About Kan De Geschiedenis Ons Iets Leren Over De Structuur Van Wiskundig Denken? [Can History Teach Us Somethign About the Structure of Mathematical Thinking?]
| Authors | Kuyk, Willem |
|---|---|
| Date | 1980 |
| Publication | Wiskunde en Onderwijs |
| Vol / Pages | Vol. 24; 27 pp. 415-427; 357-374 |
Type: Journal Article
Tags: abstract mathematics, Artificial intelligence, complementarity, history of mathematics, intuition, Kuhn, NotAvail, philosophy of mathematics
Abstract
Presents a cusp model incorporating intuition and the dichotomies of the analytic/synthetic, abstract/concrete, and symbolic/model-theoretic. Relates it to Kuhnian revolutions in mathematics, to artificial intelligence, and to his philosophy of complementarity in mathematics. [GBC]