{"id":"https://openalex.org/W1988045504","doi":"https://doi.org/10.1007/s11225-012-9393-z","title":"Fatal Heyting Algebras and Forcing Persistent Sentences","display_name":"Fatal Heyting Algebras and Forcing Persistent Sentences","publication_year":2012,"publication_date":"2012-02-11","ids":{"openalex":"https://openalex.org/W1988045504","doi":"https://doi.org/10.1007/s11225-012-9393-z","mag":"1988045504"},"language":"en","primary_location":{"id":"doi:10.1007/s11225-012-9393-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11225-012-9393-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11225-012-9393-z.pdf","source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11225-012-9393-z.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071181914","display_name":"Leo Esakia","orcid":null},"institutions":[{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Leo Esakia","raw_affiliation_strings":["Institute for Logic, Language and Computation, Universiteit van Amsterdam, Postbus 94242, 1090 GE, Amsterdam, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Institute for Logic, Language and Computation, Universiteit van Amsterdam, Postbus 94242, 1090 GE, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I887064364"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065186485","display_name":"Benedikt L\u00f6we","orcid":null},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]},{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["DE","NL"],"is_corresponding":false,"raw_author_name":"Benedikt L\u00f6we","raw_affiliation_strings":["Fachbereich Mathematik, Universit\u00e4t Hamburg, Bundesstrasse 55, 20146, Hamburg, Germany","Institute for Logic, Language and Computation, Universiteit van Amsterdam, Postbus 94242, 1090 GE, Amsterdam, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Universit\u00e4t Hamburg, Bundesstrasse 55, 20146, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309"]},{"raw_affiliation_string":"Institute for Logic, Language and Computation, Universiteit van Amsterdam, Postbus 94242, 1090 GE, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I887064364"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5071181914"],"corresponding_institution_ids":["https://openalex.org/I887064364"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":2.6528,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.90144886,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"100","issue":"1-2","first_page":"163","last_page":"173"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9990000128746033,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9965000152587891,"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/heyting-algebra","display_name":"Heyting algebra","score":0.8405066728591919},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.6239545941352844},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5806822776794434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5636228322982788},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.5394756197929382},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.5023372173309326},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.42606621980667114},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42441245913505554},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41744542121887207},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.3268330991268158},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2569698095321655},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.25675028562545776},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.25486740469932556},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.1416216492652893},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12405693531036377},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.0769694447517395}],"concepts":[{"id":"https://openalex.org/C187062830","wikidata":"https://www.wikidata.org/wiki/Q1617044","display_name":"Heyting algebra","level":3,"score":0.8405066728591919},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.6239545941352844},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5806822776794434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5636228322982788},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.5394756197929382},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.5023372173309326},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.42606621980667114},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42441245913505554},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41744542121887207},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.3268330991268158},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2569698095321655},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.25675028562545776},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.25486740469932556},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.1416216492652893},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12405693531036377},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0769694447517395},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s11225-012-9393-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11225-012-9393-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11225-012-9393-z.pdf","source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},{"id":"pmh:oai:dare.uva.nl:openaire_cris_publications/9de66ab1-6e48-4045-955f-c86e9e16e4f7","is_oa":true,"landing_page_url":"https://dare.uva.nl/personal/pure/en/publications/fatal-heyting-algebras-and-forcing-persistent-sentences(9de66ab1-6e48-4045-955f-c86e9e16e4f7).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Esakia, L & L\u00f6we, B 2012, 'Fatal Heyting algebras and forcing persistent sentences', Studia Logica, vol. 100, no. 1-2, pp. 163-173. https://doi.org/10.1007/s11225-012-9393-z","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:dare.uva.nl:publications/9de66ab1-6e48-4045-955f-c86e9e16e4f7","is_oa":true,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/fatal-heyting-algebras-and-forcing-persistent-sentences(9de66ab1-6e48-4045-955f-c86e9e16e4f7).html","pdf_url":"https://pure.uva.nl/ws/files/28210371/Fatal_Heyting_algebras_and_forcing_persistent_sentences.pdf","source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"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":"Esakia, L & L\u00f6we, B 2012, 'Fatal Heyting algebras and forcing persistent sentences', Studia Logica, vol. 100, no. 1-2, pp. 163-173. https://doi.org/10.1007/s11225-012-9393-z","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.224.7400","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.224.7400","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.228.2973","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.228.2973","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.illc.uva.nl/Publications/PP-2011-35.text.pdf","raw_type":"text"},{"id":"pmh:oai:dare.uva.nl:publications/9de66ab1-6e48-4045-955f-c86e9e16e4f7","is_oa":false,"landing_page_url":"http://dare.uva.nl/personal/pure/en/publications/fatal-heyting-algebras-and-forcing-persistent-sentences(9de66ab1-6e48-4045-955f-c86e9e16e4f7).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"doi:10.1007/s11225-012-9393-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11225-012-9393-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11225-012-9393-z.pdf","source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1988045504.pdf","grobid_xml":"https://content.openalex.org/works/W1988045504.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W631645519","https://openalex.org/W1525064220","https://openalex.org/W1941293007","https://openalex.org/W1973539826","https://openalex.org/W2023525230","https://openalex.org/W2069506349","https://openalex.org/W2084684966","https://openalex.org/W2118313805","https://openalex.org/W2149529321","https://openalex.org/W2286396437","https://openalex.org/W2319266333","https://openalex.org/W2527843003","https://openalex.org/W4388311772"],"related_works":["https://openalex.org/W2074934605","https://openalex.org/W2771140321","https://openalex.org/W2028144918","https://openalex.org/W3016746667","https://openalex.org/W1587059467","https://openalex.org/W1972088297","https://openalex.org/W119381390","https://openalex.org/W4287814874","https://openalex.org/W2951163460","https://openalex.org/W2962420748"],"abstract_inverted_index":{"Abstract":[0],"Hamkins":[1],"and":[2,26],"L\u00f6we":[3],"proved":[4],"that":[5],"the":[6,22,30,46,59],"modal":[7,20],"logic":[8,24],"of":[9,35,48,61],"forcing":[10,36],"is":[11,42],"S4.2":[12],".":[13],"In":[14],"this":[15],"paper,":[16],"we":[17,56],"consider":[18],"its":[19],"companion,":[21],"intermediate":[23],"KC":[25],"relate":[27],"it":[28],"to":[29],"fatal":[31,49,62],"Heyting":[32,40,50,63],"algebra":[33,41],"H":[34],"persistent":[37],"sentences.":[38],"This":[39],"equationally":[43],"generic":[44],"for":[45],"class":[47,60],"algebras.":[51,64],"Motivated":[52],"by":[53],"these":[54],"results,":[55],"further":[57],"analyse":[58]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
