{"id":"https://openalex.org/W3196927481","doi":"https://doi.org/10.1017/s1755020321000447","title":"STEEL\u2019S PROGRAMME: EVIDENTIAL FRAMEWORK, THE CORE AND ULTIMATE-<i>L</i>","display_name":"STEEL\u2019S PROGRAMME: EVIDENTIAL FRAMEWORK, THE CORE AND ULTIMATE-<i>L</i>","publication_year":2021,"publication_date":"2021-08-31","ids":{"openalex":"https://openalex.org/W3196927481","doi":"https://doi.org/10.1017/s1755020321000447","mag":"3196927481"},"language":"en","primary_location":{"id":"doi:10.1017/s1755020321000447","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s1755020321000447","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/22BC5068C2DC48CC899C60E1445A7792/S1755020321000447a.pdf/div-class-title-steel-s-programme-evidential-framework-the-core-and-ultimate-span-class-italic-l-span-div.pdf","source":{"id":"https://openalex.org/S24077076","display_name":"The Review of Symbolic Logic","issn_l":"1755-0203","issn":["1755-0203","1755-0211"],"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 Review 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/22BC5068C2DC48CC899C60E1445A7792/S1755020321000447a.pdf/div-class-title-steel-s-programme-evidential-framework-the-core-and-ultimate-span-class-italic-l-span-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018296270","display_name":"Joan Bagaria","orcid":"https://orcid.org/0000-0002-4686-8222"},"institutions":[{"id":"https://openalex.org/I11932220","display_name":"Instituci\u00f3 Catalana de Recerca i Estudis Avan\u00e7ats","ror":"https://ror.org/0371hy230","country_code":"ES","type":"nonprofit","lineage":["https://openalex.org/I11932220"]},{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"JOAN BAGARIA","raw_affiliation_strings":["CLAUDIO TERNULLO Universitat de Barcelona","ICREA and Universitat de Barcelona and"],"affiliations":[{"raw_affiliation_string":"CLAUDIO TERNULLO Universitat de Barcelona","institution_ids":["https://openalex.org/I71999127"]},{"raw_affiliation_string":"ICREA and Universitat de Barcelona and","institution_ids":["https://openalex.org/I71999127","https://openalex.org/I11932220"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048391193","display_name":"Claudio Ternullo","orcid":"https://orcid.org/0000-0002-1294-0687"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"CLAUDIO TERNULLO","raw_affiliation_strings":["UNIVERSITAT DE BARCELONA DEPARTAMENT DE MATEM\u00c0TIQUES I INFORM\u00c0TICA GRAN VIA DE LES CORTS CATALANES 585 - 08007 BARCELONA, SPAIN"],"affiliations":[{"raw_affiliation_string":"UNIVERSITAT DE BARCELONA DEPARTAMENT DE MATEM\u00c0TIQUES I INFORM\u00c0TICA GRAN VIA DE LES CORTS CATALANES 585 - 08007 BARCELONA, SPAIN","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5048391193"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2661,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.79473171,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"16","issue":"3","first_page":"788","last_page":"812"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9887999892234802,"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/T10258","display_name":"Philosophy and Theoretical Science","score":0.9775999784469604,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/core","display_name":"Core (optical fiber)","score":0.7947489023208618},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.779517412185669},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.722835898399353},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.702663779258728},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.47811976075172424},{"id":"https://openalex.org/keywords/universe","display_name":"Universe","score":0.468140184879303},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44021332263946533},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38266468048095703},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3604087829589844},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31600967049598694},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26504385471343994},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10408541560173035},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07175290584564209},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06665241718292236}],"concepts":[{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.7947489023208618},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.779517412185669},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.722835898399353},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.702663779258728},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47811976075172424},{"id":"https://openalex.org/C84999194","wikidata":"https://www.wikidata.org/wiki/Q1","display_name":"Universe","level":2,"score":0.468140184879303},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