most welcome and comprehensive addition to the scholarship in abstractionism. This volume is a collection of some of the best work that has been done on abstractionism in the philosophy of mathematics. It provides valuable and wide-raging insights into the ongoing debates in the philosophical and mathematical foundations of abstractionism. It is, thus, strongly recommended to anyone interested in these areas.

Author Information

Philip A. Ebert received his PhD in Philosophy from the University of St Andrews in 2006 and was a Post Doctoral Fellow at the Arché Centre from 2005-2007. He is currently a Senior Lecturer at the University of Stirling. ; Marcus Rossberg received his PhD in Philosophy from the University of St Andrews in 2006 and was a Post Doctoral Fellow at the Arché Centre from 2005-2008. He is currently an Associate Professor at the University of Connecticut.

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