{"id":"https://openalex.org/W3124264695","doi":"https://doi.org/10.1017/jsl.2024.74","title":"A NEW WEAK CHOICE PRINCIPLE","display_name":"A NEW WEAK CHOICE PRINCIPLE","publication_year":2026,"publication_date":"2026-02-19","ids":{"openalex":"https://openalex.org/W3124264695","doi":"https://doi.org/10.1017/jsl.2024.74","mag":"3124264695"},"language":"en","primary_location":{"id":"doi:10.1017/jsl.2024.74","is_oa":false,"landing_page_url":"https://doi.org/10.1017/jsl.2024.74","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":"The Journal of Symbolic Logic","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2101.07840","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006815009","display_name":"Lorenz Halbe\u0131sen","orcid":"https://orcid.org/0000-0001-6078-7237"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"LORENZ HALBEISEN","raw_affiliation_strings":["ETH Z\u00dcRICH"],"raw_orcid":"https://orcid.org/0000-0001-6078-7237","affiliations":[{"raw_affiliation_string":"ETH Z\u00dcRICH","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052029535","display_name":"Riccardo Plati","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"RICCARDO PLATI","raw_affiliation_strings":["ETH Z\u00dcRICH"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Z\u00dcRICH","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034151777","display_name":"Salome Schumacher","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"SALOME SCHUMACHER","raw_affiliation_strings":["ETH Z\u00dcRICH"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Z\u00dcRICH","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034151777"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00380424,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"91","issue":"2","first_page":"538","last_page":"555"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9980999827384949,"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":0.9980999827384949,"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":0.9749000072479248,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9592999815940857,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7137722969055176},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7102859616279602},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.7035377025604248},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.5689591765403748},{"id":"https://openalex.org/keywords/family-of-sets","display_name":"Family of sets","score":0.5607208609580994},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.5445731282234192},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5360674262046814},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.4495023787021637},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38667726516723633},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.3118278384208679},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14820396900177002},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1335015892982483}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7137722969055176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7102859616279602},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.7035377025604248},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.5689591765403748},{"id":"https://openalex.org/C150591576","wikidata":"https://www.wikidata.org/wiki/Q739925","display_name":"Family of sets","level":3,"score":0.5607208609580994},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.5445731282234192},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5360674262046814},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.4495023787021637},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38667726516723633},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3118278384208679},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14820396900177002},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1335015892982483},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1017/jsl.2024.74","is_oa":false,"landing_page_url":"https://doi.org/10.1017/jsl.2024.74","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":"The Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2101.07840","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.07840","pdf_url":"https://arxiv.org/pdf/2101.07840","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"raw_type":"text"},{"id":"mag:3124264695","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2101.07840","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2101.07840","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2101.07840","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2101.07840","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.07840","pdf_url":"https://arxiv.org/pdf/2101.07840","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W328650061","https://openalex.org/W1991515818","https://openalex.org/W3132793433"],"related_works":["https://openalex.org/W3199768195","https://openalex.org/W3099732631","https://openalex.org/W2751099058","https://openalex.org/W2949555975","https://openalex.org/W2767593931","https://openalex.org/W2963356545","https://openalex.org/W1616376819","https://openalex.org/W37299639","https://openalex.org/W2135070950","https://openalex.org/W2807019977","https://openalex.org/W2560621250","https://openalex.org/W3169533302","https://openalex.org/W178736079","https://openalex.org/W2123005834","https://openalex.org/W1984981381","https://openalex.org/W2952676036","https://openalex.org/W3152090362","https://openalex.org/W2946673158","https://openalex.org/W3088326670","https://openalex.org/W1945395134"],"abstract_inverted_index":{"Abstract":[0],"For":[1],"every":[2,96],"natural":[3],"number":[4],"n":[5,13,21,125,148,156],"we":[6,142,277,288],"introduce":[7],"a":[8,86,134,262,279],"new":[9,129],"weak":[10,186],"choice":[11,187,263],"principle":[12],"upper":[14,16,149,151,189,191],"R":[15,150,190],"C":[17,152,192],"Subscript":[18,153,193],"f":[19,89,154,265],"i":[20,155],"$\\mathrm":[22,157,195],"{nRC_{fin}}$":[23,158],"<mml:math":[24,70,107,159,197,246],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"":[25,71,108,160,198,247,294],"xmlns:mnf=\"http://cambridge.org/core/manifest\"":[26,72,109,161,199,248],"xmlns:cup=\"http://contentservices.cambridge.org\"":[27,73,110,162,200,249],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[28,74,111,163,201,250],"xmlns:m=\"http://cambridge.org/core/metadata\"":[29,75,112,164,202,251],"xmlns:core=\"http://cambridge.org/core\"":[30,76,113,165,203,252],"xmlns:c=\"http://cambridge.org/core/content\"":[31,77,114,166,204,253],"display=\"inline\">":[32,78,115,167,205,254],"<mml:mstyle":[33,168,206],"mathvariant=\"normal\">":[34,169,207],"<mml:mrow>":[35,40,79,116,170,175,208,255],"<mml:mi>n</mml:mi>":[36,43,171,178],"<mml:mi>R</mml:mi>":[37,172,209],"<mml:msub>":[38,173,210],"<mml:mi>C</mml:mi>":[39,174,211],"<mml:mi>f</mml:mi>":[41,176],"<mml:mi>i</mml:mi>":[42,177],"</mml:mrow>":[44,46,83,120,179,181,214,259],"</mml:msub>":[45,180,213],"</mml:mstyle>":[47,182,215],"</mml:math>":[48,84,121,183,216,260],":":[49],"Given":[50,226],"any":[51,227],"infinite":[52,59,228,235],"set":[53,135,229],"x":[54,67,230,243],",":[55,231],"there":[56,232],"is":[57,233],"an":[58,92,234],"subset":[60,62,94,99,236,238],"y":[61,104,237,274],"of":[63,100,136,147,239,269,273,282],"or":[64,101,240],"equal":[65,102,241],"to":[66,103,184,242],"$y\\subseteq":[68,244],"x$":[69,245],"<mml:mi>y</mml:mi>":[80,119,256],"<mml:mo>\u2286</mml:mo>":[81,118,257],"<mml:mi>x</mml:mi>":[82,258],"and":[85,224],"selection":[87],"function":[88,264],"that":[90],"chooses":[91],"n-element":[93],"from":[95],"finite":[97],"z":[98],"$z\\subseteq":[105],"y$":[106],"<mml:mi>z</mml:mi>":[117],"containing":[122],"at":[123],"least":[124],"elements.":[126],"By":[127],"constructing":[128],"permutation":[130],"models":[131],"built":[132],"on":[133,266],"atoms":[137],"obtained":[138],"as":[139],"Fra\u00efss\u00e9":[140],"limits,":[141],"will":[143],"study":[144,289],"the":[145,185,267,283,290],"relation":[146,291],"principles":[188],"m":[194],"{RC_m}$":[196],"<mml:mi>m</mml:mi>":[212],"(that":[217],"has":[218],"already":[219],"been":[220],"studied":[221],"in":[222,285],"[3]":[223],"[6]):":[225],"with":[261],"family":[268],"all":[270],"m-element":[271],"subsets":[272],".":[275],"Moreover,":[276],"prove":[278],"stronger":[280],"analogue":[281],"results":[284],"[6]":[286],"when":[287],"between":[292],"<jats:inline-graphic":[293],"mime-subtype=\"png\"":[295],"content-type=\"simpl":[296]},"counts_by_year":[],"updated_date":"2026-08-16T07:02:28.622633","created_date":"2021-02-01T00:00:00"}