English

G\'eom\'etrie et cognition; l'exemple du continu

History and Overview 2008-12-18 v1

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

Cite

@article{arxiv.0806.3864,
  title  = {G\'eom\'etrie et cognition; l'exemple du continu},
  author = {Bernard Teissier},
  journal= {arXiv preprint arXiv:0806.3864},
  year   = {2008}
}
R2 v1 2026-06-21T10:53:47.284Z