{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,6]],"date-time":"2025-10-06T18:33:08Z","timestamp":1759775588692},"reference-count":5,"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":11699,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1982,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>It is shown (in ZF) that every hereditarily countable set has rank less than <jats:italic>\u03c9<\/jats:italic><jats:sub>2<\/jats:sub>, and that if \u2135<jats:sub>1<\/jats:sub> is singular then there are hereditarily countable sets of all ranks less than <jats:italic>\u03c9<\/jats:italic><jats:sub>2<\/jats:sub>.<\/jats:p>","DOI":"10.2307\/2273380","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T17:58:32Z","timestamp":1146938312000},"page":"43-47","source":"Crossref","is-referenced-by-count":8,"title":["On hereditarily countable sets"],"prefix":"10.1017","volume":"47","author":[{"given":"Thomas","family":"Jech","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200044698_ref001","unstructured":"Gitik M. , All uncountable cardinals can be singular, Ph.D. Thesis, Jerusalem, 1979."},{"key":"S0022481200044698_ref002","doi-asserted-by":"publisher","DOI":"10.1007\/BF02771215"},{"key":"S0022481200044698_ref003","doi-asserted-by":"publisher","DOI":"10.1007\/BF02759779"},{"key":"S0022481200044698_ref004","unstructured":"Mitchell W. , Core model for sequences of ultrafilters."},{"key":"S0022481200044698_ref005","first-page":"5","article-title":"Changing measurable into accessible cardinals","volume":"68","author":"Prikry","year":"1970","journal-title":"Dissertationes Mathematicae"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200044698","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,24]],"date-time":"2019-05-24T17:42:26Z","timestamp":1558719746000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200044698\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1982,3]]},"references-count":5,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1982,3]]}},"alternative-id":["S0022481200044698"],"URL":"https:\/\/doi.org\/10.2307\/2273380","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1982,3]]}}}