{"created":"2023-06-19T09:36:32.359601+00:00","id":1196,"links":{},"metadata":{"_buckets":{"deposit":"e971e429-0852-4991-b64b-fb27ac6e9761"},"_deposit":{"created_by":16,"id":"1196","owners":[16],"pid":{"revision_id":0,"type":"depid","value":"1196"},"status":"published"},"_oai":{"id":"oai:mue.repo.nii.ac.jp:00001196","sets":["1:3:96"]},"author_link":["2376","1633"],"item_10001_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2021-01-29","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"120","bibliographicPageStart":"105","bibliographicVolumeNumber":"55","bibliographic_titles":[{"bibliographic_title":"宮城教育大学紀要"}]}]},"item_10001_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"現代数学において, 選択公理は必要不可欠な重要な公理である. しかし, これを仮定することにより, 直観的には受け入れ難い数学的な事実が導かれることがある. 本稿においては, その代表的な例として, 3 次元における Banach-Tarski の定理を取り上げる. 特に, 選択公理を用いることによってHausdorffの定理が導かれること, 及び, これを用いて Banach-Tarskiの定理を証明できることについて, その詳細を解説する.","subitem_description_type":"Abstract"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"佐藤, 得志"}],"nameIdentifiers":[{"nameIdentifier":"1633","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"9000002360455","nameIdentifierScheme":"CiNii ID","nameIdentifierURI":"http://ci.nii.ac.jp/nrid/9000002360455"}]},{"creatorNames":[{"creatorName":"佐藤, 雄介"}],"nameIdentifiers":[{"nameIdentifier":"2376","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2021-03-15"}],"displaytype":"detail","filename":"選択公理のもたらす論理と直観の乖離について.pdf","filesize":[{"value":"18.8 MB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"選択公理のもたらす論理と直観の乖離について− Banach-Tarski の定理を通して −","url":"https://mue.repo.nii.ac.jp/record/1196/files/選択公理のもたらす論理と直観の乖離について.pdf"},"version_id":"8240ce37-30b3-4932-9c3a-3dbfa17becbb"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"選択公理","subitem_subject_scheme":"Other"},{"subitem_subject":"Banach-Tarskiの定理","subitem_subject_scheme":"Other"},{"subitem_subject":"Hausdorffの定理","subitem_subject_scheme":"Other"},{"subitem_subject":"合同","subitem_subject_scheme":"Other"},{"subitem_subject":"有限分割合同","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"選択公理のもたらす論理と直観の乖離について− Banach-Tarski の定理を通して −","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"選択公理のもたらす論理と直観の乖離について− Banach-Tarski の定理を通して −"},{"subitem_title":"On the dissociation of logic and intuition resulting from the Axiom of Choice：through the Banach-Tarski theorem","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"16","path":["96"],"pubdate":{"attribute_name":"公開日","attribute_value":"2021-03-15"},"publish_date":"2021-03-15","publish_status":"0","recid":"1196","relation_version_is_last":true,"title":["選択公理のもたらす論理と直観の乖離について− Banach-Tarski の定理を通して −"],"weko_creator_id":"16","weko_shared_id":-1},"updated":"2023-06-19T09:52:21.915087+00:00"}