{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T13:49:50Z","timestamp":1778593790363,"version":"3.51.4"},"reference-count":30,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2015,1,26]],"date-time":"2015-01-26T00:00:00Z","timestamp":1422230400000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["The Review of Symbolic Logic"],"published-print":{"date-parts":[[2015,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In a recent series of papers, I and others have advanced new logical approaches to familiar paradoxes. The key to these approaches is to accept full classical logic, and to accept the principles that cause paradox, while preventing trouble by allowing a certain sort of<jats:italic>nontransitivity<\/jats:italic>. Earlier papers have treated paradoxes of truth and vagueness. The present paper will begin to extend the approach to deal with the familiar paradoxes arising in naive set theory, pointing out some of the promises and pitfalls of such an approach.<\/jats:p>","DOI":"10.1017\/s1755020314000501","type":"journal-article","created":{"date-parts":[[2015,1,26]],"date-time":"2015-01-26T15:13:14Z","timestamp":1422285194000},"page":"553-571","source":"Crossref","is-referenced-by-count":14,"title":["NAIVE SET THEORY AND NONTRANSITIVE LOGIC"],"prefix":"10.1017","volume":"8","author":[{"given":"DAVID","family":"RIPLEY","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2015,1,26]]},"reference":[{"key":"S1755020314000501_ref20","doi-asserted-by":"publisher","DOI":"10.1305\/ndjfl\/1093634406"},{"key":"S1755020314000501_ref13","doi-asserted-by":"publisher","DOI":"10.2178\/jsl\/1058448441"},{"key":"S1755020314000501_ref11","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1093\/oso\/9780199287116.003.0009","volume-title":"Deflationism and Paradox","author":"Glanzberg","year":"2005"},{"key":"S1755020314000501_ref9","doi-asserted-by":"publisher","DOI":"10.1017\/S1755020313000312"},{"key":"S1755020314000501_ref8","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780199230747.001.0001"},{"key":"S1755020314000501_ref15","doi-asserted-by":"publisher","DOI":"10.1007\/s11098-010-9690-1"},{"key":"S1755020314000501_ref4","doi-asserted-by":"crossref","first-page":"437","DOI":"10.2307\/j.ctv2x8v8c7.19","volume-title":"Paraconsistent Logic: Essays on the Inconsistent","author":"Brady","year":"1989"},{"key":"S1755020314000501_ref7","doi-asserted-by":"publisher","DOI":"10.1093\/mind\/fzt110"},{"key":"S1755020314000501_ref12","doi-asserted-by":"publisher","DOI":"10.1070\/IM1982v018n01ABEH001382"},{"key":"S1755020314000501_ref2","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780199268733.001.0001"},{"key":"S1755020314000501_ref16","doi-asserted-by":"publisher","DOI":"10.2307\/420956"},{"key":"S1755020314000501_ref22","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-007-4438-7_6"},{"key":"S1755020314000501_ref1","article-title":"The logics of strict-tolerant logic","author":"Barrio","year":"2014","journal-title":"Journal of Philosophical Logic"},{"key":"S1755020314000501_ref25","first-page":"1","article-title":"Revising up: Strengthening classical logic in the face of paradox","volume":"13","author":"Ripley","year":"2013","journal-title":"Philosophers\u2019 Imprint"},{"key":"S1755020314000501_ref3","doi-asserted-by":"publisher","DOI":"10.1305\/ndjfl\/1093894366"},{"key":"S1755020314000501_ref5","volume-title":"Universal Logic","author":"Brady","year":"2006"},{"key":"S1755020314000501_ref19","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780199263301.001.0001"},{"key":"S1755020314000501_ref6","doi-asserted-by":"publisher","DOI":"10.1007\/s10992-010-9165-z"},{"key":"S1755020314000501_ref26","first-page":"51","article-title":"Ultralogic as universal?","volume":"2","author":"Routley","year":"1977","journal-title":"Relevance Logic Newsletter"},{"key":"S1755020314000501_ref21","unstructured":"Restall G . (1994). On Logics Without Contraction. PhD thesis, The University of Queensland."},{"key":"S1755020314000501_ref10","unstructured":"Field H. , Lederman H. , & \u00d8gaard T. F . (2014). Prospects for a naive theory of classes. To appear."},{"key":"S1755020314000501_ref23","doi-asserted-by":"publisher","DOI":"10.1017\/S1755020312000056"},{"key":"S1755020314000501_ref24","doi-asserted-by":"publisher","DOI":"10.1080\/00048402.2011.630010"},{"key":"S1755020314000501_ref27","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9213.2010.678.x"},{"key":"S1755020314000501_ref28","doi-asserted-by":"publisher","DOI":"10.1017\/S1755020309990281"},{"key":"S1755020314000501_ref29","doi-asserted-by":"publisher","DOI":"10.1017\/S1755020312000019"},{"key":"S1755020314000501_ref30","doi-asserted-by":"publisher","DOI":"10.1007\/BF00258447"},{"key":"S1755020314000501_ref14","doi-asserted-by":"publisher","DOI":"10.1080\/00048402.2011.648945"},{"key":"S1755020314000501_ref17","article-title":"Remarks on naive set theory based on LP","author":"Omori","year":"2014","journal-title":"Review of Symbolic Logic"},{"key":"S1755020314000501_ref18","doi-asserted-by":"publisher","DOI":"10.1023\/A:1005293713265"}],"container-title":["The Review of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S1755020314000501","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,17]],"date-time":"2025-05-17T19:51:36Z","timestamp":1747511496000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S1755020314000501\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1,26]]},"references-count":30,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,9]]}},"alternative-id":["S1755020314000501"],"URL":"https:\/\/doi.org\/10.1017\/s1755020314000501","relation":{},"ISSN":["1755-0203","1755-0211"],"issn-type":[{"value":"1755-0203","type":"print"},{"value":"1755-0211","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,1,26]]}}}