{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T14:27:26Z","timestamp":1775053646191,"version":"3.50.1"},"reference-count":10,"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":12885,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1978,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Let NBG be von Neumann-Bemays-G\u00f6del set theory without the axiom of choice and let NBGA be the modification which allows atoms. In this paper we consider some of the well-known class or global forms of the wellordering theorem, the axiom of choice, and maximal principles which are known to be equivalent in NBG and show they are not equivalent in NBGA.<\/jats:p>","DOI":"10.2307\/2273507","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T21:48:57Z","timestamp":1146952137000},"page":"673-684","source":"Crossref","is-referenced-by-count":5,"title":["Independence results for class forms of the axiom of choice"],"prefix":"10.1017","volume":"43","author":[{"given":"Paul E.","family":"Howard","sequence":"first","affiliation":[]},{"given":"Arthur L.","family":"Rubin","sequence":"additional","affiliation":[]},{"given":"Jean E.","family":"Rubin","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200049197_ref002","doi-asserted-by":"publisher","DOI":"10.4064\/fm-79-1-79-85"},{"key":"S0022481200049197_ref009","doi-asserted-by":"publisher","DOI":"10.4064\/fm-32-1-201-252"},{"key":"S0022481200049197_ref001","first-page":"217","volume-title":"Studies in logic, vol. 84, Sets and classes","author":"Felgner","year":"1976"},{"key":"S0022481200049197_ref007","volume-title":"Lecture Notes in Mathematics","volume":"217","author":"Jech","year":"1971"},{"key":"S0022481200049197_ref008","doi-asserted-by":"publisher","DOI":"10.4064\/fm-54-1-31-43"},{"key":"S0022481200049197_ref005","doi-asserted-by":"publisher","DOI":"10.4064\/fm-97-2-111-122"},{"key":"S0022481200049197_ref003","unstructured":"Halpern J. D. , Contributions to the study of the independence of the axiom of choice, Ph.D. Thesis, Berkeley, 1962."},{"key":"S0022481200049197_ref004","doi-asserted-by":"publisher","DOI":"10.1305\/ndjfl\/1093887832"},{"key":"S0022481200049197_ref006","volume-title":"Studies in logic","volume":"75","author":"Jech","year":"1973"},{"key":"S0022481200049197_ref010","volume-title":"Studies in logic","author":"Rubin","year":"1963"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200049197","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,27]],"date-time":"2019-05-27T19:07:49Z","timestamp":1558984069000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200049197\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1978,12]]},"references-count":10,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1978,12]]}},"alternative-id":["S0022481200049197"],"URL":"https:\/\/doi.org\/10.2307\/2273507","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1978,12]]}}}