{"id":"https://openalex.org/W2041934056","doi":"https://doi.org/10.1215/00294527-2010-033","title":"An Order-Theoretic Account of Some Set-Theoretic Paradoxes","display_name":"An Order-Theoretic Account of Some Set-Theoretic Paradoxes","publication_year":2010,"publication_date":"2010-12-13","ids":{"openalex":"https://openalex.org/W2041934056","doi":"https://doi.org/10.1215/00294527-2010-033","mag":"2041934056"},"language":"en","primary_location":{"id":"doi:10.1215/00294527-2010-033","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-2010-033","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-52/issue-1/An-Order-Theoretic-Account-of-Some-Set-Theoretic-Paradoxes/10.1215/00294527-2010-033.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-52/issue-1/An-Order-Theoretic-Account-of-Some-Set-Theoretic-Paradoxes/10.1215/00294527-2010-033.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006033525","display_name":"Thomas F\u00f6rster","orcid":"https://orcid.org/0000-0002-7711-2276"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]},{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]}],"countries":["BE","FR"],"is_corresponding":false,"raw_author_name":"Thomas Forster","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques Universit\u00e9 Libre de Bruxelles CP211, Bd du Triomphe B-1050 Bruxelles BELGIUM","Department of Pure Mathematics and Mathematical Statistics University of Cambridge Wilberforce Road Cambridge CB3 0WB UNITED KINGDOM"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques Universit\u00e9 Libre de Bruxelles CP211, Bd du Triomphe B-1050 Bruxelles BELGIUM","institution_ids":["https://openalex.org/I132053463","https://openalex.org/I3019441195"]},{"raw_affiliation_string":"Department of Pure Mathematics and Mathematical Statistics University of Cambridge Wilberforce Road Cambridge CB3 0WB UNITED KINGDOM","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058854207","display_name":"Thierry Libert","orcid":null},"institutions":[{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]},{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE","FR"],"is_corresponding":true,"raw_author_name":"Thierry Libert","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques Universit\u00e9 Libre de Bruxelles CP211, Bd du Triomphe B-1050 Bruxelles BELGIUM","Department of Pure Mathematics and Mathematical Statistics University of Cambridge Wilberforce Road Cambridge CB3 0WB UNITED KINGDOM"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques Universit\u00e9 Libre de Bruxelles CP211, Bd du Triomphe B-1050 Bruxelles BELGIUM","institution_ids":["https://openalex.org/I132053463","https://openalex.org/I3019441195"]},{"raw_affiliation_string":"Department of Pure Mathematics and Mathematical Statistics University of Cambridge Wilberforce Road Cambridge CB3 0WB UNITED KINGDOM","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058854207"],"corresponding_institution_ids":["https://openalex.org/I132053463","https://openalex.org/I3019441195"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.11949369,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"52","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9287999868392944,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9287999868392944,"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":0.9063000082969666,"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/variety","display_name":"Variety (cybernetics)","score":0.70137619972229},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6220641136169434},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6035268306732178},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5734196901321411},{"id":"https://openalex.org/keywords/phenomenon","display_name":"Phenomenon","score":0.4946453273296356},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.46677178144454956},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.4329044222831726},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3468177914619446},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.3333207368850708},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32871943712234497},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32101646065711975},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2993931770324707},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.15341049432754517}],"concepts":[{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.70137619972229},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6220641136169434},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6035268306732178},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5734196901321411},{"id":"https://openalex.org/C50335755","wikidata":"https://www.wikidata.org/wiki/Q483247","display_name":"Phenomenon","level":2,"score":0.4946453273296356},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.46677178144454956},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.4329044222831726},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3468177914619446},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.3333207368850708},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32871943712234497},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32101646065711975},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2993931770324707},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.15341049432754517},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1215/00294527-2010-033","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-2010-033","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-52/issue-1/An-Order-Theoretic-Account-of-Some-Set-Theoretic-Paradoxes/10.1215/00294527-2010-033.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.ndjfl/1292249607","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1292249607","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"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/92010","is_oa":false,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/92010","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Notre Dame journal of formal logic, 52 (1","raw_type":"info:ulb-repo/semantics/openurl/article"}],"best_oa_location":{"id":"doi:10.1215/00294527-2010-033","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-2010-033","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-52/issue-1/An-Order-Theoretic-Account-of-Some-Set-Theoretic-Paradoxes/10.1215/00294527-2010-033.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2041934056.pdf","grobid_xml":"https://content.openalex.org/works/W2041934056.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1814429312","https://openalex.org/W1973632985","https://openalex.org/W2066981698","https://openalex.org/W2084030866","https://openalex.org/W2124571359","https://openalex.org/W2500124111","https://openalex.org/W2557327337","https://openalex.org/W2957465573","https://openalex.org/W4253211478"],"related_works":["https://openalex.org/W4300450609","https://openalex.org/W4386931570","https://openalex.org/W2391010541","https://openalex.org/W2357367123","https://openalex.org/W2387276901","https://openalex.org/W2385953334","https://openalex.org/W2130834282","https://openalex.org/W2351303360","https://openalex.org/W3134118520","https://openalex.org/W2349223072"],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2],"order-theoretic":[3],"analysis":[4,9],"of":[5,16,32,35,42],"set-theoretic":[6,18],"paradoxes.":[7],"This":[8],"will":[10],"show":[11],"that":[12],"a":[13,43],"large":[14],"variety":[15],"purely":[17],"paradoxes":[19,24,34],"(including":[20],"the":[21,29,33],"various":[22],"Russell":[23],"as":[25,27],"well":[26],"all":[28,40],"familiar":[30],"implementations":[31],"Mirimanoff":[36],"and":[37],"Burali-Forti)":[38],"are":[39],"instances":[41],"single":[44],"limitative":[45],"phenomenon.":[46]},"counts_by_year":[{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}