{"id":"https://openalex.org/W2035483884","doi":"https://doi.org/10.1305/ndjfl/1093893939","title":"Corrigendum to our paper: ``A theorem on $n$-tuples which is equivalent to the well-ordering theorem''.","display_name":"Corrigendum to our paper: ``A theorem on $n$-tuples which is equivalent to the well-ordering theorem''.","publication_year":1970,"publication_date":"1970-04-01","ids":{"openalex":"https://openalex.org/W2035483884","doi":"https://doi.org/10.1305/ndjfl/1093893939","mag":"2035483884"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093893939","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093893939","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-11/issue-2/Corrigendum-to-our-paper--A-theorem-on-n-tuples/10.1305/ndjfl/1093893939.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":"erratum","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-11/issue-2/Corrigendum-to-our-paper--A-theorem-on-n-tuples/10.1305/ndjfl/1093893939.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051987821","display_name":"Harvey Rubin","orcid":"https://orcid.org/0000-0002-2899-425X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"H. Rubin","raw_affiliation_strings":["Purdue University Lafayette, Indiana"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Purdue University Lafayette, Indiana","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073538536","display_name":"Jean E. Rubin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. E. Rubin","raw_affiliation_strings":["Purdue University Lafayette, Indiana"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Purdue University Lafayette, Indiana","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15362731,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9950000047683716,"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"}},"topics":[{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9950000047683716,"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"}},{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9847000241279602,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9753999710083008,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tuple","display_name":"Tuple","score":0.768358588218689},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5810500383377075},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4345032572746277}],"concepts":[{"id":"https://openalex.org/C118930307","wikidata":"https://www.wikidata.org/wiki/Q600590","display_name":"Tuple","level":2,"score":0.768358588218689},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5810500383377075},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4345032572746277}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1305/ndjfl/1093893939","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093893939","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-11/issue-2/Corrigendum-to-our-paper--A-theorem-on-n-tuples/10.1305/ndjfl/1093893939.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/1093893939","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093893939","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":{"id":"doi:10.1305/ndjfl/1093893939","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093893939","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-11/issue-2/Corrigendum-to-our-paper--A-theorem-on-n-tuples/10.1305/ndjfl/1093893939.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":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2035483884.pdf","grobid_xml":"https://content.openalex.org/works/W2035483884.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2143551613","https://openalex.org/W4245395944","https://openalex.org/W1979740464","https://openalex.org/W1979597421","https://openalex.org/W2138823233","https://openalex.org/W2007980826","https://openalex.org/W2143345456","https://openalex.org/W2023236823","https://openalex.org/W1789991335","https://openalex.org/W2562731034"],"abstract_inverted_index":{"In":[0],"the":[1,5,9,52],"original":[2],"paper":[3],"1":[4,13],"last":[6],"part":[7],"of":[8,11,43,46,56],"proof":[10],"Theorem":[12],"was":[14,18],"incorrect.":[15],"(The":[16],"error":[17],"called":[19],"to":[20],"our":[21],"attention":[22],"by":[23],"J.":[24],"D.":[25],"Halpern.":[26],"See":[27],"p.":[28],"49,":[29],"lines":[30],"2-9).":[31],"We":[32],"correct":[33],"it":[34],"as":[35],"follows:":[36],"If":[37],"k":[38,60,68,83,86],"is":[39,77],"not":[40],"a":[41],"subset":[42],"any":[44],"element":[45,54],"y":[47],",":[48,67],"let":[49],"t'":[50],"be":[51],"smallest":[53],"5":[55],"T":[57,80],"such":[58,81],"that":[59,82],"c":[61],"s,":[62,69],"but":[63],"for":[64,71],"all":[65,72],"<":[66],"and":[70],">":[73],"y,":[74],"if":[75],"there":[76],"an":[78],"r":[79],"Qr":[84],"then":[85],"<jt":[87],"s.":[88]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}