Mathematizing Power, Formalization, and the Diagrammatical Mind or: What Does “Computation” Mean? [Book Review]

Philosophy and Technology 27 (3):345-357 (2014)
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Abstract

Computation and formalization are not modalities of pure abstractive operations. The essay tries to revise the assumption of the constitutive nonsensuality of the formal. The argument is that formalization is a kind of linear spatialization, which has significant visual dimensions. Thus, a connection can be discovered between visualization by figurative graphism and formalization by symbolic calculations: Both use spatial relations not only to represent but also to operate on epistemic, nonspatial, nonvisual entities. Descartes was one of the pioneers of using this kind of two-dimensional spatiality as a cognitive instrument

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Sybille Krämer
Freie Universität Berlin

References found in this work

The extended mind.Andy Clark & David J. Chalmers - 1998 - Analysis 58 (1):7-19.
Visual Thinking in Mathematics: An Epistemological Study.Marcus Giaquinto - 2007 - Oxford, England: Oxford University Press.
Regulae ad directionem ingenii.René Descartes & G. Le Roy - 1934 - Revue de Métaphysique et de Morale 41 (2):10-10.

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