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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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Introduction

Introduction

Chapter:
(p.1) Introduction
Source:
The Reason's Proper Study
Author(s):

Bob Hale (Contributor Webpage)

Crispin Wright (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/0198236395.003.0001

The introduction to The Reason's Proper Study outlines how the essays collected in this volume fit into the broader neo‐Fregean philosophical programme. The notion of an ’abstraction principle’ is introduced and the basic neo‐Fregean account of arithmetic is outlined. Central theses here include the idea that platonism can be underwritten by a proper syntactical analysis of the notion of 'singular term’ (the ’context principle for reference’), and the logicist claim that abstraction principles can give rise to a priori knowledge of the abstracta they introduce. Some of the central challenges facing these proposals are outlined, and possible extensions of the programme beyond arithmetic are canvassed.

Keywords:   abstraction principle, context principle, Frege, logicism, platonism, singular terms

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