KANTOVSKÉ MOTÍVY PROSTORU V GAUSSOVE DIFERENCIÁLNÍ GEOMETRII

• Authors: Marie Benediktová Větrovcová

Title variants

EN

Kantian motives of space in Gauss’ differential geometry

• Languages of publication: CS

Abstracts

EN

The aim of this contribution is to show the Kantian concept of space as a hidden presupposition of Gauss’ geometrical treatises. First, the introduction of mathematization, origins of mathematics and geometry is depicted on the philosophical background of Husserl’s phenomenology as one possible interpretation of space. Further, Kant’s ideas on mathematics and space are summarized. The motivations of Gauss’ differential geometry exemplify the revolution in mathematics in 19th century. In conclusion Kantian motives of space in Gauss’ differential geometry as the intrinsic geometry of a curved surface are shown.

Keywords

EN

MATHEMATICS; DIFFERENTIAL GEOMETRY; ONTOLOGY; SPACE; KANT IMMANUEL; GAUSS

• Publisher: Institute of Philosophy, Slovak Academy of Sciences
• Journal: Filozofia (Philosophy)
• Year: 2012
• Volume: 67
• Issue: 6
• Pages: 476 – 484

Contributors

author

Marie Benediktová Větrovcová

• Katedra filosofie FF ZCU, Sedláčkova 19, 306 14 Plzeň, Czech Republic