{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,8,31]],"date-time":"2023-08-31T11:23:23Z","timestamp":1693481003430},"reference-count":5,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":16186,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1969,11,17]]},"abstract":"<jats:p>Since Cohen [1] showed the independence of the axiom of choice from the other axioms of ZF, a number of people have used his forcing technique to show how badly choice can fail while certain vestiges of it remain. Many of these arguments involve the introduction of a generic sequence or generic set of generic sets of ordinals into a countable standard model of ZF + V = L. The desired results then follow by the use of clever permutation and forcing arguments. (See Cohen [2, pp. 136\u2013142].)<\/jats:p>","DOI":"10.2307\/2270904","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T20:55:37Z","timestamp":1146948937000},"page":"388-394","source":"Crossref","is-referenced-by-count":9,"title":["Generic Embeddings"],"prefix":"10.1017","volume":"34","author":[{"given":"Jacob","family":"Manuel Plotkin","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200093701_ref005","first-page":"303","volume-title":"Proceedings of the symposium on foundations of mathematics, infinitistic methods","author":"Vaught","year":"1961"},{"key":"S0022481200093701_ref002","volume-title":"Set theory and the continuum hypothesis","author":"Cohen","year":"1966"},{"key":"S0022481200093701_ref001","volume-title":"Independence of the axiom of choice","author":"Cohen","year":"1963"},{"key":"S0022481200093701_ref003","first-page":"127","volume-title":"Logic, methodology and the philosophy of science, Proceedings of the 1964 International Congress","year":"1965"},{"key":"S0022481200093701_ref004","doi-asserted-by":"publisher","DOI":"10.7146\/math.scand.a-10648"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200093701","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T19:46:23Z","timestamp":1559418383000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200093701\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1969,11,17]]},"references-count":5,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1969,11,17]]}},"alternative-id":["S0022481200093701"],"URL":"https:\/\/doi.org\/10.2307\/2270904","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1969,11,17]]}}}