{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,13]],"date-time":"2023-10-13T05:40:34Z","timestamp":1697175634264},"reference-count":4,"publisher":"Wiley","issue":"5","license":[{"start":{"date-parts":[[2005,8,3]],"date-time":"2005-08-03T00:00:00Z","timestamp":1123027200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[2005,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We establish the equiconsistency of a simple statement in definability theory with the failure of the GCH at all infinite cardinals. The latter was shown by Foreman and Woodin ([2]) to be consistent, relative to the existence of large cardinals. (\u00a9 2005 WILEY\u2010VCH Verlag GmbH &amp; Co. KGaA, Weinheim)<\/jats:p>","DOI":"10.1002\/malq.200510002","type":"journal-article","created":{"date-parts":[[2005,8,3]],"date-time":"2005-08-03T20:53:12Z","timestamp":1123102392000},"page":"448-449","source":"Crossref","is-referenced-by-count":0,"title":["Definability degrees"],"prefix":"10.1002","volume":"51","author":[{"given":"Sy D.","family":"Friedman","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2005,8,3]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.2307\/2273456"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.2307\/2944324"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.2307\/1971132"},{"key":"e_1_2_1_5_2","unstructured":"J.Silver On the singular cardinals problem. In: Proceedings of the International Congress of Mathematicians Vancouver 1974 Vol. 1 pp. 265\u2013268."}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.200510002","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.200510002","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,12]],"date-time":"2023-10-12T10:58:07Z","timestamp":1697108287000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.200510002"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,8,3]]},"references-count":4,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2005,9]]}},"alternative-id":["10.1002\/malq.200510002"],"URL":"https:\/\/doi.org\/10.1002\/malq.200510002","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,8,3]]}}}