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Analytic Philosophy in AmericaAnd Other Historical and Contemporary Essays$
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Scott Soames

Print publication date: 2014

Print ISBN-13: 9780691160726

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691160726.001.0001

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What Is the Frege/Russell Analysis of Quantification?

What Is the Frege/Russell Analysis of Quantification?

(p.191) 8 What Is the Frege/Russell Analysis of Quantification?
Analytic Philosophy in America

Scott Soames

Princeton University Press

This chapter develops a puzzle for the Frege–Russell analysis of quantification, widely seen as a fundamental advance in semantics and philosophical logic. Abstracting away from details idiosyncratic to each, the key idea is that quantifiers express higher-level properties that are predicated of lower-level properties. The two philosophers express these properties of properties analysis slightly differently. Whereas Russell talks of properties of propositional functions (which are functions from objects to structured propositions), Frege speaks of senses that present higher-level concepts that are predicated of lower-level concepts. Since the issues raised are neutral between these different frameworks, the discussion is confined to property talk.

Keywords:   Frege–Russell analysis, quantification, analytic philosophy, semantics, logic, quantifiers, properties

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