Abstract
The main thesis of this paper is that, Contrary to general belief, George berkeley did in fact express a coherent philosophy of mathematics in his major published works. He treated arithmetic and geometry separately and differently, And this paper focuses on his philosophy of arithmetic, Which is shown to be strikingly similar to the 19th and 20th century philosophies of mathematics known as 'formalism' and 'instrumentalism'. A major portion of the paper is devoted to showing how this philosophy of mathematics follows directly from berkeley 's theory of signs and his philosophy of language, And from his discovery of an alternative to the correspondence theory of truth used by most of his predecessors
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1016/0039-3681(72)90019-2
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: 54,646
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

The Development of Logic.Benson Mates - 1962 - Journal of Symbolic Logic 27 (2):213-217.
The Development of Logic.William Kneale & Martha Kneale - 1962 - Studia Logica 15:308-310.

Add more references

Citations of this work BETA

How Berkeley's Gardener Knows His Cherry Tree.Kenneth L. Pearce - 2017 - Pacific Philosophical Quarterly 98 (S1):553-576.
Berkeley, the Ends of Language, and the Principles of Human Knowledge.P. J. E. Kail - 2007 - Proceedings of the Aristotelian Society 107 (1pt3):265-278.
Berkeley et les idées générales mathématiques.Claire Schwartz - 2010 - Revue Philosophique de la France Et de l'Etranger 135 (1):31.

Add more citations

Similar books and articles

Berkeley's Philosophy of Mathematics.Douglas M. Jesseph - 1993 - University of Chicago Press.
Berkeley's Philosophy of Mathematics.Jennifer Trusted - 1995 - History of European Ideas 21 (1):105-106.
Formalism.Michael Detlefsen - 2005 - In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford University Press. pp. 236--317.
The Formalist Foundations of Mathematics.Johann Von Neumann - 1964 - In P. Benacerraf H. Putnam (ed.), Philosophy of Mathematics. Prentice-Hall.
George Berkeley's Philosophy of Mathematics.Robert James Baum - 1969 - Dissertation, The Ohio State University
Outlines of a Formalist Philosophy of Mathematics.Haskell B. Curry - 1951 - Amsterdam: North-Holland Pub. Co..
Berkeley's Philosophy of Mathematics.Douglas M. Jesseph - 1995 - In Kenneth Winkler (ed.), Philosophical Review. Cambridge University Press. pp. 126-128.

Analytics

Added to PP index
2010-09-02

Total views
53 ( #183,507 of 2,385,996 )

Recent downloads (6 months)
1 ( #555,436 of 2,385,996 )

How can I increase my downloads?

Downloads

My notes