{"id":"https://openalex.org/W2038627458","doi":"https://doi.org/10.1002/malq.19970430312","title":"Non\u2010standard Analysis in WKL<sub>0</sub>","display_name":"Non\u2010standard Analysis in WKL<sub>0</sub>","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2038627458","doi":"https://doi.org/10.1002/malq.19970430312","mag":"2038627458"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19970430312","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19970430312","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["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/A5110462436","display_name":"Kazuyuki Tanaka","orcid":null},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kazuyuki Tanaka","raw_affiliation_strings":["Mathematical Institute, Tohoku University, Sendai 980-77, Japan","The author would like to thank Takeshi Yamazaki for helpful discussions"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Tohoku University, Sendai 980-77, Japan","institution_ids":["https://openalex.org/I201537933"]},{"raw_affiliation_string":"The author would like to thank Takeshi Yamazaki for helpful discussions","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110462436"],"corresponding_institution_ids":["https://openalex.org/I201537933"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.2588,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.5143925,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"43","issue":"3","first_page":"396","last_page":"400"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9860000014305115,"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":0.9833999872207642,"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":0.9208616614341736},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7990092635154724},{"id":"https://openalex.org/keywords/second-order-arithmetic","display_name":"Second-order arithmetic","score":0.7190825939178467},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5208709239959717},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.46691158413887024},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3798585832118988},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3689175546169281},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36717942357063293},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.03982064127922058}],"concepts":[{"id":"https://openalex.org/C97489613","wikidata":"https://www.wikidata.org/wiki/Q842755","display_name":"Peano axioms","level":2,"score":0.9208616614341736},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7990092635154724},{"id":"https://openalex.org/C65148605","wikidata":"https://www.wikidata.org/wiki/Q7442973","display_name":"Second-order arithmetic","level":3,"score":0.7190825939178467},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5208709239959717},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.46691158413887024},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3798585832118988},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3689175546169281},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36717942357063293},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.03982064127922058},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.19970430312","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19970430312","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1843935787","https://openalex.org/W2013342737","https://openalex.org/W2094306267","https://openalex.org/W2106260240"],"related_works":["https://openalex.org/W4255069280","https://openalex.org/W2951195380","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"],"abstract_inverted_index":{"Abstract":[0],"Within":[1],"a":[2],"weak":[3],"subsystem":[4],"of":[5,15],"second\u2010order":[6],"arithmetic":[7],"WKL":[8],"0":[9],",":[10],"we":[11],"develop":[12],"basic":[13],"part":[14],"non\u2010standard":[16],"analysis":[17],"up":[18],"to":[19],"the":[20],"Peano":[21],"existence":[22],"theorem.":[23]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
