{"id":"https://openalex.org/W2046420469","doi":"https://doi.org/10.1016/0168-0072(87)90079-0","title":"Ordinal notations based on a hierarchy of inaccessible cardinals","display_name":"Ordinal notations based on a hierarchy of inaccessible cardinals","publication_year":1987,"publication_date":"1987-01-01","ids":{"openalex":"https://openalex.org/W2046420469","doi":"https://doi.org/10.1016/0168-0072(87)90079-0","mag":"2046420469"},"language":"en","primary_location":{"id":"doi:10.1016/0168-0072(87)90079-0","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0168-0072(87)90079-0","pdf_url":"https://www.sciencedirect.com/science/article/pii/0168007287900790/pdf","source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/0168007287900790/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049894923","display_name":"Wolfram Pohlers","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Wolfram Pohlers","raw_affiliation_strings":["Institut f\u00fcr Mathematische Logik und Grundlagenforschung, M\u00fcnster, Fed. Rep. Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematische Logik und Grundlagenforschung, M\u00fcnster, Fed. Rep. Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5049894923"],"corresponding_institution_ids":[],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":1.0517,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.75474083,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"33","issue":null,"first_page":"157","last_page":"179"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9927999973297119,"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":0.9927999973297119,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.982200026512146,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9556000232696533,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.8815172910690308},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.6914910674095154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6116307377815247},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5252825021743774},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.49604544043540955},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.4887537956237793},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43039119243621826},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4267398715019226},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4090764820575714},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2854287624359131},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2656930685043335},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.17973211407661438},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1255996823310852}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.8815172910690308},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.6914910674095154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6116307377815247},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5252825021743774},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.49604544043540955},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.4887537956237793},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43039119243621826},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4267398715019226},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4090764820575714},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2854287624359131},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2656930685043335},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.17973211407661438},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1255996823310852},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0168-0072(87)90079-0","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0168-0072(87)90079-0","pdf_url":"https://www.sciencedirect.com/science/article/pii/0168007287900790/pdf","source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/0168-0072(87)90079-0","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0168-0072(87)90079-0","pdf_url":"https://www.sciencedirect.com/science/article/pii/0168007287900790/pdf","source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied 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/W2046420469.pdf","grobid_xml":"https://content.openalex.org/works/W2046420469.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1579817075","https://openalex.org/W1933172573","https://openalex.org/W2015983875","https://openalex.org/W2066878363","https://openalex.org/W2087185740","https://openalex.org/W3038873949","https://openalex.org/W6634587778","https://openalex.org/W6640363532"],"related_works":["https://openalex.org/W2504004674","https://openalex.org/W1595229445","https://openalex.org/W315394019","https://openalex.org/W2498744856","https://openalex.org/W4390482104","https://openalex.org/W322408318","https://openalex.org/W149041114","https://openalex.org/W4236845313","https://openalex.org/W4256690066","https://openalex.org/W2372890883"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-02T14:50:37.381335","created_date":"2025-10-10T00:00:00"}
