On the axiom of choice
In this article, we have a brief historical overview of the facts around the axiom of choice (AC) in set theory. In this regard, we will state some of the most important equivalents of AC and also some of the weaker forms of AC. We will try to mention the most important results of AC in different br...
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| Format: | Article |
| Language: | fas |
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University of Isfahan
2022-11-01
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| Series: | ریاضی و جامعه |
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| Online Access: | https://math-sci.ui.ac.ir/article_27338_46f9a764eb65e18ed949c7eeaa07073f.pdf |
| _version_ | 1797807013188599808 |
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| author | سید محمد امین خاتمی |
| author_facet | سید محمد امین خاتمی |
| author_sort | سید محمد امین خاتمی |
| collection | DOAJ |
| description | In this article, we have a brief historical overview of the facts around the axiom of choice (AC) in set theory. In this regard, we will state some of the most important equivalents of AC and also some of the weaker forms of AC. We will try to mention the most important results of AC in different branches of mathematics |
| first_indexed | 2024-03-13T06:16:07Z |
| format | Article |
| id | doaj.art-f4361babe5be4fcaa4550cddd695b010 |
| institution | Directory Open Access Journal |
| issn | 2345-6493 2345-6507 |
| language | fas |
| last_indexed | 2024-03-13T06:16:07Z |
| publishDate | 2022-11-01 |
| publisher | University of Isfahan |
| record_format | Article |
| series | ریاضی و جامعه |
| spelling | doaj.art-f4361babe5be4fcaa4550cddd695b0102023-06-11T04:28:27ZfasUniversity of Isfahanریاضی و جامعه2345-64932345-65072022-11-017310312510.22108/msci.2023.135917.154527338On the axiom of choiceسید محمد امین خاتمی0گروه علوم کامپیوتر، دانشگاه صنعتی بیرجند، بیرجند، ایرانIn this article, we have a brief historical overview of the facts around the axiom of choice (AC) in set theory. In this regard, we will state some of the most important equivalents of AC and also some of the weaker forms of AC. We will try to mention the most important results of AC in different branches of mathematicshttps://math-sci.ui.ac.ir/article_27338_46f9a764eb65e18ed949c7eeaa07073f.pdfaxiom of choice (ac)set theoryequivalents of acresults of ac |
| spellingShingle | سید محمد امین خاتمی On the axiom of choice ریاضی و جامعه axiom of choice (ac) set theory equivalents of ac results of ac |
| title | On the axiom of choice |
| title_full | On the axiom of choice |
| title_fullStr | On the axiom of choice |
| title_full_unstemmed | On the axiom of choice |
| title_short | On the axiom of choice |
| title_sort | on the axiom of choice |
| topic | axiom of choice (ac) set theory equivalents of ac results of ac |
| url | https://math-sci.ui.ac.ir/article_27338_46f9a764eb65e18ed949c7eeaa07073f.pdf |
| work_keys_str_mv | AT sydmḥmdạmynkẖạtmy ontheaxiomofchoice |