What is the Difference Between a Definition and a Concept?
Science Journal of Education
Volume 4, Issue 5, October 2016, Pages: 159-168
Received: Sep. 21, 2016; Accepted: Oct. 1, 2016; Published: Oct. 27, 2016
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Authors
Michael F. Otte, University of Bielefeld, Bielefeld, Germany
Luiz G. X. de Barros, Universidade Anhanguera de São Paulo (UNIAN), São Paulo, Brasil
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Abstract
Definitions are formulated in order to draw conclusions and to solve technical problems. Tinkering around as long as it takes, until something halfway interesting comes out or can be concluded. Definitions are cognitive and communicative functions in the first place. Concepts, in contrast, are like continua relations and visions of possibilities. Mathematics seems to be that area of intellectual activity, where the difference between concepts and definitions and consequently the difference between seeing something on the one hand and calculating it on the other hand, gapes apart most strongly and widely. In this article, we discuss this difference from several viewpoints.
Keywords
Mathematics, Mathematics Education, Philosophy of Mathematics, Complementarity
To cite this article
Michael F. Otte, Luiz G. X. de Barros, What is the Difference Between a Definition and a Concept?, Science Journal of Education. Vol. 4, No. 5, 2016, pp. 159-168. doi: 10.11648/j.sjedu.20160405.14
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Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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