Authors
Peter Vickers
Durham University
Abstract
The ubiquitous assertion that the early calculus of Newton and Leibniz was an inconsistent theory is examined. Two different objects of a possible inconsistency claim are distinguished: (i) the calculus as an algorithm; (ii) proposed explanations of the moves made within the algorithm. In the first case the calculus can be interpreted as a theory in something like the logician’s sense, whereas in the second case it acts more like a scientific theory. I find no inconsistency in the first case, and an inconsistency in the second case which can only be imputed to a small minority of the relevant community.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
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: 54,385
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

Computability and Logic.George S. Boolos, John P. Burgess & Richard C. Jeffrey - 2003 - Bulletin of Symbolic Logic 9 (4):520-521.
Is Classical Electrodynamics an Inconsistent Theory?Gordon Belot - 2007 - Canadian Journal of Philosophy 37 (2):263-282.
Understanding the Infinite.Shaughan Lavine - 1994 - Harvard University Press.
Reason and the Search for Knowledge.Dudley Shapere - 1985 - Philosophy of Science 52 (2):310-312.

View all 14 references / Add more references

Citations of this work BETA

Mathematical Pluralism.G. Priest - 2013 - Logic Journal of the IGPL 21 (1):4-13.

Add more citations

Similar books and articles

Analytics

Added to PP index
2009-01-28

Total views
66 ( #146,261 of 2,362,053 )

Recent downloads (6 months)
5 ( #159,349 of 2,362,053 )

How can I increase my downloads?

Downloads

My notes