44021332263946533},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38266468048095703},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3604087829589844},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31600967049598694},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26504385471343994},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10408541560173035},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07175290584564209},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06665241718292236},{"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s1755020321000447","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s1755020321000447","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/22BC5068C2DC48CC899C60E1445A7792/S1755020321000447a.pdf/div-class-title-steel-s-programme-evidential-framework-the-core-and-ultimate-span-class-italic-l-span-div.pdf","source":{"id":"https://openalex.org/S24077076","display_name":"The Review of Symbolic Logic","issn_l":"1755-0203","issn":["1755-0203","1755-0211"],"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 Review of Symbolic Logic","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1017/s1755020321000447","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s1755020321000447","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/22BC5068C2DC48CC899C60E1445A7792/S1755020321000447a.pdf/div-class-title-steel-s-programme-evidential-framework-the-core-and-ultimate-span-class-italic-l-span-div.pdf","source":{"id":"https://openalex.org/S24077076","display_name":"The Review of Symbolic Logic","issn_l":"1755-0203","issn":["1755-0203","1755-0211"],"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 Review 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/W3196927481.pdf","grobid_xml":"https://content.openalex.org/works/W3196927481.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W52738972","https://openalex.org/W1435886270","https://openalex.org/W1572152362","https://openalex.org/W1969948941","https://openalex.org/W1972672801","https://openalex.org/W1985752672","https://openalex.org/W2029038421","https://openalex.org/W2099202455","https://openalex.org/W2101564260","https://openalex.org/W2110594884","https://openalex.org/W2122326561","https://openalex.org/W2139907287","https://openalex.org/W2189047451","https://openalex.org/W2501022129","https://openalex.org/W2604352492","https://openalex.org/W2794786258","https://openalex.org/W2963783217","https://openalex.org/W2963796299","https://openalex.org/W2969504820","https://openalex.org/W2994785215","https://openalex.org/W3035387947","https://openalex.org/W3101337583","https://openalex.org/W3159191542","https://openalex.org/W4247372698","https://openalex.org/W4252288159"],"related_works":["https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2971214053","https://openalex.org/W2369178846","https://openalex.org/W2082716031","https://openalex.org/W2992829260","https://openalex.org/W4287998863","https://openalex.org/W3133411758","https://openalex.org/W2927651154","https://openalex.org/W2080177675"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"address":[2,70],"Steel\u2019s":[3],"Programme":[4],"to":[5,57],"identify":[6],"a":[7],"\u2018preferred\u2019":[8],"universe":[9],"of":[10,48,52,61,77,80,128,148],"set":[11],"theory":[12],"and":[13,27,51,73,105,108,141],"the":[14,28,32,37,46,66,71,74,78,91,96,99,114,123,146],"best":[15,124],"axioms":[16,24],"extending":[17],"$\\mathsf":[18,25,41,62,81,86,129,149],"{ZFC}$":[19,63,87,130],"by":[20],"using":[21],"his":[22],"multiverse":[23],"{MV}$":[26,42,150],"\u2018core":[29],"hypothesis\u2019.":[30],"In":[31,65,90],"first":[33],"part,":[34,68,93],"we":[35,69,94,135],"examine":[36,106],"evidential":[38,152],"framework":[39],"for":[40],",":[43,104],"in":[44,145],"particular":[45],"use":[47],"large":[49],"cardinals":[50],"\u2018worlds\u2019":[53],"obtained":[54],"through":[55],"forcing":[56],"\u2018represent\u2019":[58],"alternative":[59],"extensions":[60],".":[64,131],"second":[67],"existence":[72],"possible":[75],"features":[76],"core":[79,100],"{MV}_T$":[82],"(where":[83],"T":[84],"is":[85,101],"+Large":[88],"Cardinals).":[89],"last":[92],"discuss":[95],"hypothesis":[97],"that":[98],"Ultimate-":[102],"L":[103,121],"whether":[107],"how,":[109],"based":[110],"on":[111],"this":[112,133],"fact,":[113],"Core":[115],"Universist":[116],"can":[117],"justify":[118],"V":[119],"=Ultimate-":[120],"as":[122],"(and":[125],"ultimate)":[126],"extension":[127],"To":[132],"end,":[134],"take":[136],"into":[137],"account":[138],"several":[139],"strategies,":[140],"assess":[142],"their":[143],"prospects":[144],"light":[147],"\u2019s":[151],"framework.":[153]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-21T06:05:55.347736","created_date":"2025-10-10T00:00:00"}