{"id":"https://openalex.org/W2072257469","doi":"https://doi.org/10.1142/s0219061311000992","title":"AN EQUICONSISTENCY RESULT ON PARTIAL SQUARES","display_name":"AN EQUICONSISTENCY RESULT ON PARTIAL SQUARES","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2072257469","doi":"https://doi.org/10.1142/s0219061311000992","mag":"2072257469"},"language":"en","primary_location":{"id":"doi:10.1142/s0219061311000992","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219061311000992","pdf_url":null,"source":{"id":"https://openalex.org/S29890666","display_name":"Journal of Mathematical Logic","issn_l":"0219-0613","issn":["0219-0613","1793-6691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical 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/A5108391805","display_name":"John Krueger","orcid":null},"institutions":[{"id":"https://openalex.org/I123534392","display_name":"University of North Texas","ror":"https://ror.org/00v97ad02","country_code":"US","type":"education","lineage":["https://openalex.org/I123534392"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"JOHN KRUEGER","raw_affiliation_strings":["Department of Mathematics, University of North Texas, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of North Texas, USA","institution_ids":["https://openalex.org/I123534392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049905032","display_name":"Ernest Schimmerling","orcid":"https://orcid.org/0000-0001-6740-4809"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"ERNEST SCHIMMERLING","raw_affiliation_strings":["Department of Mathematical Sciences, Carnegie Mellon University, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Carnegie Mellon University, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5108391805"],"corresponding_institution_ids":["https://openalex.org/I123534392"],"apc_list":null,"apc_paid":null,"fwci":0.7523,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.70290145,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"11","issue":"01","first_page":"29","last_page":"59"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":1.0,"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":1.0,"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":0.9884999990463257,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/uncountable-set","display_name":"Uncountable set","score":0.957537829875946},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8352807760238647},{"id":"https://openalex.org/keywords/existential-quantification","display_name":"Existential quantification","score":0.7193703055381775},{"id":"https://openalex.org/keywords/regular-cardinal","display_name":"Regular cardinal","score":0.543686032295227},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.5210820436477661},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5024363994598389},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4038568139076233},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07700866460800171},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.05691772699356079}],"concepts":[{"id":"https://openalex.org/C142399903","wikidata":"https://www.wikidata.org/wiki/Q1128796","display_name":"Uncountable set","level":3,"score":0.957537829875946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8352807760238647},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.7193703055381775},{"id":"https://openalex.org/C89507440","wikidata":"https://www.wikidata.org/wiki/Q1193137","display_name":"Regular cardinal","level":2,"score":0.543686032295227},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.5210820436477661},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5024363994598389},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4038568139076233},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07700866460800171},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.05691772699356079}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219061311000992","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219061311000992","pdf_url":null,"source":{"id":"https://openalex.org/S29890666","display_name":"Journal of Mathematical Logic","issn_l":"0219-0613","issn":["0219-0613","1793-6691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Logic","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.640.9233","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.640.9233","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.unt.edu/~jkrueger/paper16.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5699999928474426,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1595388840","https://openalex.org/W1844253219","https://openalex.org/W1969194502","https://openalex.org/W1981461171","https://openalex.org/W1999038509","https://openalex.org/W2007936948","https://openalex.org/W2037105459","https://openalex.org/W2066529933","https://openalex.org/W2102234914","https://openalex.org/W2122092051","https://openalex.org/W2122314349","https://openalex.org/W2907682301","https://openalex.org/W4255644245"],"related_works":["https://openalex.org/W4289676933","https://openalex.org/W2950296149","https://openalex.org/W2885719937","https://openalex.org/W4297981628","https://openalex.org/W2952331208","https://openalex.org/W4298219619","https://openalex.org/W2097355897","https://openalex.org/W2167408243","https://openalex.org/W2567038806","https://openalex.org/W2072257469"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2,23],"the":[3],"following":[4],"two":[5],"statements":[6],"are":[7],"equiconsistent:":[8],"there":[9,15],"exists":[10,16],"a":[11,17,34],"greatly":[12],"Mahlo":[13],"cardinal;":[14],"regular":[18],"uncountable":[19],"cardinal":[20],"\u03ba":[21,28],"such":[22],"no":[24],"stationary":[25],"subset":[26],"of":[27],"+":[29],"\u2229":[30],"cof":[31],"(\u03ba)":[32],"carries":[33],"partial":[35],"square.":[36]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
