Tsekhmistro I. The Philosophical-methodological Analysis of Interrelation of the First and Second Problems of Hilbert

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U000398

Applicant for

Specialization

  • 09.00.09 - Філософія науки

28-12-2006

Specialized Academic Board

К 64.702.05

Essay

The object of research the development of mathematics and philosophical foundations of mathematics on the eve of XX century. The purpose of research - study of interrelation of unsoluble problems of classical mathematic I and II Hilbert's problems. The methods of research: principles of nonclassical and postnonclassical rationality: constructivist, holistic ideas, principle complementarity. Basic results. Interrelation of problems of Hilbert consists that both of them testify to crisis of methodology of classical mathematics and introduction of more flexible nonclassical and postnonclassical methodological approaches.

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