PHILOSOPHY OF MATHEMATICS IN THE 20TH CENTURY: MAIN TRENDS AND DOCTRINES

in Essays in Logic and Ontology
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The aim of the paper is to present the main trends and tendencies in the philosophy of mathematics in the 20th century. To make the analysis more clear we distinguish three periods in the development of the philosophy of mathematics in this century: (1) the first thirty years when three classical doctrines: logicism, intuitionism and formalism were formulated, (2) the period from 1931 till the end of the fifties –– period of stagnation, and (3) from the beginning of the sixties till today when new tendencies putting stress on the knowing subject and the research practice of mathematicians arose.

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