{"id":"https://openalex.org/W2072851234","doi":"https://doi.org/10.1007/s00153-007-0043-5","title":"Distinguishing non-standard natural numbers in a set theory within \u0141ukasiewicz logic","display_name":"Distinguishing non-standard natural numbers in a set theory within \u0141ukasiewicz logic","publication_year":2007,"publication_date":"2007-02-20","ids":{"openalex":"https://openalex.org/W2072851234","doi":"https://doi.org/10.1007/s00153-007-0043-5","mag":"2072851234"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-007-0043-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-007-0043-5","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical 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/A5022916588","display_name":"Shunsuke Yatabe","orcid":null},"institutions":[{"id":"https://openalex.org/I65837984","display_name":"Kobe University","ror":"https://ror.org/03tgsfw79","country_code":"JP","type":"education","lineage":["https://openalex.org/I65837984"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Shunsuke Yatabe","raw_affiliation_strings":["Department of Computer and Systems Engineering, Kobe University, Rokko-dai chou, Nada-ku, Kobe, 657-8501, Japan","Kobe University"],"affiliations":[{"raw_affiliation_string":"Department of Computer and Systems Engineering, Kobe University, Rokko-dai chou, Nada-ku, Kobe, 657-8501, Japan","institution_ids":["https://openalex.org/I65837984"]},{"raw_affiliation_string":"Kobe University","institution_ids":["https://openalex.org/I65837984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022916588"],"corresponding_institution_ids":["https://openalex.org/I65837984"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.2572,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.8786711,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"46","issue":"3-4","first_page":"281","last_page":"287"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9919000267982483,"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":0.9919000267982483,"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":0.9897000193595886,"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":0.9818999767303467,"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":0.7314753532409668},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.6905079483985901},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.543360710144043},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5130523443222046},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5056259632110596},{"id":"https://openalex.org/keywords/natural","display_name":"Natural (archaeology)","score":0.48972705006599426},{"id":"https://openalex.org/keywords/\u0142ukasiewicz-logic","display_name":"\u0141ukasiewicz logic","score":0.4870484173297882},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.48086386919021606},{"id":"https://openalex.org/keywords/mathematical-logic","display_name":"Mathematical logic","score":0.44434767961502075},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41305258870124817},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26886045932769775},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25615036487579346},{"id":"https://openalex.org/keywords/many-valued-logic","display_name":"Many-valued logic","score":0.252713143825531},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2458111047744751},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2082768678665161},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.16890433430671692},{"id":"https://openalex.org/keywords/substructural-logic","display_name":"Substructural logic","score":0.1570388376712799},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.0777578353881836}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7314753532409668},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.6905079483985901},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.543360710144043},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5130523443222046},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5056259632110596},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.48972705006599426},{"id":"https://openalex.org/C206321295","wikidata":"https://www.wikidata.org/wiki/Q8080919","display_name":"\u0141ukasiewicz logic","level":5,"score":0.4870484173297882},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.48086386919021606},{"id":"https://openalex.org/C47884741","wikidata":"https://www.wikidata.org/wiki/Q1166618","display_name":"Mathematical logic","level":2,"score":0.44434767961502075},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41305258870124817},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26886045932769775},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25615036487579346},{"id":"https://openalex.org/C150889026","wikidata":"https://www.wikidata.org/wiki/Q185502","display_name":"Many-valued logic","level":3,"score":0.252713143825531},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2458111047744751},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2082768678665161},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.16890433430671692},{"id":"https://openalex.org/C144760519","wikidata":"https://www.wikidata.org/wiki/Q839490","display_name":"Substructural logic","level":4,"score":0.1570388376712799},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.0777578353881836},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00153-007-0043-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-007-0043-5","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1489876977","https://openalex.org/W1978704708","https://openalex.org/W2024748032","https://openalex.org/W2092160200","https://openalex.org/W2103607287","https://openalex.org/W2110182592","https://openalex.org/W2132904673","https://openalex.org/W2134788346","https://openalex.org/W2170862108","https://openalex.org/W2467814573","https://openalex.org/W2781959154"],"related_works":["https://openalex.org/W4246276930","https://openalex.org/W4243059149","https://openalex.org/W1499828273","https://openalex.org/W2932582537","https://openalex.org/W3048792601","https://openalex.org/W1552227949","https://openalex.org/W2385624468","https://openalex.org/W4366809670","https://openalex.org/W2612242763","https://openalex.org/W2363452468"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
