{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,11,6]],"date-time":"2023-11-06T09:21:21Z","timestamp":1699262481290},"reference-count":9,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":19642,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1960,6]]},"abstract":"The notion of constructibility introduced by G\u00f6del in [2] has been generalized by Hajnal [3], [4] in order to prove the conditional independence of the generalized continuum hypothesis and related axioms. A very similar construction was used independently by Shoenfield [11], [12]2<\/jats:sup>and the author [7] to prove the conditional independence ofV = L<\/jats:italic>and related axioms. Here we shall prove results further in the latter direction than those in Shoenfield [12].<\/jats:p>","DOI":"10.2307\/2964211","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T20:09:25Z","timestamp":1146946165000},"page":"147-155","source":"Crossref","is-referenced-by-count":23,"title":["A generalization of G\u00f6del's notion of constructibility"],"prefix":"10.1017","volume":"25","author":[{"given":"Azriel","family":"L\u00e9vy","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200122029_ref003","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19560020804"},{"key":"S0022481200122029_ref002","volume-title":"The consistency of the axiom of choice and of the generalized continuum hypothesis with the axioms of set theory","year":"1951"},{"key":"S0022481200122029_ref001","doi-asserted-by":"crossref","first-page":"11","DOI":"10.4064\/fm-28-1-11-21","volume":"28","year":"1937","journal-title":"Fundamenta mathematicae"},{"key":"S0022481200122029_ref012","doi-asserted-by":"publisher","DOI":"10.2307\/2372911"},{"key":"S0022481200122029_ref005","first-page":"364","volume":"6","year":"1958","journal-title":"Notices of the American Mathematical Society"},{"key":"S0022481200122029_ref011","first-page":"214","volume":"II","journal-title":"Summaries of talks presented at the Summer Institute of Symbolic Logic in 1957 at Cornell University"},{"key":"S0022481200122029_ref010","first-page":"161","volume":"16","year":"1951","journal-title":"this Journal"},{"key":"S0022481200122029_ref007","first-page":"1582","volume":"245","year":"1957","journal-title":"Comptes Rendus des s\u00e9ances de l'Acad\u00e9mie des Sciences, Paris"},{"key":"S0022481200122029_ref009","first-page":"125","volume":"10","year":"1945","journal-title":"this Journal"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200122029","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,26]],"date-time":"2021-07-26T20:15:16Z","timestamp":1627330516000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200122029\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1960,6]]},"references-count":9,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1960,6]]}},"alternative-id":["S0022481200122029"],"URL":"https:\/\/doi.org\/10.2307\/2964211","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1960,6]]}}}