{"id":"https://openalex.org/W2614458588","doi":"https://doi.org/10.1007/s11225-017-9727-y","title":"Provably True Sentences Across Axiomatizations of Kripke\u2019s Theory of Truth","display_name":"Provably True Sentences Across Axiomatizations of Kripke\u2019s Theory of Truth","publication_year":2017,"publication_date":"2017-05-15","ids":{"openalex":"https://openalex.org/W2614458588","doi":"https://doi.org/10.1007/s11225-017-9727-y","mag":"2614458588"},"language":"en","primary_location":{"id":"doi:10.1007/s11225-017-9727-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11225-017-9727-y","pdf_url":null,"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":null,"license_id":null,"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":"gold","oa_url":"https://kclpure.kcl.ac.uk/ws/files/113916320/Provably_True_Sentences_AAM.pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027062828","display_name":"Carlo Nicolai","orcid":"https://orcid.org/0009-0003-1027-5294"},"institutions":[{"id":"https://openalex.org/I292141241","display_name":"Munich School of Philosophy","ror":"https://ror.org/02kqy4228","country_code":"DE","type":"education","lineage":["https://openalex.org/I292141241"]},{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Carlo Nicolai","raw_affiliation_strings":["Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Fakult\u00e4t f\u00fcr Philosophie, Wissenschaftstheorie und Religionswissenschaft Munich Center for Mathematical Philosophy, Geschwister-Scholl Platz 1, 80539, M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Fakult\u00e4t f\u00fcr Philosophie, Wissenschaftstheorie und Religionswissenschaft Munich Center for Mathematical Philosophy, Geschwister-Scholl Platz 1, 80539, M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I292141241","https://openalex.org/I8204097"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027062828"],"corresponding_institution_ids":["https://openalex.org/I292141241","https://openalex.org/I8204097"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":1.4535,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.8649322,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"106","issue":"1","first_page":"101","last_page":"130"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9965000152587891,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9904000163078308,"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/axiom","display_name":"Axiom","score":0.7165654301643372},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.557908833026886},{"id":"https://openalex.org/keywords/predicate","display_name":"Predicate (mathematical logic)","score":0.5077208280563354},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.443729430437088},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.4358136057853699},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.4314798414707184},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3966854214668274},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36635613441467285},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30398476123809814},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.29765892028808594},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.2482832968235016}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7165654301643372},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.557908833026886},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.5077208280563354},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.443729430437088},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.4358136057853699},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.4314798414707184},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3966854214668274},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36635613441467285},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30398476123809814},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.29765892028808594},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.2482832968235016},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11225-017-9727-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11225-017-9727-y","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},{"id":"pmh:oai:kclpure.kcl.ac.uk:publications/bbc29cb3-504e-4cd0-82d4-db0bbd9dae3a","is_oa":true,"landing_page_url":"https://kclpure.kcl.ac.uk/portal/en/publications/bbc29cb3-504e-4cd0-82d4-db0bbd9dae3a","pdf_url":"https://kclpure.kcl.ac.uk/ws/files/113916320/Provably_True_Sentences_AAM.pdf","source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Nicolai , C 2018 , ' Provably True Sentences Across Axiomatizations of Kripke\u2019s Theory of Truth ' , Studia Logica , vol. 106 , no. 1 , pp. 101-130 . https://doi.org/10.1007/s11225-017-9727-y","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:kclpure.kcl.ac.uk:publications/bbc29cb3-504e-4cd0-82d4-db0bbd9dae3a","is_oa":true,"landing_page_url":"https://kclpure.kcl.ac.uk/portal/en/publications/bbc29cb3-504e-4cd0-82d4-db0bbd9dae3a","pdf_url":"https://kclpure.kcl.ac.uk/ws/files/113916320/Provably_True_Sentences_AAM.pdf","source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Nicolai , C 2018 , ' Provably True Sentences Across Axiomatizations of Kripke\u2019s Theory of Truth ' , Studia Logica , vol. 106 , no. 1 , pp. 101-130 . https://doi.org/10.1007/s11225-017-9727-y","raw_type":"article"},"sustainable_development_goals":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.6200000047683716}],"awards":[{"id":"https://openalex.org/G8979028160","display_name":null,"funder_award_id":"658285","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2614458588.pdf","grobid_xml":"https://content.openalex.org/works/W2614458588.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W46517763","https://openalex.org/W601500718","https://openalex.org/W1487409515","https://openalex.org/W1587093213","https://openalex.org/W1793763201","https://openalex.org/W2006111919","https://openalex.org/W2025127850","https://openalex.org/W2026668772","https://openalex.org/W2029977552","https://openalex.org/W2057420885","https://openalex.org/W2060878518","https://openalex.org/W2081002360","https://openalex.org/W2089266758","https://openalex.org/W2114374802","https://openalex.org/W2251843765","https://openalex.org/W2335350341","https://openalex.org/W2592491023","https://openalex.org/W2969873114","https://openalex.org/W3039529476","https://openalex.org/W4230100649","https://openalex.org/W4242999300","https://openalex.org/W4243276130"],"related_works":["https://openalex.org/W2891688494","https://openalex.org/W1488351281","https://openalex.org/W2165614850","https://openalex.org/W4388311650","https://openalex.org/W2023557900","https://openalex.org/W1974056099","https://openalex.org/W4245343541","https://openalex.org/W2386077341","https://openalex.org/W2096191306","https://openalex.org/W4230905857"],"abstract_inverted_index":{"We":[0,87],"study":[1],"the":[2,57,75,78,108,111,131],"relationships":[3],"between":[4],"two":[5],"clusters":[6],"of":[7,9,77,130,141,144],"axiomatizations":[8],"Kripke\u2019s":[10,82],"fixed-point":[11,55],"models":[12],"for":[13],"languages":[14],"containing":[15],"a":[16,104,116,126],"self-applicable":[17,145],"truth":[18],"predicate.":[19],"The":[20],"first":[21,64],"cluster":[22],"is":[23,84,103],"represented":[24],"by":[25,38,59,66,120,134],"what":[26],"we":[27],"will":[28],"call":[29],"\u2018":[30,60],"$$\\fancyscript{PKF}$$":[31],"-like\u2019":[32,62],"theories,":[33],"originating":[34],"in":[35,54,80,94,107],"recent":[36],"work":[37],"Halbach":[39,121],"and":[40,44,122,124],"Horsten,":[41],"whose":[42],"axioms":[43],"rules":[45],"(in":[46],"Basic":[47],"De":[48],"Morgan":[49],"Logic)":[50],"are":[51],"all":[52],"valid":[53],"models;":[56],"second":[58],"$$\\fancyscript{KF}$$":[61],"theories":[63,143],"introduced":[65],"Solomon":[67],"Feferman,":[68],"that":[69,89],"lose":[70],"this":[71],"property":[72],"but":[73],"reflect":[74],"classicality":[76],"metatheory":[79],"which":[81],"construction":[83],"carried":[85],"out.":[86],"show":[88],"to":[90,97],"any":[91],"natural":[92,98],"system":[93,106],"one":[95],"cluster\u2014corresponding":[96],"variations":[99],"on":[100],"induction":[101],"schemata\u2014there":[102],"corresponding":[105],"other":[109],"proving":[110],"same":[112],"sentences":[113],"true,":[114],"addressing":[115],"problem":[117],"left":[118],"open":[119],"Horsten":[123],"accomplishing":[125],"suitably":[127],"modified":[128],"version":[129],"project":[132],"sketched":[133],"Reinhardt":[135],"aiming":[136],"at":[137],"an":[138],"instrumental":[139],"reading":[140],"classical":[142],"truth.":[146]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
