{"id":"https://openalex.org/W4413699913","doi":"https://doi.org/10.1017/bsl.2025.10093","title":"OF SHEEP AND WOLVES: EQUIVALENCE AND DISAGREEMENT IN SET THEORY","display_name":"OF SHEEP AND WOLVES: EQUIVALENCE AND DISAGREEMENT IN SET THEORY","publication_year":2025,"publication_date":"2025-08-26","ids":{"openalex":"https://openalex.org/W4413699913","doi":"https://doi.org/10.1017/bsl.2025.10093"},"language":"en","primary_location":{"id":"doi:10.1017/bsl.2025.10093","is_oa":true,"landing_page_url":"https://doi.org/10.1017/bsl.2025.10093","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/96B419421D7AD1745EBE73ADA2F36000/S1079898625100930a.pdf/div-class-title-equivalence-and-disagreement-in-set-theory-div.pdf","source":{"id":"https://openalex.org/S130801046","display_name":"Bulletin of Symbolic Logic","issn_l":"1079-8986","issn":["1079-8986","1943-5894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Bulletin of Symbolic Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/96B419421D7AD1745EBE73ADA2F36000/S1079898625100930a.pdf/div-class-title-equivalence-and-disagreement-in-set-theory-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007697398","display_name":"Toby Meadows","orcid":"https://orcid.org/0000-0003-2741-7685"},"institutions":[{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"TOBY MEADOWS","raw_affiliation_strings":["UNIVERSITY OF CALIFORNIA"],"affiliations":[{"raw_affiliation_string":"UNIVERSITY OF CALIFORNIA","institution_ids":["https://openalex.org/I2803209242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007697398"],"corresponding_institution_ids":["https://openalex.org/I2803209242"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1230031,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"4","first_page":"619","last_page":"685"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.24719999730587006,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.24719999730587006,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10778","display_name":"Philosophy and History of Science","score":0.22220000624656677,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13051","display_name":"Qualitative Comparative Analysis Research","score":0.050999999046325684,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6836771368980408},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49659043550491333},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4938405156135559},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4714554250240326},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2775852382183075},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2514667212963104},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.062444984912872314}],"concepts":[{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6836771368980408},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49659043550491333},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4938405156135559},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4714554250240326},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2775852382183075},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2514667212963104},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.062444984912872314}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/bsl.2025.10093","is_oa":true,"landing_page_url":"https://doi.org/10.1017/bsl.2025.10093","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/96B419421D7AD1745EBE73ADA2F36000/S1079898625100930a.pdf/div-class-title-equivalence-and-disagreement-in-set-theory-div.pdf","source":{"id":"https://openalex.org/S130801046","display_name":"Bulletin of Symbolic Logic","issn_l":"1079-8986","issn":["1079-8986","1943-5894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Bulletin of Symbolic Logic","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1017/bsl.2025.10093","is_oa":true,"landing_page_url":"https://doi.org/10.1017/bsl.2025.10093","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/96B419421D7AD1745EBE73ADA2F36000/S1079898625100930a.pdf/div-class-title-equivalence-and-disagreement-in-set-theory-div.pdf","source":{"id":"https://openalex.org/S130801046","display_name":"Bulletin of Symbolic Logic","issn_l":"1079-8986","issn":["1079-8986","1943-5894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Bulletin of Symbolic Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4413699913.pdf","grobid_xml":"https://content.openalex.org/works/W4413699913.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Abstract":[0],"This":[1,94],"article":[2,113],"offers":[3],"a":[4,41,83,117,152],"philosophical":[5],"overview":[6],"and":[7,17,37,61,65,104,126],"investigation":[8],"of":[9,12,28,33,44,51,85,89,99,111,158,169],"the":[10,22,100,105,112,136,156],"problem":[11],"incompleteness":[13,32],"in":[14,96,134],"set":[15,74,132],"theory":[16],"what":[18],"this":[19],"entails":[20],"for":[21,123,128],"ensuing":[23],"debates":[24,91],"about":[25],"proposed":[26],"extensions":[27,168],"$ZFC$":[29,34,170],".":[30,171],"The":[31,108],"is":[35],"well-known":[36],"leaves":[38],"us":[39],"with":[40,144],"rich":[42],"array":[43],"competing":[45],"extensions.":[46],"What":[47],"should":[48],"we":[49,121,161],"make":[50],"disagreements":[52],"between":[53,102,131,166],"them?":[54],"We":[55,76,147],"start":[56],"by":[57],"considering":[58],"second-order":[59],"logic":[60],"its":[62],"categoricity":[63],"theorems":[64],"how":[66],"they":[67],"might":[68],"be":[69],"used":[70],"to":[71,79,150,164],"compare":[72],"different":[73],"theories.":[75],"then":[77,114,148],"aim":[78,149],"use":[80],"interpretability":[81,103],"as":[82],"way":[84,138],"understanding":[86],"that":[87,139,160],"some":[88,97],"these":[90],"are":[92,141],"insubstantial.":[93],"culminates":[95],"discussion":[98],"relationship":[101],"generic":[106],"multiverse.":[107],"second":[109],"half":[110],"takes":[115],"up":[116],"more":[118],"modest":[119],"goal:":[120],"search":[122],"common":[124],"ground":[125],"settle":[127],"partial":[129],"agreement":[130,159],"theories":[133],"much":[135],"same":[137],"physicists":[140],"often":[142],"content":[143],"empirical":[145],"agreement.":[146],"describe":[151],"natural":[153],"bound":[154],"on":[155],"amount":[157],"can":[162],"expect":[163],"obtain":[165],"reasonable":[167]},"counts_by_year":[],"updated_date":"2026-03-03T08:47:05.690250","created_date":"2025-10-10T00:00:00"}