Géométrie et cognition; lexemple du continuReport as inadecuate

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1 IMJ - Institut de Mathématiques de Jussieu

Abstract : In this paper I propose the idea to establish a clear distinction between the foundations of truth and the foundations of meaning in Mathematics. I explore on the most basic example, the mathematical line, the possibility that the foundations of its meaning are provided by a protomathematical object resulting from the identification by our perceptual system of the visual line and the vestibular line, a point of view suggested by recent results of neurophysiology.

Keywords : Continuum foundations cognition

Author: Bernard Teissier -

Source: https://hal.archives-ouvertes.fr/


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