Civilizar 13 (25):157-176 (2013)

Felipe Ochoa
Universidad de Antioquia
This article analyzes the epistemological legitimation of mathematics in natural philosophy in the seventeenth century. In the Renaissance it was claimed that mathematics does not meet the Aristotelian criteria of scientificity, and that it did not explain the efficient and final causes. So, its critics, inspired by the Aristotelian tradition, rejected the first attempts to mathematize natural philosophy. The epistemological conditions involved in the debate are examined on the scientific nature of mathematics and its relevance to natural philosophy. A historiographical tour of the mathematization of nature is made to provide new weighing elements with respect to a historically and philosophically more conceptual characterization of the emergence of modern science.
Keywords Mathematics  Philosophy of mathematics  Modern science  Piccolomini  Clavius  Barozzi  Barrow
Categories (categorize this paper)
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

PhilArchive copy

 PhilArchive page | Other versions
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
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

Alessandro Piccolomini and the Certitude of Mathematics.Daniele Cozzoli - 2007 - History and Philosophy of Logic 28 (2):151-171.
Towards a Philosophy of Applied Mathematics.Christopher Pincock - 2009 - In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave-Macmillan.
Philosophy of Mathematics.Leon Horsten - 2008 - Stanford Encyclopedia of Philosophy.
Philosophy of Mathematics.Christopher Pincock - 2011 - In J. Saatsi & S. French (eds.), Companion to the Philosophy of Science. Continuum. pp. 314-333.
Reflections on Mathematics.Edward N. Zalta - 2007 - In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
The NCTM Standards and the Philosophy of Mathematics.Charalampos Toumasis - 1997 - Studies in Philosophy and Education 16 (3):317-330.
Mathematics as a Science of Patterns.Michael D. Resnik - 1997 - New York ;Oxford University Press.


Added to PP index

Total views
259 ( #36,368 of 2,444,963 )

Recent downloads (6 months)
12 ( #57,029 of 2,444,963 )

How can I increase my downloads?


My notes