Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1160416 | Studies in History and Philosophy of Science Part A | 2011 | 6 Pages |
Abstract
This paper presents an account of the fruitfulness of new mathematical calculi in terms of their relationship to existing mathematical methods which is suggested by Carl Friedrich Gauss. This is done by considering some remarks that Gauss made explaining the fruitfulness of new calculi. These can be clarified in the context of his own (very fruitful) theory of congruences, which is considered as a case study for this alternative account. Such an account has the benefit of not being dependent on a particular metaphysical view in the philosophy of mathematics.
Related Topics
Social Sciences and Humanities
Arts and Humanities
History
Authors
Audrey Yap,