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Papers

Is "Creative Subject" of Brouwer a Designer? An Analysis of Intuitionist Mathematics From the Viewpoint of C-K Design Theory

Is "Creative Subject" of Brouwer a Designer? An Analysis of Intuitionist Mathematics From the Viewpoint of C-K Design Theory

Year: 2009

Section: Design Theory and Research Methodology

Editor: Norell Bergendahl, M.; Grimheden, M.; Leifer, L.; Skogstad, P.; Lindemann, U.

Author: Kazakci, Akin Osman; Hatchuel, Armand

Section: Design Theory and Research Methodology

Pages: 347-358

Abstract

The paper considers one of the main constructive mathematical theories - the Intuitionist Mathematics. Brouwer, the father of Intuitionist Mathematics, describes mathematics as the study of mental mathematical constructions realized by a creative subject. This perspective on mathematics represents many similarities with more conventional design processes. By analyzing Brouwer work and mathematical philosophy, we identify the reasoning process Brouwer explains as a conceptive reasoning process. We point out some interesting parallels and similarities between Brouwer's work and another theory of creativity as conceptive reasoning process coming from design research ? namely, the C-K design theory. We argue that, even though the concept space of C-K theory is not explicitly represented, Intuitionist Mathematics authorize, and even welcome, concepts and the reasoning process of the creative subject implicitly makes use of them. This, result combined with many parallels between the C-K theory and Intuitionist Mathematics, opens up interesting research perspectives.

Keywords: C-K design theory, Intuitionism, creative subject, design and mathematics, conceptive reasoning

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ds conferenceICED09: 17th International Conference on Engineering Design

The Design Society and the Stanford Center for Design Research cordially invite you to participate in the International Conference on Engineering Design, ICED'09. The venue will be Stanford University’s verdant campus in the heart of Silicon Valley, a short 35 miles south of San Francisco, California. Research papers and case studies are solicited on any topic related to design thinking, theory, and practice, with a premium placed on evidence-based research. Topics and Themes include: *...

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Keywords
Design 2010