{"id":"https://openalex.org/W2003974596","doi":"https://doi.org/10.1002/malq.19940400114","title":"Universal Induction and True Universal Arithmetic","display_name":"Universal Induction and True Universal Arithmetic","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W2003974596","doi":"https://doi.org/10.1002/malq.19940400114","mag":"2003974596"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19940400114","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19940400114","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5091080470","display_name":"Teresa Bigorajska","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Teresa Bigorajska","raw_affiliation_strings":["Katedra Matematyki i Fizyki WSRP w Siedlcach, ul. Orlicz-Dreszera 19/21, 08\u2013110 Siedlce, Poland","Katedra Matematyki i Fizyki WSRP w Siedlcach, ul. Orlicz\u2010Dreszera 19/21, 08\u2013110 Siedlce, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Katedra Matematyki i Fizyki WSRP w Siedlcach, ul. Orlicz-Dreszera 19/21, 08\u2013110 Siedlce, Poland","institution_ids":[]},{"raw_affiliation_string":"Katedra Matematyki i Fizyki WSRP w Siedlcach, ul. Orlicz\u2010Dreszera 19/21, 08\u2013110 Siedlce, Poland","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5091080470"],"corresponding_institution_ids":[],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12317124,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"1","first_page":"103","last_page":"105"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9908999800682068,"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":0.9908999800682068,"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":0.9891999959945679,"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/T10126","display_name":"Logic, programming, and type systems","score":0.984499990940094,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8759411573410034},{"id":"https://openalex.org/keywords/mathematics-subject-classification","display_name":"Mathematics Subject Classification","score":0.7537566423416138},{"id":"https://openalex.org/keywords/finitely-generated-abelian-group","display_name":"Finitely-generated abelian group","score":0.5652204751968384},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5642687082290649},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.43496328592300415},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41347184777259827},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3866159915924072},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3650118410587311},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08648952841758728}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8759411573410034},{"id":"https://openalex.org/C2778778035","wikidata":"https://www.wikidata.org/wiki/Q967960","display_name":"Mathematics Subject Classification","level":2,"score":0.7537566423416138},{"id":"https://openalex.org/C162860070","wikidata":"https://www.wikidata.org/wiki/Q142140","display_name":"Finitely-generated abelian group","level":2,"score":0.5652204751968384},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5642687082290649},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.43496328592300415},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41347184777259827},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3866159915924072},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3650118410587311},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08648952841758728},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.19940400114","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19940400114","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.75}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W1022561181"],"related_works":["https://openalex.org/W1441652847","https://openalex.org/W2030729349","https://openalex.org/W4249530125","https://openalex.org/W1944601446","https://openalex.org/W2502533382","https://openalex.org/W87529998","https://openalex.org/W4247547172","https://openalex.org/W2072257898","https://openalex.org/W2060626506","https://openalex.org/W1987946099"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"prove":[2],"that":[3],"every":[4],"finitely":[5],"generated":[6],"(as":[7],"a":[8],"ring)":[9],"model":[10],"for":[11,13],"induction":[12],"universal":[14,22],"formulas":[15],"without":[16],"parameters":[17],"satisfies":[18],"also":[19],"all":[20],"true":[21],"sentences.":[23],"Mathematics":[24],"Subject":[25],"Classification:":[26],"03C62.":[27]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
