Cookies Policy

This site uses cookies. By continuing to browse the site you are agreeing to our use of cookies.

I accept this policy

Find out more here


No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.

Brill’s MyBook program is exclusively available on BrillOnline Books and Journals. Students and scholars affiliated with an institution that has purchased a Brill E-Book on the BrillOnline platform automatically have access to the MyBook option for the title(s) acquired by the Library. Brill MyBook is a print-on-demand paperback copy which is sold at a favorably uniform low price.

Access this article

+ Tax (if applicable)
Add to Favorites
You must be logged in to use this functionality

image of Nuncius

title SUMMARY /title

In this paper we effect an historical reconstruction of the relationship between N.I. Lobacevskij's conception of the foundations of geometry and that of A. Comte. We can establish a meaningful convergence between Lobacevskian physical geometry, based on the solid bodies and the section operation, and the mathematique concrte of the positivistic philosopher, as we can note in some of Comtian writings of mathematics philosophy published posthumously, as well as in Cours de philosophie positive. By means of criticising the principles of science, in their common antimethaphysical conception of knowledge theory, Lobacevskij and Comte put the traditional core of science, which seemed to have no alternative and had had the paradigms of scientific knowledge in Euclidean geometry and in Newtonian mechanics, in a critical position. This happens by referring to Lagrange and Fourier.

Moreover, the 'Fourierist core' of Comtian work has a reference in Lobacevskij's physical geometry and some of Fourier's ideas, expressed in one of his geometrical manuscripts, lead to the basic concepts of the parallel straight lines theory of the Russian geometer, surprisingly.

Affiliations: 1: Salemo


Full text loading...


Data & Media loading...

Article metrics loading...



Can't access your account?
  • Tools

  • Add to Favorites
  • Printable version
  • Email this page
  • Subscribe to ToC alert
  • Get permissions
  • Recommend to your library

    You must fill out fields marked with: *

    Librarian details
    Your details
    Why are you recommending this title?
    Select reason:
    Nuncius — Recommend this title to your library
  • Export citations
  • Key

  • Full access
  • Open Access
  • Partial/No accessInformation