{"id":"https://openalex.org/W2077783082","doi":"https://doi.org/10.2307/2269692","title":"A note on universal sets","display_name":"A note on universal sets","publication_year":1966,"publication_date":"1966-12-01","ids":{"openalex":"https://openalex.org/W2077783082","doi":"https://doi.org/10.2307/2269692","mag":"2077783082"},"language":"en","primary_location":{"id":"doi:10.2307/2269692","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2269692","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":"Journal of Symbolic 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/A5087823786","display_name":"A. H. Lachlan","orcid":null},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"A. H. Lachlan","raw_affiliation_strings":["Simon Fraser University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Simon Fraser University","institution_ids":["https://openalex.org/I18014758"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087823786"],"corresponding_institution_ids":["https://openalex.org/I18014758"],"apc_list":null,"apc_paid":null,"fwci":1.7213,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.88701754,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"31","issue":"4","first_page":"573","last_page":"574"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9606999754905701,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9606999754905701,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9556999802589417,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.8139082193374634},{"id":"https://openalex.org/keywords/universal-set","display_name":"Universal set","score":0.7638120055198669},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6142222881317139},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6141341328620911},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.6008650660514832},{"id":"https://openalex.org/keywords/natural","display_name":"Natural (archaeology)","score":0.588827908039093},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45724961161613464},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44946107268333435},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2567490339279175}],"concepts":[{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.8139082193374634},{"id":"https://openalex.org/C102565666","wikidata":"https://www.wikidata.org/wiki/Q1378301","display_name":"Universal set","level":3,"score":0.7638120055198669},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6142222881317139},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6141341328620911},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.6008650660514832},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.588827908039093},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45724961161613464},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44946107268333435},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2567490339279175},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2269692","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2269692","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":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1183735615","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183735615","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":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2035004935","https://openalex.org/W2562830775"],"related_works":["https://openalex.org/W3008380943","https://openalex.org/W2115206405","https://openalex.org/W4387718383","https://openalex.org/W1528986568","https://openalex.org/W2077783082","https://openalex.org/W2382084286","https://openalex.org/W2007089758","https://openalex.org/W1465108814","https://openalex.org/W2065683845","https://openalex.org/W196788981"],"abstract_inverted_index":{"In":[0],"this":[1],"note":[2],"is":[3,12,19,26,45,66,73,81],"proved":[4],"the":[5,50,85],"following:":[6],"Theorem.":[7],"I\u0192":[8],"A":[9,60,62,78],"\u00d7":[10,79],"B":[11,18,25,80],"universal":[13,27,68,83],"and":[14],"one":[15,22],"o\u0192":[16],"A,":[17,24],"r.e.":[20,71],"then":[21],"of":[23,49,57,63],".":[28],"Let":[29],"\u03b1,":[30],"\u03c4":[31],"be":[32],"1-argument":[33],"recursive":[34],"functions":[35],"such":[36],"that":[37],"x":[38],"goes":[39],"to":[40,76],"(":[41],"\u03c3(\u03c7),":[42],"\u03c4(\u03c7)":[43],")":[44],"a":[46],"(1\u20131)":[47],"map":[48],"natural":[51,58,64],"numbers":[52,65],"onto":[53],"all":[54],"ordered":[55],"pairs":[56],"numbers.":[59],"set":[61,72,86],"called":[67,82],"if":[69,84],"every":[70],"(many-one)":[74],"reducible":[75],"A;":[77]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
