{"id":"https://openalex.org/W4252400002","doi":"https://doi.org/10.1305/ndjfl/1040136916","title":"PA(aa)","display_name":"PA(aa)","publication_year":1995,"publication_date":"1995-10-01","ids":{"openalex":"https://openalex.org/W4252400002","doi":"https://doi.org/10.1305/ndjfl/1040136916"},"language":"es","primary_location":{"id":"doi:10.1305/ndjfl/1040136916","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1040136916","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-36/issue-4/PAaa/10.1305/ndjfl/1040136916.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-36/issue-4/PAaa/10.1305/ndjfl/1040136916.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091663311","display_name":"James H. Schmerl","orcid":"https://orcid.org/0000-0003-0545-8339"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"James H. Schmerl","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091663311"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.3901717,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"36","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9987000226974487,"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":0.9987000226974487,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9962999820709229,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9962999820709229,"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/peano-axioms","display_name":"Peano axioms","score":0.940998911857605},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6460830569267273},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5903915762901306},{"id":"https://openalex.org/keywords/second-order-arithmetic","display_name":"Second-order arithmetic","score":0.5646485090255737},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5048990845680237},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4418644607067108},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4213820695877075},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32918426394462585},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2572871446609497},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12091973423957825}],"concepts":[{"id":"https://openalex.org/C97489613","wikidata":"https://www.wikidata.org/wiki/Q842755","display_name":"Peano axioms","level":2,"score":0.940998911857605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6460830569267273},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5903915762901306},{"id":"https://openalex.org/C65148605","wikidata":"https://www.wikidata.org/wiki/Q7442973","display_name":"Second-order arithmetic","level":3,"score":0.5646485090255737},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5048990845680237},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4418644607067108},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4213820695877075},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32918426394462585},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2572871446609497},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12091973423957825},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1305/ndjfl/1040136916","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1040136916","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-36/issue-4/PAaa/10.1305/ndjfl/1040136916.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/1040136916","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.ndjfl/1040136916","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/1040136916","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1040136916","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-36/issue-4/PAaa/10.1305/ndjfl/1040136916.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/W4252400002.pdf","grobid_xml":"https://content.openalex.org/works/W4252400002.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W6007438","https://openalex.org/W180170539","https://openalex.org/W1973565124","https://openalex.org/W1990173569","https://openalex.org/W2005800778","https://openalex.org/W2009675710","https://openalex.org/W2011178105","https://openalex.org/W2044107340","https://openalex.org/W2054590056","https://openalex.org/W2054770471","https://openalex.org/W2095271848","https://openalex.org/W4210589687"],"related_works":["https://openalex.org/W1543500847","https://openalex.org/W87599178","https://openalex.org/W2017398442","https://openalex.org/W1991956515","https://openalex.org/W4206411991","https://openalex.org/W2023423328","https://openalex.org/W2059028119","https://openalex.org/W2003918494","https://openalex.org/W4224937162","https://openalex.org/W2159187982"],"abstract_inverted_index":{"The":[0],"theory":[1,21],"PA(aa),":[2],"which":[3],"is":[4,13,31],"Peano":[5],"Arithmetic":[6],"in":[7],"the":[8,19,23],"context":[9],"of":[10,22,25,29],"stationary":[11],"logic,":[12],"shown":[14],"to":[15],"be":[16],"consistent.":[17],"Moreover,":[18],"first-order":[20],"class":[24],"finitely":[26],"determinate":[27],"models":[28],"PA(aa)":[30],"characterized.":[32]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-05-12T00:00:00"}
