Volume
22
Issue
3
Abstract
Mathematics is the result of a long process of research with the instruments of rationality that each age makes available to its members. Euclidean geometry crystallizes an impulse of deductive rationality. But this impulse has not always been the dominant one. At other times, such as the one we are going to explain in this part, a form of inductive reasoning has been given primacy. We will see the development of ideas that today constitute the foundations of the Calculus and that indicated the future task of its deductive consolidation. Our protagonist, the bold sailor, was identified as one who calculated without apparent inductive effort, just as eagles hover in the air.
First Page
219
Last Page
228
Recommended Citation
Moreno-Armella, Luis and Brady, Corey
(2025)
"Part 2: Sailor on the Seas of Infinity,"
The Mathematics Enthusiast: Vol. 22
:
No.
3
, Article 3.
DOI: https://doi.org/10.54870/1551-3440.1659
Available at:
https://scholarworks.umt.edu/tme/vol22/iss3/3
Digital Object Identifier (DOI)
10.54870/1551-3440.1659
Publisher
University of Montana, Maureen and Mike Mansfield Library
