Metamorphoses of the image of ideology in science (positions of foreign mathematicians)

This paper is devoted to the study of the role of the ideology in science, formed in perception of modern foreign mathematicians. The purpose of this paper is to study positions of the national mathematics communities in the context of relation between concepts of science and ideology, to fix their interaction and the interpretation of the ideology in science. The authors resumed that the concept of the ideology in science is usually identified as a world view, a style of thinking or a«doctrine in the mathematics research community. While the foreign epistemologists note the multiple meaning of this concept - as a state political ideology, as an internal ideology of scientific community and as a doctrine.