{"id":"https://openalex.org/W2075382666","doi":"https://doi.org/10.1016/0168-0072(93)e0071-u","title":"A model for intuitionistic non-standard arithmetic","display_name":"A model for intuitionistic non-standard arithmetic","publication_year":1995,"publication_date":"1995-05-01","ids":{"openalex":"https://openalex.org/W2075382666","doi":"https://doi.org/10.1016/0168-0072(93)e0071-u","mag":"2075382666"},"language":"en","primary_location":{"id":"doi:10.1016/0168-0072(93)e0071-u","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0168-0072(93)e0071-u","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015377052","display_name":"Ieke Moerdijk","orcid":null},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Ieke Moerdijk","raw_affiliation_strings":["Mathematisch Instituut, Universiteit Utrecht, P.O. Box 80.010, 3508 TA Utrecht, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisch Instituut, Universiteit Utrecht, P.O. Box 80.010, 3508 TA Utrecht, Netherlands","institution_ids":["https://openalex.org/I193662353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015377052"],"corresponding_institution_ids":["https://openalex.org/I193662353"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":3.5352,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.92897953,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"73","issue":"1","first_page":"37","last_page":"51"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.8108999729156494,"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":0.8108999729156494,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.8105999827384949,"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/constructive","display_name":"Constructive","score":0.6720412969589233},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6485965847969055},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6266984343528748},{"id":"https://openalex.org/keywords/metatheory","display_name":"Metatheory","score":0.5964677929878235},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5814128518104553},{"id":"https://openalex.org/keywords/second-order-arithmetic","display_name":"Second-order arithmetic","score":0.5804728269577026},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4593963325023651},{"id":"https://openalex.org/keywords/axiom-of-choice","display_name":"Axiom of choice","score":0.44123023748397827},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3444359302520752},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3370409607887268},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.312394380569458},{"id":"https://openalex.org/keywords/peano-axioms","display_name":"Peano axioms","score":0.2263706922531128},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21084976196289062},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.1458200216293335},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11843216419219971},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.07639193534851074}],"concepts":[{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6720412969589233},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6485965847969055},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6266984343528748},{"id":"https://openalex.org/C39387531","wikidata":"https://www.wikidata.org/wiki/Q1096708","display_name":"Metatheory","level":2,"score":0.5964677929878235},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5814128518104553},{"id":"https://openalex.org/C65148605","wikidata":"https://www.wikidata.org/wiki/Q7442973","display_name":"Second-order arithmetic","level":3,"score":0.5804728269577026},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4593963325023651},{"id":"https://openalex.org/C151797676","wikidata":"https://www.wikidata.org/wiki/Q179692","display_name":"Axiom of choice","level":4,"score":0.44123023748397827},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3444359302520752},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3370409607887268},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.312394380569458},{"id":"https://openalex.org/C97489613","wikidata":"https://www.wikidata.org/wiki/Q842755","display_name":"Peano axioms","level":2,"score":0.2263706922531128},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21084976196289062},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.1458200216293335},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11843216419219971},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.07639193534851074},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0168-0072(93)e0071-u","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0168-0072(93)e0071-u","pdf_url":null,"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"},{"id":"pmh:oai:repository.ubn.ru.nl:2066/129065","is_oa":false,"landing_page_url":"http://hdl.handle.net/2066/129065","pdf_url":null,"source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Annals of Pure and Applied Logic, 73, 1, pp. 37-51","raw_type":"Article / Letter to editor"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W36355091","https://openalex.org/W950096932","https://openalex.org/W1534018603","https://openalex.org/W1589463641","https://openalex.org/W1592387182","https://openalex.org/W2049362364","https://openalex.org/W2118041160","https://openalex.org/W2291208220","https://openalex.org/W2314345282","https://openalex.org/W2324455841","https://openalex.org/W2619559139","https://openalex.org/W4312701703","https://openalex.org/W6669070640","https://openalex.org/W6696956747","https://openalex.org/W6738221855","https://openalex.org/W6847472069"],"related_works":["https://openalex.org/W4255069280","https://openalex.org/W3112295066","https://openalex.org/W1844282629","https://openalex.org/W4210343663","https://openalex.org/W2373903136","https://openalex.org/W2056145119","https://openalex.org/W2963686080","https://openalex.org/W2017971007","https://openalex.org/W4229690001","https://openalex.org/W2951707517"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-17T08:19:37.847499","created_date":"2016-06-24T00:00:00"}
