{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T10:41:44Z","timestamp":1649068904886},"reference-count":8,"publisher":"Cambridge University Press (CUP)","issue":"4","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":6676,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1995,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We show that it is not possible to construct a Fraenkel-Mostowski model in which the axiom of choice for well-ordered families of sets and the axiom of choice for sets of well-orderable sets are both true, but the axiom of choice is false.<\/jats:p>","DOI":"10.2307\/2275876","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T18:56:55Z","timestamp":1146941815000},"page":"1115-1117","source":"Crossref","is-referenced-by-count":1,"title":["The axiom of choice for well-ordered families and for families of well-orderable sets"],"prefix":"10.1017","volume":"60","author":[{"given":"Paul","family":"Howard","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jean E.","family":"Rubin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200017941_ref008","unstructured":"Pincus D. , Individuals in Zermelo-Fraenkel set theory, Doctoral Dissertation, Harvard University, Cambridge, Massachusetts, 1969."},{"key":"S0022481200017941_ref003","first-page":"416","volume":"38","author":"Howard","year":"1973","journal-title":"Limitations of the Fraenkel-Mostowski method of independence proofs"},{"key":"S0022481200017941_ref007","doi-asserted-by":"publisher","DOI":"10.4064\/fm-35-1-127-130"},{"key":"S0022481200017941_ref004","volume-title":"The axiom of choice","author":"Jech","year":"1973"},{"key":"S0022481200017941_ref005","first-page":"359","article-title":"Interdependence of weakened forms of the axiom of choice","volume":"7","author":"Jech","year":"1966","journal-title":"Commentationas Mathematicae Universitalis Carolinae"},{"key":"S0022481200017941_ref001","volume-title":"Set theory and the continuum hypothesis","author":"Cohen","year":"1966"},{"key":"S0022481200017941_ref002","doi-asserted-by":"publisher","DOI":"10.4064\/fm-56-3-325-345"},{"key":"S0022481200017941_ref006","doi-asserted-by":"publisher","DOI":"10.4064\/fm-54-1-31-43"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200017941","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,13]],"date-time":"2019-05-13T16:18:47Z","timestamp":1557764327000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200017941\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,12]]},"references-count":8,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1995,12]]}},"alternative-id":["S0022481200017941"],"URL":"https:\/\/doi.org\/10.2307\/2275876","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995,12]]}}}