{"id":"https://openalex.org/W4205448446","doi":"https://doi.org/10.1093/jigpal/jzab035","title":"Logic of informal provability with truth values","display_name":"Logic of informal provability with truth values","publication_year":2021,"publication_date":"2021-12-20","ids":{"openalex":"https://openalex.org/W4205448446","doi":"https://doi.org/10.1093/jigpal/jzab035"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzab035","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzab035","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","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/A5016042560","display_name":"Pawe\u0142 Paw\u0142owski","orcid":"https://orcid.org/0000-0002-4993-6454"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]},{"id":"https://openalex.org/I40413290","display_name":"University of Gda\u0144sk","ror":"https://ror.org/011dv8m48","country_code":"PL","type":"education","lineage":["https://openalex.org/I40413290"]},{"id":"https://openalex.org/I4210107955","display_name":"Czech Academy of Sciences, Institute of Philosophy","ror":"https://ror.org/01hyg6578","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210107955"]}],"countries":["BE","CZ","PL"],"is_corresponding":true,"raw_author_name":"Pawel Pawlowski","raw_affiliation_strings":["Institute of Philosophy, University of Gdansk and CLPS , Ghent University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Philosophy, University of Gdansk and CLPS , Ghent University","institution_ids":["https://openalex.org/I32597200","https://openalex.org/I40413290","https://openalex.org/I4210107955"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036879704","display_name":"Rafa\u0142 Urbaniak","orcid":"https://orcid.org/0000-0002-6321-2866"},"institutions":[{"id":"https://openalex.org/I40413290","display_name":"University of Gda\u0144sk","ror":"https://ror.org/011dv8m48","country_code":"PL","type":"education","lineage":["https://openalex.org/I40413290"]},{"id":"https://openalex.org/I4210107955","display_name":"Czech Academy of Sciences, Institute of Philosophy","ror":"https://ror.org/01hyg6578","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210107955"]}],"countries":["CZ","PL"],"is_corresponding":false,"raw_author_name":"Rafal Urbaniak","raw_affiliation_strings":["Institute of Philosophy , University of Gdansk"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Philosophy , University of Gdansk","institution_ids":["https://openalex.org/I40413290","https://openalex.org/I4210107955"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5016042560"],"corresponding_institution_ids":["https://openalex.org/I32597200","https://openalex.org/I40413290","https://openalex.org/I4210107955"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.3907,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.70903228,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"31","issue":"1","first_page":"172","last_page":"193"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998999834060669,"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":0.9998999834060669,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9990000128746033,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9983999729156494,"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/intuition","display_name":"Intuition","score":0.620450496673584},{"id":"https://openalex.org/keywords/reflection","display_name":"Reflection (computer programming)","score":0.5965805053710938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5683463215827942},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.4907466173171997},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.480866014957428},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.41044700145721436},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33464381098747253},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.2977101504802704},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.285436749458313},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.13413971662521362},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09316891431808472}],"concepts":[{"id":"https://openalex.org/C132010649","wikidata":"https://www.wikidata.org/wiki/Q189222","display_name":"Intuition","level":2,"score":0.620450496673584},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.5965805053710938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5683463215827942},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.4907466173171997},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.480866014957428},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.41044700145721436},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33464381098747253},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.2977101504802704},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.285436749458313},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.13413971662521362},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09316891431808472},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/jigpal/jzab035","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzab035","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","raw_type":"journal-article"},{"id":"pmh:oai:archive.ugent.be:8758391","is_oa":false,"landing_page_url":"https://biblio.ugent.be/publication/8758391","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1368-9894","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W37116735","https://openalex.org/W606001316","https://openalex.org/W992186155","https://openalex.org/W1504565834","https://openalex.org/W1571738120","https://openalex.org/W1806652432","https://openalex.org/W1989844562","https://openalex.org/W1992411930","https://openalex.org/W1995235276","https://openalex.org/W1998439738","https://openalex.org/W2023909168","https://openalex.org/W2041236447","https://openalex.org/W2041630238","https://openalex.org/W2059933820","https://openalex.org/W2077047670","https://openalex.org/W2079871207","https://openalex.org/W2083623540","https://openalex.org/W2089443884","https://openalex.org/W2093157821","https://openalex.org/W2093281783","https://openalex.org/W2093435953","https://openalex.org/W2096113709","https://openalex.org/W2128792511","https://openalex.org/W2148793401","https://openalex.org/W2152348170","https://openalex.org/W2165546563","https://openalex.org/W2312838618","https://openalex.org/W2320543258","https://openalex.org/W2505047206","https://openalex.org/W2546484167","https://openalex.org/W2550374370","https://openalex.org/W2782983618","https://openalex.org/W2784137461","https://openalex.org/W2889265812","https://openalex.org/W2965089044","https://openalex.org/W2997604489","https://openalex.org/W3112586011","https://openalex.org/W3131818615","https://openalex.org/W6618529993","https://openalex.org/W6685292077","https://openalex.org/W6721026889","https://openalex.org/W6729813003","https://openalex.org/W6768935150"],"related_works":["https://openalex.org/W2364252372","https://openalex.org/W4234066492","https://openalex.org/W1998063895","https://openalex.org/W1967044713","https://openalex.org/W2028144918","https://openalex.org/W3016746667","https://openalex.org/W1587059467","https://openalex.org/W119381390","https://openalex.org/W4287814874","https://openalex.org/W2962420748"],"abstract_inverted_index":{"Abstract":[0],"Classical":[1],"logic":[2,52,93],"of":[3,19,54,94],"formal":[4,92],"provability":[5,21,57],"includes":[6],"L\u00f6b\u2019s":[7,28,66],"theorem,":[8],"but":[9],"not":[10],"reflection.":[11],"In":[12],"contrast,":[13],"intuitions":[14],"about":[15],"the":[16,35],"inferential":[17],"behavior":[18],"informal":[20,23,56,95],"(in":[22],"mathematics)":[24],"seem":[25],"to":[26,75],"invalidate":[27],"theorem":[29],"and":[30,48,64,72],"validate":[31,62],"reflection":[32,63],"(after":[33],"all,":[34],"intuition":[36],"is,":[37],"whatever":[38],"mathematicians":[39],"prove":[40],"holds!).":[41],"We":[42,68,80],"employ":[43],"a":[44,50,86,91],"non-deterministic":[45],"many-valued":[46],"semantics":[47],"develop":[49],"modal":[51],"T-BAT":[53,84],"an":[55],"operator,":[58],"which":[59],"indeed":[60],"does":[61],"invalidates":[65],"theorem.":[67],"study":[69],"its":[70,73],"properties":[71],"relation":[74],"known":[76],"provability-related":[77],"paradoxical":[78],"arguments.":[79],"also":[81],"argue":[82],"that":[83],"is":[85],"fairly":[87],"sensible":[88],"candidate":[89],"for":[90],"provability.":[96]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
