{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T12:12:14Z","timestamp":1759839134295,"version":"build-2065373602"},"reference-count":7,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":25213,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1945,3]]},"abstract":"<jats:p>The present note is conceived as a sequel to Mostowki's paper, <jats:italic>\u00dcber die Unabh\u00e4ngigkeit des Wohlordnungssatzes vom Ordnungsprinzip<\/jats:italic> (which will be quoted as \u201cM.\u201d).<\/jats:p>\n\t  <jats:p>In that paper Mostowski considers a system of axioms <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200061740_inline1\"\/>, very close to the system of axiomatic set theory of Bernays, but where the axiom of choice is not supposed to hold. Mostowski proves that the well-ordering theorem (Wohlordnungssatz) cannot be derived from the system <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200061740_inline1\"\/> plus the principle of simple ordering (Ordnungsprinzip).<\/jats:p>","DOI":"10.2307\/2267201","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T14:52:11Z","timestamp":1146927131000},"page":"13-15","source":"Crossref","is-referenced-by-count":5,"title":["Note on two theorems of Mostowski"],"prefix":"10.1017","volume":"10","author":[{"given":"Raouf","family":"Doss","sequence":"first","affiliation":[{"name":"Farouk I University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200061740_ref001","first-page":"65","volume":"2","author":"Bernays","year":"1937","journal-title":"A system of axiomatic set theory"},{"key":"S0022481200061740_ref007","first-page":"51","volume-title":"Le\u00e7ons sur les nombres transfinis","author":"Sierpi\u0144ski","year":"1928"},{"key":"S0022481200061740_ref005","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-42029-4"},{"key":"S0022481200061740_ref004","doi-asserted-by":"publisher","DOI":"10.1007\/BF01708855"},{"key":"S0022481200061740_ref002","doi-asserted-by":"publisher","DOI":"10.1007\/BF01171122"},{"key":"S0022481200061740_ref003","first-page":"13","article-title":"\u00dcber den Begriff einer endlichen Menge","volume":"31","author":"Mostowski","year":"1938","journal-title":"Comptes rendus des s\u00e9ances de la Soci\u00e9t\u00e9 des Sciences et des Lettres de Varsovie"},{"key":"S0022481200061740_ref006","doi-asserted-by":"publisher","DOI":"10.4064\/fm-6-1-45-95"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200061740","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T11:30:47Z","timestamp":1759836647000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200061740\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1945,3]]},"references-count":7,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1945,12]]}},"alternative-id":["S0022481200061740"],"URL":"https:\/\/doi.org\/10.2307\/2267201","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"type":"print","value":"0022-4812"},{"type":"electronic","value":"1943-5886"}],"subject":[],"published":{"date-parts":[[1945,3]]}}}