{"id":"https://openalex.org/W2090752965","doi":"https://doi.org/10.2178/jsl/1190150155","title":"Transfinite dependent choice and \u03c9-model reflection","display_name":"Transfinite dependent choice and \u03c9-model reflection","publication_year":2002,"publication_date":"2002-09-01","ids":{"openalex":"https://openalex.org/W2090752965","doi":"https://doi.org/10.2178/jsl/1190150155","mag":"2090752965"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1190150155","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1190150155","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040022065","display_name":"Christian R\u00fcede","orcid":"https://orcid.org/0000-0003-4350-3882"},"institutions":[{"id":"https://openalex.org/I237525767","display_name":"Zurich Insurance Group (Switzerland)","ror":"https://ror.org/03cw8qd03","country_code":"CH","type":"company","lineage":["https://openalex.org/I237525767"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Christian R\u00fcede","raw_affiliation_strings":["Sustenweg 2, 8048 Z\u00fcrich, Switzerland, E-mail:","Sustenweg 2, 8048 Z\u00fcrich, Switzerland, E-mail: rue@kbw.ch"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sustenweg 2, 8048 Z\u00fcrich, Switzerland, E-mail:","institution_ids":["https://openalex.org/I237525767"]},{"raw_affiliation_string":"Sustenweg 2, 8048 Z\u00fcrich, Switzerland, E-mail: rue@kbw.ch","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040022065"],"corresponding_institution_ids":["https://openalex.org/I237525767"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":1.173,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.78943706,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"67","issue":"3","first_page":"1153","last_page":"1168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9987999796867371,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9955000281333923,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/transfinite-number","display_name":"Transfinite number","score":0.9841439723968506},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.8599510192871094},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6530416011810303},{"id":"https://openalex.org/keywords/reflection","display_name":"Reflection (computer programming)","score":0.6519170999526978},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5803808569908142},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5702544450759888},{"id":"https://openalex.org/keywords/axiom-of-choice","display_name":"Axiom of choice","score":0.47977811098098755},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.468722939491272},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.42339447140693665},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3716297745704651},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3519842326641083},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30815589427948},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.23401135206222534},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.21971234679222107},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17798909544944763},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09081077575683594}],"concepts":[{"id":"https://openalex.org/C147358099","wikidata":"https://www.wikidata.org/wiki/Q1069891","display_name":"Transfinite number","level":2,"score":0.9841439723968506},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.8599510192871094},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6530416011810303},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.6519170999526978},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5803808569908142},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5702544450759888},{"id":"https://openalex.org/C151797676","wikidata":"https://www.wikidata.org/wiki/Q179692","display_name":"Axiom of choice","level":4,"score":0.47977811098098755},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.468722939491272},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.42339447140693665},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3716297745704651},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3519842326641083},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30815589427948},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.23401135206222534},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.21971234679222107},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17798909544944763},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09081077575683594},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/jsl/1190150155","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1190150155","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1190150155","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1190150155","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1556453281","https://openalex.org/W1987660018","https://openalex.org/W2010039716","https://openalex.org/W2043433016","https://openalex.org/W2096744225","https://openalex.org/W2116942026","https://openalex.org/W4236196131"],"related_works":["https://openalex.org/W2089968568","https://openalex.org/W2048273249","https://openalex.org/W2950239705","https://openalex.org/W2261099788","https://openalex.org/W2498880115","https://openalex.org/W3112295066","https://openalex.org/W1572152362","https://openalex.org/W2765595756","https://openalex.org/W4210343663","https://openalex.org/W2373903136"],"abstract_inverted_index":{"Abstract":[0],"In":[1,36],"this":[2],"paper":[3],"we":[4,38],"present":[5],"some":[6],"metapredicative":[7],"subsystems":[8],"of":[9,26,42,52],"analysis.":[10],"We":[11,28],"deal":[12],"with":[13],"reflection":[14,49],"principles,":[15],"\u03c9-model":[16],"existence":[17,25],"axioms":[18,22],"(limit":[19],"axioms)":[20],"and":[21,47],"asserting":[23],"the":[24,33,40],"hierarchies.":[27],"show":[29],"several":[30],"equivalences":[31],"among":[32],"introduced":[34],"subsystems.":[35],"particular":[37],"prove":[39],"equivalence":[41],"\u03a311":[43],"transfinite":[44],"dependent":[45],"choice":[46],"\u03a021":[48],"on":[50],"\u03c9-models":[51],"\u03a311-DC.":[53]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}