{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,31]],"date-time":"2023-10-31T07:10:24Z","timestamp":1698736224234},"reference-count":5,"publisher":"Wiley","issue":"6","license":[{"start":{"date-parts":[[2012,10,23]],"date-time":"2012-10-23T00:00:00Z","timestamp":1350950400000},"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":[[2012,11]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The rigid relation principle, introduced in this article, asserts that every set admits a rigid binary relation. This follows from the axiom of choice, because well\u2010orders are rigid, but we prove that it is neither equivalent to the axiom of choice nor provable in Zermelo\u2010Fraenkel set theory without the axiom of choice. Thus, it is a new weak choice principle. Nevertheless, the restriction of the principle to sets of reals (among other general instances) is provable without the axiom of choice.<\/jats:p>","DOI":"10.1002\/malq.201100081","type":"journal-article","created":{"date-parts":[[2012,10,23]],"date-time":"2012-10-23T20:11:24Z","timestamp":1351023084000},"page":"394-398","source":"Crossref","is-referenced-by-count":0,"title":["The rigid relation principle, a new weak choice principle"],"prefix":"10.1002","volume":"58","author":[{"given":"Joel David","family":"Hamkins","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Justin","family":"Palumbo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2012,10,23]]},"reference":[{"key":"e_1_2_6_2_1","doi-asserted-by":"publisher","DOI":"10.2307\/2272866"},{"key":"e_1_2_6_3_1","unstructured":"J. D.Hamkins Does every set admit a rigid binary relation? (and how is this related to the axiom of choice?) MathOverflow Question 6262 posted 20 November 2009."},{"key":"e_1_2_6_4_1","doi-asserted-by":"publisher","DOI":"10.1090\/surv\/059"},{"key":"e_1_2_6_5_1","volume-title":"The axiom of choice, Studies in Logic and the Foundations of Mathematics Vol. 75","author":"Jech T. J.","year":"1973"},{"key":"e_1_2_6_6_1","first-page":"149","article-title":"A rigid relation exists on any set","volume":"6","author":"Vop\u011bnka P.","year":"1965","journal-title":"Comment. Math. Univ. Carol."}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.201100081","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.201100081","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,30]],"date-time":"2023-10-30T22:08:46Z","timestamp":1698703726000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.201100081"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,10,23]]},"references-count":5,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2012,11]]}},"alternative-id":["10.1002\/malq.201100081"],"URL":"https:\/\/doi.org\/10.1002\/malq.201100081","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,10,23]]}}}