Repository | Journal | Volume | Articles
(2014) Philosophia Scientiae 18 (1).
The transition from formula-centered to concept-centered analysis Bolzano's purely analytic proof
as a case study
Iris Loeb , Stefan Roski
pp. 113-129
In the 18th and 19th centuries two transitions took place in the development of mathematical analysis: a shift from the geometric approach to the formula-centered approach, followed by a shift from the formula-centered approach to the concept-centered approach. We identify, on the basis of Bolzano's Purely Analytic Proof [Bolzano 1817], the ways in which Bolzano's approach can be said to be concept-centered. Moreover, we conclude that Bolzano's attitude towards the geometric approach on the one hand and the formula-centered approach on the other were of a different nature; the former being one of rejection, the latter of non-participation. Bolzano supports his concept-centered methodology by philosophical views, which were partially shared by mathematicians with a formula-centered approach to analysis.
Publication details
DOI: 10.4000/philosophiascientiae.916
Full citation:
Loeb, I. , Roski, S. (2014). The transition from formula-centered to concept-centered analysis Bolzano's purely analytic proof: as a case study. Philosophia Scientiae 18 (1), pp. 113-129.
This document is available at an external location. Please follow the link below. Hold the CTRL button to open the link in a new window.
