{"id":"https://openalex.org/W2083108136","doi":"https://doi.org/10.1016/0097-8493(93)90013-y","title":"Self-reference and paradox in two and three dimensions","display_name":"Self-reference and paradox in two and three dimensions","publication_year":1993,"publication_date":"1993-09-01","ids":{"openalex":"https://openalex.org/W2083108136","doi":"https://doi.org/10.1016/0097-8493(93)90013-y","mag":"2083108136"},"language":"en","primary_location":{"id":"doi:10.1016/0097-8493(93)90013-y","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-8493(93)90013-y","pdf_url":null,"source":{"id":"https://openalex.org/S94821547","display_name":"Computers & Graphics","issn_l":"0097-8493","issn":["0097-8493","1873-7684"],"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":"Computers & Graphics","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/A5023030353","display_name":"Patrick Grim","orcid":"https://orcid.org/0000-0002-4340-4289"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Patrick Grim","raw_affiliation_strings":["Group for Logic and Formal Semantics, Department of Philosophy, SUNY at Stony Brook, Stony Brook, NY 11794 USA","Group for Logic and Formal Semantics, Department of Philosophy, SUNY at Stony Brook, Stony Brook, NY 11794, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Group for Logic and Formal Semantics, Department of Philosophy, SUNY at Stony Brook, Stony Brook, NY 11794 USA","institution_ids":["https://openalex.org/I59553526"]},{"raw_affiliation_string":"Group for Logic and Formal Semantics, Department of Philosophy, SUNY at Stony Brook, Stony Brook, NY 11794, USA#TAB#","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029438584","display_name":"Gary Mar","orcid":null},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gary Mar","raw_affiliation_strings":["Group for Logic and Formal Semantics, Department of Philosophy, SUNY at Stony Brook, Stony Brook, NY 11794 USA","Group for Logic and Formal Semantics, Department of Philosophy, SUNY at Stony Brook, Stony Brook, NY 11794, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Group for Logic and Formal Semantics, Department of Philosophy, SUNY at Stony Brook, Stony Brook, NY 11794 USA","institution_ids":["https://openalex.org/I59553526"]},{"raw_affiliation_string":"Group for Logic and Formal Semantics, Department of Philosophy, SUNY at Stony Brook, Stony Brook, NY 11794, USA#TAB#","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005332821","display_name":"Matthew Neiger","orcid":null},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew Neiger","raw_affiliation_strings":["Group for Logic and Formal Semantics, Department of Philosophy, SUNY at Stony Brook, Stony Brook, NY 11794 USA","Group for Logic and Formal Semantics, Department of Philosophy, SUNY at Stony Brook, Stony Brook, NY 11794, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Group for Logic and Formal Semantics, Department of Philosophy, SUNY at Stony Brook, Stony Brook, NY 11794 USA","institution_ids":["https://openalex.org/I59553526"]},{"raw_affiliation_string":"Group for Logic and Formal Semantics, Department of Philosophy, SUNY at Stony Brook, Stony Brook, NY 11794, USA#TAB#","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069959231","display_name":"Paul St. Denis","orcid":null},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul St. Denis","raw_affiliation_strings":["Group for Logic and Formal Semantics, Department of Philosophy, SUNY at Stony Brook, Stony Brook, NY 11794 USA","Group for Logic and Formal Semantics, Department of Philosophy, SUNY at Stony Brook, Stony Brook, NY 11794, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Group for Logic and Formal Semantics, Department of Philosophy, SUNY at Stony Brook, Stony Brook, NY 11794 USA","institution_ids":["https://openalex.org/I59553526"]},{"raw_affiliation_string":"Group for Logic and Formal Semantics, Department of Philosophy, SUNY at Stony Brook, Stony Brook, NY 11794, USA#TAB#","institution_ids":["https://openalex.org/I59553526"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I59553526"],"apc_list":{"value":2770,"currency":"USD","value_usd":2770},"apc_paid":null,"fwci":0.5184,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.66808139,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":"17","issue":"5","first_page":"609","last_page":"612"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9883000254631042,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9883000254631042,"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/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.96670001745224,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14394","display_name":"Cognitive Science and Education Research","score":0.9253000020980835,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5511851906776428},{"id":"https://openalex.org/keywords/self-reference","display_name":"Self-reference","score":0.519587516784668},{"id":"https://openalex.org/keywords/sentence","display_name":"Sentence","score":0.5151475667953491},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.49377021193504333},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.49280408024787903},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.44417059421539307},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4056742787361145},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3245278000831604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2865011394023895},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.22794413566589355},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16713568568229675},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16341596841812134},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.16115644574165344}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5511851906776428},{"id":"https://openalex.org/C69975804","wikidata":"https://www.wikidata.org/wiki/Q1129622","display_name":"Self-reference","level":2,"score":0.519587516784668},{"id":"https://openalex.org/C2777530160","wikidata":"https://www.wikidata.org/wiki/Q41796","display_name":"Sentence","level":2,"score":0.5151475667953491},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.49377021193504333},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.49280408024787903},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.44417059421539307},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4056742787361145},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3245278000831604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2865011394023895},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.22794413566589355},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16713568568229675},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16341596841812134},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.16115644574165344},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0097-8493(93)90013-y","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-8493(93)90013-y","pdf_url":null,"source":{"id":"https://openalex.org/S94821547","display_name":"Computers & Graphics","issn_l":"0097-8493","issn":["0097-8493","1873-7684"],"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":"Computers & Graphics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6700000166893005,"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":5,"referenced_works":["https://openalex.org/W77906989","https://openalex.org/W2007998639","https://openalex.org/W2063358047","https://openalex.org/W2122159665","https://openalex.org/W3101039569"],"related_works":["https://openalex.org/W2960434112","https://openalex.org/W3049714198","https://openalex.org/W2036805113","https://openalex.org/W2592279130","https://openalex.org/W2049158118","https://openalex.org/W2123827981","https://openalex.org/W1499880030","https://openalex.org/W4205994410","https://openalex.org/W34461864","https://openalex.org/W4387159935"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}