What can the history of mathematics learn from philosophy? A case study in Newton’s presentation of the calculus.

Philosophia Mathematica 4 (1):35-57 (1989)
Abstract
One influential interpretation of Newton's formulation of his calculus has regarded his work as an organized, cohesive presentation, shaped primarily by technical issues and implicitly motivated by a knowledge of the form which a "finished" calculus should take. Offered as an alternative to this view is a less systematic and more realistic picture, in which both philosophical and technical considerations played a part in influencing the structure and interpretation of the calculus throughout Newton's mathematical career. This analysis sees the development of Newton's calculus not principally as a calculated movement toward "rigorous" justification (in the sense of Cauchy, Weierstrass, and their 19th century contemporaries) and refinement of techniques, but as an evolution in the light of his involvement in debates over philosophical and scientific issues central to the rise of modern philosophy and science in the 17th and early 18th centuries.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1093/philmat/s2-4.1.35
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,106
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Lakatos as Historian of Mathematics.Brendan P. Larvor - 1997 - Philosophia Mathematica 5 (1):42-64.
Towards a Philosophy of Applied Mathematics.Christopher Pincock - 2009 - In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave-Macmillan.
Offene Fragen in der Historiographie der Mathematik.Peter Schreiber - 1997 - NTM International Journal of History and Ethics of Natural Sciences, Technology and Medicine 5 (1):253-260.
Lakatos' Philosophy of Mathematics: A Historical Approach.T. Koetsier - 1991 - Distributors for the U.S. And Canada, Elsevier Science Pub. Co..
Reflections on Mathematics.Edward N. Zalta - 2007 - In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
The Modern Aspect of Mathematics.Lucienne Félix - 1960 - New York: Basic Books.

Monthly downloads

Added to index

2010-08-24

Total downloads

18 ( #271,773 of 2,171,744 )

Recent downloads (6 months)

1 ( #326,702 of 2,171,744 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums