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The Reason's Proper StudyEssays towards a Neo-Fregean Philosophy of Mathematics$
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Bob Hale and Crispin Wright

Print publication date: 2001

Print ISBN-13: 9780198236399

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/0198236395.001.0001

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(p.421) Postscript
The Reason's Proper Study

Bob Hale (Contributor Webpage)

Crispin Wright (Contributor Webpage)

Oxford University Press

This postscript outlines 18 outstanding issues for the neo‐Fregean programme, which are divided into three categories. The first of these concerns the nature and philosophical significance of the abstraction principles on which the foundational neo‐logicist programme is based. The second section concerns the underlying (second order) logic in terms of which Hume's Principle and similar abstractions are framed. The final set of challenges concern extensions of the neo‐Fregean approach beyond arithmetic. Some of the problems raised in the postscript are considered in papers included in this volume, others sketch new directions for research.

Keywords:   abstraction principle, Hume's Principle, logic, logicism, neo‐Fregean

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