{"id":"https://openalex.org/W2094931291","doi":"https://doi.org/10.1007/bf00262943","title":"The inconsistency of higher order extensions of Martin-L\ufffdf's type theory","display_name":"The inconsistency of higher order extensions of Martin-L\ufffdf's type theory","publication_year":1989,"publication_date":"1989-11-01","ids":{"openalex":"https://openalex.org/W2094931291","doi":"https://doi.org/10.1007/bf00262943","mag":"2094931291"},"language":"en","primary_location":{"id":"doi:10.1007/bf00262943","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00262943","pdf_url":null,"source":{"id":"https://openalex.org/S161120620","display_name":"Journal of Philosophical Logic","issn_l":"0022-3611","issn":["0022-3611","1573-0433"],"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":"Journal of Philosophical 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/A5042359645","display_name":"Bart Jacobs","orcid":"https://orcid.org/0000-0002-3605-249X"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Bart Jacobs","raw_affiliation_strings":["Department of Computer Science, University of Nijmegen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5042359645"],"corresponding_institution_ids":["https://openalex.org/I145872427"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.18031775,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"18","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9975000023841858,"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":0.9975000023841858,"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/T13124","display_name":"Chemical synthesis and alkaloids","score":0.9751999974250793,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9610000252723694,"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/type-theory","display_name":"Type theory","score":0.7847050428390503},{"id":"https://openalex.org/keywords/axiom-of-choice","display_name":"Axiom of choice","score":0.6875213980674744},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6691292524337769},{"id":"https://openalex.org/keywords/constructive-set-theory","display_name":"Constructive set theory","score":0.6529642343521118},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6246625185012817},{"id":"https://openalex.org/keywords/proposition","display_name":"Proposition","score":0.6035352945327759},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6015219688415527},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.5992584228515625},{"id":"https://openalex.org/keywords/contradiction","display_name":"Contradiction","score":0.5980492830276489},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5883848071098328},{"id":"https://openalex.org/keywords/order-type","display_name":"Order type","score":0.5686092972755432},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.45228737592697144},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4444515109062195},{"id":"https://openalex.org/keywords/universal-set","display_name":"Universal set","score":0.43145787715911865},{"id":"https://openalex.org/keywords/zermelo\u2013fraenkel-set-theory","display_name":"Zermelo\u2013Fraenkel set theory","score":0.4280723035335541},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.41584697365760803},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35398784279823303},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.2693396806716919},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20671117305755615},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.10900160670280457}],"concepts":[{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.7847050428390503},{"id":"https://openalex.org/C151797676","wikidata":"https://www.wikidata.org/wiki/Q179692","display_name":"Axiom of choice","level":4,"score":0.6875213980674744},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6691292524337769},{"id":"https://openalex.org/C556429856","wikidata":"https://www.wikidata.org/wiki/Q5164501","display_name":"Constructive set theory","level":5,"score":0.6529642343521118},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6246625185012817},{"id":"https://openalex.org/C2777152325","wikidata":"https://www.wikidata.org/wiki/Q108163","display_name":"Proposition","level":2,"score":0.6035352945327759},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6015219688415527},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.5992584228515625},{"id":"https://openalex.org/C2776728590","wikidata":"https://www.wikidata.org/wiki/Q363948","display_name":"Contradiction","level":2,"score":0.5980492830276489},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5883848071098328},{"id":"https://openalex.org/C138890893","wikidata":"https://www.wikidata.org/wiki/Q620006","display_name":"Order type","level":2,"score":0.5686092972755432},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.45228737592697144},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4444515109062195},{"id":"https://openalex.org/C102565666","wikidata":"https://www.wikidata.org/wiki/Q1378301","display_name":"Universal set","level":3,"score":0.43145787715911865},{"id":"https://openalex.org/C51460","wikidata":"https://www.wikidata.org/wiki/Q191849","display_name":"Zermelo\u2013Fraenkel set theory","level":5,"score":0.4280723035335541},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.41584697365760803},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35398784279823303},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.2693396806716919},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20671117305755615},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.10900160670280457},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf00262943","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00262943","pdf_url":null,"source":{"id":"https://openalex.org/S161120620","display_name":"Journal of Philosophical Logic","issn_l":"0022-3611","issn":["0022-3611","1573-0433"],"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":"Journal of Philosophical Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"},{"score":0.44999998807907104,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W126568045","https://openalex.org/W1520936552","https://openalex.org/W1986402635","https://openalex.org/W1987439799","https://openalex.org/W1990474964","https://openalex.org/W2028250722","https://openalex.org/W2033225733","https://openalex.org/W2065474337","https://openalex.org/W2066678816","https://openalex.org/W2072395631","https://openalex.org/W2094207004","https://openalex.org/W2106718208","https://openalex.org/W2921789092","https://openalex.org/W3000593863"],"related_works":["https://openalex.org/W2079743999","https://openalex.org/W2083134633","https://openalex.org/W1574825745","https://openalex.org/W2316565157","https://openalex.org/W118173783","https://openalex.org/W102647493","https://openalex.org/W3197691547","https://openalex.org/W2500725777","https://openalex.org/W1988223587","https://openalex.org/W4391120945"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"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"}
