THE PHILOSOPHY OF INTUITIONIST MATHEMATICS
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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| Format: | Article |
| Language: | Russian |
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Don State Technical University
2006-12-01
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| Series: | Advanced Engineering Research |
| Subjects: | |
| Online Access: | https://www.vestnik-donstu.ru/jour/article/view/1410 |
| _version_ | 1797881262481866752 |
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| author | S.I. MASALOVA |
| author_facet | S.I. MASALOVA |
| author_sort | S.I. MASALOVA |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-10T03:17:23Z |
| format | Article |
| id | doaj.art-07377958f6fb4a859f3fa270627be9ab |
| institution | Directory Open Access Journal |
| issn | 2687-1653 |
| language | Russian |
| last_indexed | 2024-04-10T03:17:23Z |
| publishDate | 2006-12-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Advanced Engineering Research |
| spelling | doaj.art-07377958f6fb4a859f3fa270627be9ab2023-03-13T07:31:28ZrusDon 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. |
| 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. |
| title | 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_short | THE PHILOSOPHY OF INTUITIONIST MATHEMATICS |
| title_sort | philosophy of intuitionist mathematics |
| 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 |