DESCARTES REN. SEARCHES OF TRUES

In ' the Reasoning on a method … ' Descartes has continued that basic line which expressed hardly probable not the main maintenance of socially-philosophical thought of humanists of previous centuries: about natural equality of all people, about similarity of a human nature. Descartes did not formulate any socially-philosophical concepts, but he perfectly understood that progress is impossible, if knowledge ruling classes possess only. As acknowledgement the told is served by that fact that the scientist wrote some products in French, addressing to their wide audience, shop learning standing up for by limits. Trying to simplify a statement, Descartes has created that transparent, crystal-clear syllable of which later the French writers by right were proud. Searches of trues have caused also stylistic achievements, the thought and style have appeared indissoluble and in a science.

In ' the Reasoning on a method … ' Descartes pays attention to a language problem, underlining that language in itself does not testify to force of thoughts and the person expressed easier, can formulate them is more thin and is exact, than the brilliant expert in the field of verbal shifts. In this product, as well as in many other things, the philosopher extols common sense - ' natural light ' human mind.

In following section ' Reasonings on a method … ' - ' Geometry ' - the scientist has described results of the researches in mathematics area. It is necessary to notice that in Renaissance there were rudiments of mathematical natural sciences without which at the time of Descartes the science would be not capable to become productive force. In turn matematizatsija natural sciences it would be impossible without certain progress in the mathematics. Such progress, in particular, is impossible without successes of formalisation. And Descartes has played a pivotal role in formation of modern algebra: has entered alphabetic symbols and present designations of degrees, has designated last letters of the Latin alphabet (h, at, z) variables, has laid the foundation for the equation theory. Concepts of number and the sizes earlier existing separately, thereby have been united. Historical value Cartesian ' Geometry ' consists also that communication between size and function here has been opened that has transformed mathematics.

Application of algebraic methods to geometrical objects, introduction of system of rectilinear co-ordinates meant creation of the analytical geometry uniting geometrical and arithmetic sizes which since the Ancient Greek mathematics existed separately.