Philosophia Mathematica 10 (3):304-323 (2002)

Abstract
Defining the real numbers by abstraction as ratios of quantities gives prominence to then- applications in just the way that Frege thought we should. But if all the reals are to be obtained in this way, it is necessary to presuppose a rich domain of quantities of a land we cannot reasonably assume to be exemplified by any physical or other empirically measurable quantities. In consequence, an explanation of the applications of the reals, defined in this way, must proceed indirectly. This paper explains the main complications involved and answers the main objections advanced in Batitsky's paper in this issue.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1093/philmat/10.3.304
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 60,901
Through your library

References found in this work BETA

Die Grundlagen der Arithmetik.Gottlob Frege - 1988 - Felix Meiner Verlag.
Frege: Philosophy of Mathematics.Michael Dummett - 1991 - Harvard University Press.
Frege: Philosophy of Mathematics. [REVIEW]Charles Parsons - 1996 - Philosophical Review 105 (4):540.

View all 15 references / Add more references

Citations of this work BETA

What is Neologicism?Bernard Linsky & Edward N. Zalta - 2006 - Bulletin of Symbolic Logic 12 (1):60-99.

Add more citations

Similar books and articles

Analytics

Added to PP index
2009-01-28

Total views
96 ( #109,005 of 2,439,094 )

Recent downloads (6 months)
3 ( #209,135 of 2,439,094 )

How can I increase my downloads?

Downloads

My notes