A Husserlian Perspective on Empirical Mathematics in Aristotle

Proceedings of the American Catholic Philosophical Association 80:91-99 (2006)
  Copy   BIBTEX

Abstract

Examples are presented of Aristotle’s use of non-idealized mathematics. Distinctions Husserl makes in Crisis help to delineate the features of this empiricalmathematics, which include the non-persistence of mathematical aspects of things and the selective application of mathematical traits and proper accidents. In antiquity, non-abstracted mathematics was involved with practical sciences that treat motion. The suggestion is made that these sciences were incorporated by Aristotle into natural philosophy without first being abstracted as pure mathematics—a state of affairs not envisioned by Husserl, for whom science recast natural ontology by means of the idealization of pure mathematics. The relation of empirical mathematics to life-world ontology is considered

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 89,311

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Apriority and applied mathematics.Robert A. Holland - 1992 - Synthese 92 (3):349 - 370.
Towards a Philosophy of Applied Mathematics.Christopher Pincock - 2009 - In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave-Macmillan.
Visualizations in mathematics.Kajsa Bråting & Johanna Pejlare - 2008 - Erkenntnis 68 (3):345 - 358.
Aristotle on Mathematical Truth.Phil Corkum - 2012 - British Journal for the History of Philosophy 20 (6):1057-1076.

Analytics

Added to PP
2009-01-28

Downloads
44 (#312,396)

6 months
1 (#999,496)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Jean De Groot
Catholic University of America

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references