Institute for Problems in Mechanics, Russian
Academy of Sciences
101-1 ,Vernadskii Ave., Moscow, 119526, Russia
email: rylov@ipmnet.ru
Web site: http://rsfq1.physics.sunysb.edu/~rylov/yrylov.htm
or mirror Web site: http://www.ipmnet.ru/~rylov/yrylov.htm
Updated May 12, 2010
Properties of
the logical reloading in the Euclidean geometry are considered. The logical
reloading is a logical operation which replaces one system of basic concepts of
a conception by another system of basic concepts of the same conception. The
logical reloading does not change propositions of the conception. However,
generalizations of the conception are different for different systems of basic
concepts. It is conditioned by the fact, that some systems of basic concepts
contain not only propositions of the conception, but also some attributes of
this conception description. Properties of the logical reloading are
demonstrated in the example of the proper Euclidean geometry, whose
generalization leads to different results for different system of basic
concepts.
There is
text of the paper in English (pdf, ps) and in Russian (ps, pdf)