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LA GEOMETRIA LOBACEVSKIANA E LA FILOSOFIA DELLA MATEMATICA DI AUGUSTE COMTE

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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

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/content/journals/10.1163/182539104x00043
2004-01-01
2016-12-06

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