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THE PHILOSOPHY OF INTUITIONIST MATHEMATICS

Abstract

The article covers the main problems of intuitionist mathematics which appeared in the late 19th century-early 20th century. Among them are the problems of existence in mathematics, the problem of substantiation of mathematics, epistemological methods of mathematical objects construction, methodology of mathematics and others. Such stages of mathematical theory development as half-intuitionism, intuitionism proper and ultra-intuitionism are considered.

 

About the Author

S.I. MASALOVA

Russian Federation


References

1. Kitcher Ph. The nature of mathematical knowledge. // Journаl Philosophy. – 1977. – V. 74.

2. Рузавин Г.И. О природе математического знания. – М.: Мысль, 1968. – 302 с.

3. Клини С.К., Весли Р. Основания интуиционистской математики с точки зрения теории рекурсивных функций / Пер. с англ. – М.: Мир, 1978. – 330 с.


Review

For citations:


MASALOVA S. THE PHILOSOPHY OF INTUITIONIST MATHEMATICS. Vestnik of Don State Technical University. 2006;6(4):360-366. (In Russ.)

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ISSN 2687-1653 (Online)