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ERIC Number: EJ1054928
Record Type: Journal
Publication Date: 2015
Pages: 22
Abstractor: As Provided
Reference Count: 37
ISBN: N/A
ISSN: ISSN-1886-1350
Generalizing Is Necessary or Even Unavoidable
Otte, Michael F.; Mendonça, Tânia M.; de Barros, Luiz
PNA, v9 n3 p143-164 2015
The problems of geometry and mechanics have driven forward the generalization of the concepts of number and function. This shows how application and generalization together prevent that mathematics becomes a mere formalism. Thoughts are signs and signs have meaning within a certain context. Meaning is a function of a term: This function produces a pattern. Algebra or modern axiomatic come to mind, as examples. However, strictly formalistic mathematics did not pay sufficient attention to the fact that modern axiomatic theories require a complementary element, in terms of intended applications or models, not to end up in a merely formal game.
Universidad de Granada Didáctica de la Matemática: Persamiento Numerico, FQM-193. Campus de Cartuja, Granada, Spain 18071. Tel: +34-958-241503; Fax: +34-958-246359; e-mail: pna@ugr.es; Web site: http://www.pna.es
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A