
Publication details
Publisher: Kimé
Place: Koeln
Year: 2014
Pages: 113-129
Series: Philosophia Scientiae
Full citation:
, "The transition from formula-centered to concept-centered analysis Bolzano's purely analytic proof", Philosophia Scientiae 18 (1), 2014, pp. 113-129.


The transition from formula-centered to concept-centered analysis Bolzano's purely analytic proof
as a case study
pp. 113-129
in: Gerhard Heinzmann (ed), Standards of rigor in mathematical practice, Philosophia Scientiae 18 (1), 2014.Abstract
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.
Cited authors
Publication details
Publisher: Kimé
Place: Koeln
Year: 2014
Pages: 113-129
Series: Philosophia Scientiae
Full citation:
, "The transition from formula-centered to concept-centered analysis Bolzano's purely analytic proof", Philosophia Scientiae 18 (1), 2014, pp. 113-129.