{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,1,24]],"date-time":"2024-01-24T16:19:38Z","timestamp":1706113178950},"reference-count":1,"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":19825,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1959,12]]},"abstract":"<jats:p>Independence of axioms was not investigated in [Faris]. We show that this quality is lacking, since <jats:italic>2<\/jats:italic> can be derived from the rest, which without it constitute an independent set. In the proofs of independence it is clearly more informative to decompose 9, <jats:italic>C1abKN2abKN3abN5ab<\/jats:italic> and <jats:italic>10<\/jats:italic>, <jats:italic>C3abKN2abN5ab<\/jats:italic> into three and two propositions respectively.<\/jats:p>","DOI":"10.2307\/2963900","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T20:07:11Z","timestamp":1146946031000},"page":"305-305","source":"Crossref","is-referenced-by-count":2,"title":["Axioms for the \u201cGergonne\u201d-relations"],"prefix":"10.1017","volume":"24","author":[{"given":"Ivo","family":"thomas","sequence":"first","affiliation":[]},{"given":"Don","family":"Orth","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200123291_ref001","first-page":"207","volume":"20","author":"Faris","year":"1955","journal-title":"The Gergonne relations"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200123291","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,5]],"date-time":"2019-06-05T19:50:55Z","timestamp":1559764255000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200123291\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1959,12]]},"references-count":1,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1959,12]]}},"alternative-id":["S0022481200123291"],"URL":"https:\/\/doi.org\/10.2307\/2963900","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1959,12]]}}}