{"id":"https://openalex.org/W2787206234","doi":"https://doi.org/10.1007/s00153-018-0612-9","title":"Consistency of the intensional level of the Minimalist Foundation with Church\u2019s thesis and axiom of choice","display_name":"Consistency of the intensional level of the Minimalist Foundation with Church\u2019s thesis and axiom of choice","publication_year":2018,"publication_date":"2018-01-27","ids":{"openalex":"https://openalex.org/W2787206234","doi":"https://doi.org/10.1007/s00153-018-0612-9","mag":"2787206234"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-018-0612-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-018-0612-9","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":true,"oa_status":"green","oa_url":"https://hdl.handle.net/11577/3260513","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016735166","display_name":"Hajime Ishihara","orcid":"https://orcid.org/0000-0001-6074-4579"},"institutions":[{"id":"https://openalex.org/I177738480","display_name":"Japan Advanced Institute of Science and Technology","ror":"https://ror.org/03frj4r98","country_code":"JP","type":"education","lineage":["https://openalex.org/I177738480"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hajime Ishihara","raw_affiliation_strings":["School of Information Science, Japan Advanced Institute of Science and Technology, Nomi, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science, Japan Advanced Institute of Science and Technology, Nomi, Japan","institution_ids":["https://openalex.org/I177738480"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053199287","display_name":"Maria Emilia Maietti","orcid":"https://orcid.org/0000-0002-9198-066X"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Maria Emilia Maietti","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Padova, Padua, Italy","Dipartimento di Matematica, Universit\u00e0 di Padova, Via Trieste, 63, 35121, Padua, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Padova, Padua, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Padova, Via Trieste, 63, 35121, Padua, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059281721","display_name":"Samuele Maschio","orcid":"https://orcid.org/0000-0002-5491-9704"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Samuele Maschio","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Padova, Padua, Italy","Dipartimento di Matematica, Universit\u00e0 di Padova, Via Trieste, 63, 35121, Padua, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Padova, Padua, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Padova, Via Trieste, 63, 35121, Padua, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022583176","display_name":"Thomas Streicher","orcid":"https://orcid.org/0000-0001-6725-0168"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Thomas Streicher","raw_affiliation_strings":["Fachbereich Mathematik, Technische Universit\u00e4t Darmstadt, Darmstadt, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Technische Universit\u00e4t Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5016735166","https://openalex.org/A5022583176","https://openalex.org/A5053199287","https://openalex.org/A5059281721"],"corresponding_institution_ids":["https://openalex.org/I138689650","https://openalex.org/I177738480","https://openalex.org/I31512782"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.3517,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.85365895,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"57","issue":"7-8","first_page":"873","last_page":"888"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9987999796867371,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9987999796867371,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9961000084877014,"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":0.9789000153541565,"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/mathematics","display_name":"Mathematics","score":0.8577917218208313},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.7827949523925781},{"id":"https://openalex.org/keywords/axiom-of-choice","display_name":"Axiom of choice","score":0.7364164590835571},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.660476565361023},{"id":"https://openalex.org/keywords/constructive-set-theory","display_name":"Constructive set theory","score":0.6542680859565735},{"id":"https://openalex.org/keywords/urelement","display_name":"Urelement","score":0.5887351036071777},{"id":"https://openalex.org/keywords/foundation","display_name":"Foundation (evidence)","score":0.5123218297958374},{"id":"https://openalex.org/keywords/zermelo\u2013fraenkel-set-theory","display_name":"Zermelo\u2013Fraenkel set theory","score":0.46472814679145813},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4065096974372864},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.323375940322876},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2894746959209442},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2456359565258026},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.18292301893234253},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1561715006828308},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.1495875120162964},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12971988320350647}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8577917218208313},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.7827949523925781},{"id":"https://openalex.org/C151797676","wikidata":"https://www.wikidata.org/wiki/Q179692","display_name":"Axiom of choice","level":4,"score":0.7364164590835571},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.660476565361023},{"id":"https://openalex.org/C556429856","wikidata":"https://www.wikidata.org/wiki/Q5164501","display_name":"Constructive set theory","level":5,"score":0.6542680859565735},{"id":"https://openalex.org/C78550038","wikidata":"https://www.wikidata.org/wiki/Q1896657","display_name":"Urelement","level":5,"score":0.5887351036071777},{"id":"https://openalex.org/C2780966255","wikidata":"https://www.wikidata.org/wiki/Q5474306","display_name":"Foundation (evidence)","level":2,"score":0.5123218297958374},{"id":"https://openalex.org/C51460","wikidata":"https://www.wikidata.org/wiki/Q191849","display_name":"Zermelo\u2013Fraenkel set theory","level":5,"score":0.46472814679145813},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4065096974372864},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.323375940322876},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2894746959209442},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2456359565258026},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.18292301893234253},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1561715006828308},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.1495875120162964},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12971988320350647},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"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/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00153-018-0612-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-018-0612-9","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"},{"id":"pmh:oai:www.research.unipd.it:11577/3260513","is_oa":true,"landing_page_url":"https://hdl.handle.net/11577/3260513","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:www.research.unipd.it:11577/3260513","is_oa":true,"landing_page_url":"https://hdl.handle.net/11577/3260513","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.46000000834465027,"display_name":"Quality Education"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W34143232","https://openalex.org/W77027564","https://openalex.org/W89881250","https://openalex.org/W91708239","https://openalex.org/W126568045","https://openalex.org/W569543113","https://openalex.org/W623765668","https://openalex.org/W624912723","https://openalex.org/W1481180394","https://openalex.org/W1498439614","https://openalex.org/W1498926208","https://openalex.org/W1499154644","https://openalex.org/W1511133369","https://openalex.org/W1534018603","https://openalex.org/W1581378641","https://openalex.org/W1589408343","https://openalex.org/W1608607427","https://openalex.org/W1988136938","https://openalex.org/W1997723626","https://openalex.org/W2005065769","https://openalex.org/W2006709633","https://openalex.org/W2065468423","https://openalex.org/W2067914884","https://openalex.org/W2120677003","https://openalex.org/W2137702965","https://openalex.org/W2166869969","https://openalex.org/W2209681999","https://openalex.org/W2291208220","https://openalex.org/W3083054731","https://openalex.org/W3217197059","https://openalex.org/W4229636845","https://openalex.org/W4233061514","https://openalex.org/W4244108936","https://openalex.org/W4251033482"],"related_works":["https://openalex.org/W4233243512","https://openalex.org/W2350176099","https://openalex.org/W288388583","https://openalex.org/W423103167","https://openalex.org/W102859336","https://openalex.org/W1541896744","https://openalex.org/W3034881686","https://openalex.org/W4210343663","https://openalex.org/W3112295066","https://openalex.org/W2373903136"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":20},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}