{"id":"https://openalex.org/W2013467307","doi":"https://doi.org/10.1305/ndjfl/1093891405","title":"$\\alpha$-models and the systems $T$ and $T^\\ast$.","display_name":"$\\alpha$-models and the systems $T$ and $T^\\ast$.","publication_year":1974,"publication_date":"1974-07-01","ids":{"openalex":"https://openalex.org/W2013467307","doi":"https://doi.org/10.1305/ndjfl/1093891405","mag":"2013467307"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093891405","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093891405","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-15/issue-3/alpha-models-and-the-systems-T-and-Tast/10.1305/ndjfl/1093891405.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-15/issue-3/alpha-models-and-the-systems-T-and-Tast/10.1305/ndjfl/1093891405.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051726594","display_name":"Newton C. A. da Costa","orcid":"https://orcid.org/0000-0001-7723-2676"},"institutions":[{"id":"https://openalex.org/I4210086099","display_name":"Microsoft (Brazil)","ror":"https://ror.org/00hc2mf91","country_code":"BR","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210086099"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["BR","US"],"is_corresponding":true,"raw_author_name":"Newton C. A. da Costa","raw_affiliation_strings":["University of California Berkeley , California , U.S.A","Univers\u03afdad de Sao Paulo Sao Paulo , Sao Paulo , Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California Berkeley , California , U.S.A","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Univers\u03afdad de Sao Paulo Sao Paulo , Sao Paulo , Brazil","institution_ids":["https://openalex.org/I4210086099"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051726594"],"corresponding_institution_ids":["https://openalex.org/I4210086099","https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.14562648,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"15","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.8335999846458435,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.8335999846458435,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.7541999816894531,"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"}},{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.7350000143051147,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/philosophy","display_name":"Philosophy","score":0.40095779299736023},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3539980947971344}],"concepts":[{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.40095779299736023},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3539980947971344}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1305/ndjfl/1093891405","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093891405","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-15/issue-3/alpha-models-and-the-systems-T-and-Tast/10.1305/ndjfl/1093891405.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/1093891405","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093891405","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/1093891405","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093891405","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-15/issue-3/alpha-models-and-the-systems-T-and-Tast/10.1305/ndjfl/1093891405.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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2013467307.pdf","grobid_xml":"https://content.openalex.org/works/W2013467307.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W619080086","https://openalex.org/W1506329803","https://openalex.org/W1981510179","https://openalex.org/W2011300756","https://openalex.org/W2013479997","https://openalex.org/W2055950262","https://openalex.org/W2324027672","https://openalex.org/W2599759594","https://openalex.org/W6645940424","https://openalex.org/W6664508171"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644"],"abstract_inverted_index":{"This":[0],"paper":[1],"1":[2],"is":[3,37,65,70,110],"the":[4,43,58,62,77,81,86,102,116],"fourth":[5],"(and":[6],"last)":[7],"of":[8,17,53,56,61,66,80,104],"a":[9],"series":[10],"in":[11,42,73],"which":[12,23],"we":[13,45,89],"study":[14],"two":[15,40],"systems":[16],"set":[18],"theory,":[19],"T":[20,93],"and":[21,35,47,94,106],"T*,":[22],"were":[24],"designed":[25],"to":[26,113],"serve":[27],"as":[28,99],"foundations":[29,100],"for":[30,101],"category":[31,105],"theory":[32],"(cf.[3],":[33],"[4],":[34],"[5]).It":[36],"divided":[38],"into":[39],"parts;":[41],"first,":[44],"develop":[46],"make":[48],"more":[49],"precise":[50],"certain":[51],"results":[52],"section":[54],"3":[55],"[5].As":[57],"subject":[59,82],"matter":[60],"first":[63],"part":[64],"independent":[67],"interest,":[68],"it":[69,109],"treated":[71],"here":[72],"some":[74],"detail;":[75],"nonetheless,":[76],"full":[78],"development":[79],"will":[83],"appear":[84],"elsewhere.In":[85],"second":[87],"part,":[88],"only":[90],"outline":[91],"how":[92],"T*":[95],"can":[96],"be":[97],"used":[98],"notions":[103],"functor,":[107],"since":[108],"not":[111],"difficult":[112],"work":[114],"out":[115],"details.":[117],"I.":[118],"\u03b1?-Models":[119]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}