{"id":"https://openalex.org/W7130324327","doi":"https://doi.org/10.1093/jigpal/jzag005","title":"Notes on type-free axiomatic theories of positive truth","display_name":"Notes on type-free axiomatic theories of positive truth","publication_year":2026,"publication_date":"2026-01-22","ids":{"openalex":"https://openalex.org/W7130324327","doi":"https://doi.org/10.1093/jigpal/jzag005"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzag005","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzag005","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/A5064102914","display_name":"D. Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dawei Liu","raw_affiliation_strings":["School of Philosophy , Hunan Normal University, Changsha, Hunan, 410081, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Philosophy , Hunan Normal University, Changsha, Hunan, 410081, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008776627","display_name":"Wei Xiong","orcid":"https://orcid.org/0000-0002-2532-2503"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Xiong","raw_affiliation_strings":["Institute of Logic and Cognition , Department of Philosophy, Sun Yat-sen University, Guangzhou, Guangdong, 510275, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Logic and Cognition , Department of Philosophy, Sun Yat-sen University, Guangzhou, Guangdong, 510275, China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064102914"],"corresponding_institution_ids":["https://openalex.org/I173759888"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24440194,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10258","display_name":"Philosophy and Theoretical Science","score":0.6743000149726868,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10258","display_name":"Philosophy and Theoretical Science","score":0.6743000149726868,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.14790000021457672,"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/T10778","display_name":"Philosophy and History of Science","score":0.0544000007212162,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.8683000206947327},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.6463000178337097},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.6348000168800354},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.6309000253677368},{"id":"https://openalex.org/keywords/sentence","display_name":"Sentence","score":0.3695000112056732},{"id":"https://openalex.org/keywords/formal-system","display_name":"Formal system","score":0.32659998536109924}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.8683000206947327},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6463000178337097},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.6348000168800354},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.6309000253677368},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5859000086784363},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.41449999809265137},{"id":"https://openalex.org/C2777530160","wikidata":"https://www.wikidata.org/wiki/Q41796","display_name":"Sentence","level":2,"score":0.3695000112056732},{"id":"https://openalex.org/C102315432","wikidata":"https://www.wikidata.org/wiki/Q649732","display_name":"Formal system","level":2,"score":0.32659998536109924},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3215999901294708},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.3165000081062317},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2775000035762787},{"id":"https://openalex.org/C107553210","wikidata":"https://www.wikidata.org/wiki/Q4179467","display_name":"Coherence theory of truth","level":3,"score":0.26829999685287476},{"id":"https://openalex.org/C556429856","wikidata":"https://www.wikidata.org/wiki/Q5164501","display_name":"Constructive set theory","level":5,"score":0.26260000467300415},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.26109999418258667},{"id":"https://openalex.org/C170088968","wikidata":"https://www.wikidata.org/wiki/Q4830547","display_name":"Axiom independence","level":3,"score":0.25949999690055847},{"id":"https://openalex.org/C51460","wikidata":"https://www.wikidata.org/wiki/Q191849","display_name":"Zermelo\u2013Fraenkel set theory","level":5,"score":0.2574999928474426}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/jigpal/jzag005","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzag005","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6772598624229431}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W21697287","https://openalex.org/W46517763","https://openalex.org/W1518410132","https://openalex.org/W1583680296","https://openalex.org/W1587093213","https://openalex.org/W1971496477","https://openalex.org/W1977632997","https://openalex.org/W1988025460","https://openalex.org/W2008326575","https://openalex.org/W2025127850","https://openalex.org/W2029977552","https://openalex.org/W2050608833","https://openalex.org/W2058103780","https://openalex.org/W2058556119","https://openalex.org/W2073281009","https://openalex.org/W2111411333","https://openalex.org/W2114374802","https://openalex.org/W2160341068","https://openalex.org/W2163045088","https://openalex.org/W2167573131","https://openalex.org/W2251843765","https://openalex.org/W2294654421","https://openalex.org/W2315906070","https://openalex.org/W2580822502","https://openalex.org/W2724420897","https://openalex.org/W2914408765","https://openalex.org/W3163394101","https://openalex.org/W4206703491","https://openalex.org/W4239779295","https://openalex.org/W4242623206","https://openalex.org/W4383295028"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"investigates":[3],"type-free":[4],"axiomatic":[5],"theories":[6,74,134],"of":[7,19,32,44,71,91,121,131],"positive":[8,21,72,92,132],"truth.":[9],"We":[10,37,67],"derive":[11],"the":[12,20,33,79,84,107,119,122,128],"TKF":[13],"system":[14,23,35,151],"by":[15,28,76],"strengthening":[16],"specific":[17,55],"axioms":[18,31],"disquotational":[22],"PUTB":[24,46,97,156],"and":[25,47,60,64,102,110,139],"develop":[26],"LKF":[27,59],"weakening":[29],"certain":[30],"Kripke\u2013Feferman":[34],"KF.":[36,158],"establish":[38],"that":[39,144],"LKF\u2014which":[40],"resolves":[41],"some":[42],"limitations":[43],"both":[45,137],"KF\u2014is":[48],"equivalent":[49],"to":[50,98,105],"TKF.":[51],"Furthermore,":[52],"we":[53,142],"provide":[54],"standard":[56],"models":[57],"for":[58,152],"examine":[61],"its":[62,111],"arithmetical":[63],"truth-theoretical":[65],"strength.":[66],"further":[68],"analyze":[69],"variants":[70],"truth":[73,93,133],"constructed":[75],"incorporating":[77],"either":[78,155],"consistency":[80,138],"axiom":[81,86],"(CONS)":[82],"or":[83,157],"completeness":[85],"(COMP),":[87],"identifying":[88],"a":[89,148],"spectrum":[90],"systems":[94],"spanning":[95],"from":[96],"KF+CONS.":[99],"Noteworthily,":[100],"PUTB+CONS":[101],"PUTB+COMP":[103],"suffice":[104],"prove":[106],"liar":[108],"sentence":[109],"negation,":[112],"respectively.":[113],"Our":[114],"findings":[115],"reveal":[116],"that,":[117],"with":[118],"exception":[120],"weakest":[123],"theory":[124],"in":[125],"this":[126],"spectrum,":[127],"internal":[129],"logics":[130],"cannot":[135],"achieve":[136],"completeness.":[140],"Finally,":[141],"argue":[143],"LKF+CONS":[145],"serves":[146],"as":[147],"more":[149],"suitable":[150],"deflationism":[153],"than":[154]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2026-02-19T00:00:00"}
