THE PHILOSOPHY OF INTUITIONIST MATHEMATICS

THE PHILOSOPHY OF INTUITIONIST MATHEMATICS

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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, methodolog...

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Main Author: S.I. MASALOVA
Format: Article
Language:Russian
Published: Don State Technical University 2006-12-01
Series:Advanced Engineering Research
Subjects:
философия математики
теория множеств
парадокс
кризис оснований математики
полуинтуиционизм
эффективизм
собственно интуиционизм
ультраинтуиционизм
потенциальная бесконечность
актуальная бесконечность
абстракция отождествления
интуиционистская логика
конструктивизм.
Online Access:https://www.vestnik-donstu.ru/jour/article/view/1410
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spelling doaj-07377958f6fb4a859f3fa270627be9ab2021-10-02T18:46:32ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532006-12-01643603661375THE PHILOSOPHY OF INTUITIONIST MATHEMATICSS.I. MASALOVAThe 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.https://www.vestnik-donstu.ru/jour/article/view/1410философия математикитеория множествпарадокскризис оснований математикиполуинтуиционизмэффективизмсобственно интуиционизмультраинтуиционизмпотенциальная бесконечностьактуальная бесконечностьабстракция отождествленияинтуиционистская логикаконструктивизм.
collection DOAJ
language Russian
format Article
sources DOAJ
author S.I. MASALOVA
spellingShingle S.I. MASALOVA
THE PHILOSOPHY OF INTUITIONIST MATHEMATICS
Advanced Engineering Research
философия математики
теория множеств
парадокс
кризис оснований математики
полуинтуиционизм
эффективизм
собственно интуиционизм
ультраинтуиционизм
потенциальная бесконечность
актуальная бесконечность
абстракция отождествления
интуиционистская логика
конструктивизм.
author_facet S.I. MASALOVA
author_sort S.I. MASALOVA
title THE PHILOSOPHY OF INTUITIONIST MATHEMATICS
title_short THE PHILOSOPHY OF INTUITIONIST MATHEMATICS
title_full THE PHILOSOPHY OF INTUITIONIST MATHEMATICS
title_fullStr THE PHILOSOPHY OF INTUITIONIST MATHEMATICS
title_full_unstemmed THE PHILOSOPHY OF INTUITIONIST MATHEMATICS
title_sort philosophy of intuitionist mathematics
publisher Don State Technical University
series Advanced Engineering Research
issn 2687-1653
publishDate 2006-12-01
description 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.
topic философия математики
теория множеств
парадокс
кризис оснований математики
полуинтуиционизм
эффективизм
собственно интуиционизм
ультраинтуиционизм
потенциальная бесконечность
актуальная бесконечность
абстракция отождествления
интуиционистская логика
конструктивизм.
url https://www.vestnik-donstu.ru/jour/article/view/1410
work_keys_str_mv AT simasalova thephilosophyofintuitionistmathematics
AT simasalova philosophyofintuitionistmathematics
_version_ 1716848771002793984

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