{"id":"https://openalex.org/W1981545987","doi":"https://doi.org/10.2307/2274660","title":"Relevance and paraconsistency\u2014a new approach","display_name":"Relevance and paraconsistency\u2014a new approach","publication_year":1990,"publication_date":"1990-06-01","ids":{"openalex":"https://openalex.org/W1981545987","doi":"https://doi.org/10.2307/2274660","mag":"1981545987"},"language":"en","primary_location":{"id":"doi:10.2307/2274660","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2274660","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","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/A5071426595","display_name":"Arnon Avron","orcid":"https://orcid.org/0000-0001-6831-3343"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Arnon Avron","raw_affiliation_strings":["School of Mathematical Sciences, Raymond and Beverly Sackler Faculty Of Exact Sciences, Tel Aviv UniversityRamat-Aviv 69978, Israel","Tel-Aviv  University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Raymond and Beverly Sackler Faculty Of Exact Sciences, Tel Aviv UniversityRamat-Aviv 69978, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel-Aviv  University","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5071426595"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":1.6297,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.85807269,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"55","issue":"2","first_page":"707","last_page":"732"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9908000230789185,"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":0.9908000230789185,"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":0.9786999821662903,"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/T10258","display_name":"Philosophy and Theoretical Science","score":0.9649999737739563,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.5963176488876343},{"id":"https://openalex.org/keywords/relevance","display_name":"Relevance (law)","score":0.5762650966644287},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5591153502464294},{"id":"https://openalex.org/keywords/paraconsistent-logic","display_name":"Paraconsistent logic","score":0.4952980577945709},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4703260660171509},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4579538106918335},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.4257892072200775},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.42177602648735046},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4211535155773163},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3857472538948059},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3361750543117523},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.265760600566864},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2511485815048218},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.12475979328155518}],"concepts":[{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.5963176488876343},{"id":"https://openalex.org/C158154518","wikidata":"https://www.wikidata.org/wiki/Q7310970","display_name":"Relevance (law)","level":2,"score":0.5762650966644287},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5591153502464294},{"id":"https://openalex.org/C16796852","wikidata":"https://www.wikidata.org/wiki/Q426592","display_name":"Paraconsistent logic","level":4,"score":0.4952980577945709},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4703260660171509},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4579538106918335},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.4257892072200775},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.42177602648735046},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4211535155773163},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3857472538948059},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3361750543117523},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.265760600566864},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2511485815048218},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.12475979328155518},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2274660","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2274660","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1183743327","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183743327","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W61865301","https://openalex.org/W1482532876","https://openalex.org/W1554516311","https://openalex.org/W1593617641","https://openalex.org/W1967858132","https://openalex.org/W1990470938","https://openalex.org/W1994112919","https://openalex.org/W2003017965","https://openalex.org/W2092490196","https://openalex.org/W2096482476","https://openalex.org/W2142616542","https://openalex.org/W2160727829","https://openalex.org/W4299812680"],"related_works":["https://openalex.org/W2056040336","https://openalex.org/W2295438979","https://openalex.org/W2383282217","https://openalex.org/W2781122117","https://openalex.org/W2388867275","https://openalex.org/W2354976030","https://openalex.org/W3121877141","https://openalex.org/W1968318401","https://openalex.org/W2349212754","https://openalex.org/W2888838995"],"abstract_inverted_index":{"In":[0,40,242],"this":[1],"work":[2],"we":[3,30,45,99,257],"describe":[4],"a":[5,157,262],"new":[6],"approach":[7],"to":[8,123,164,187],"the":[9,16,41,49,64,140,204,222,232,239,243,249],"notions":[10],"of":[11,18,71,89,91,142,184,189,206,214,219,227,245,261],"relevance":[12],"and":[13,20,28,47,150,235],"paraconsistency.":[14],"Unlike":[15],"works":[17],"Anderson":[19],"Belnap":[21],"or":[22,93,225,247],"da":[23],"Costa":[24],"(see":[25],"[2],":[26],"[8]":[27],"[7])":[29],"shall":[31],"mainly":[32],"be":[33,78,118],"guided":[34],"in":[35,63,80,103,125,171,202,248],"it":[36,194],"by":[37],"semantical":[38],"intuitions.":[39,55],"first":[42],"two":[43,135,160],"sections":[44],"introduce":[46],"investigate":[48],"algebraic":[50],"structures":[51],"that":[52,88,183],"reflect":[53],"those":[54],"The":[56,191,216],"corresponding":[57],"formal":[58],"systems":[59],"are":[60,134,162,170],"briefly":[61],"described":[62],"third":[65],"section":[66],"(a":[67],"more":[68,127],"detailed":[69],"treatment":[70],"these":[72],"systems,":[73],"including":[74],"full":[75],"proofs,":[76],"will":[77],"given":[79,158],"another":[81],"paper).":[82],"Our":[83],"basic":[84,136,175],"intuitive":[85],"idea":[86,192],"is":[87,101,131,145,148,182,195],"\u201cdomains":[90],"discourse\u201d":[92],"\u201crelevance":[94],"domains\u201d.":[95],"Classical":[96],"logic,":[97],"so":[98],"think,":[100],"valid":[102],"as":[104,106],"much":[105],"sentences":[107,161],"get":[108],"values":[109,169],"inside":[110],"one":[111,129],"domain;":[112],"limitations":[113],"on":[114],"its":[115],"use":[116],"can":[117,258],"imposed":[119],"only":[120],"with":[121],"respect":[122],"inferences":[124],"which":[126],"than":[128],"domain":[130],"involved.":[132],"There":[133],"binary":[137],"relations":[138],"over":[139],"collection":[141],"domains.":[143,173],"One":[144],"relevance.":[146],"It":[147],"reflexive":[149],"symmetric":[151],"(but":[152],"not":[153,196],"necessarily":[154],"transitive).":[155],"Under":[156],"interpretation":[159],"relevant":[163,172],"each":[165],"other":[166],"when":[167],"their":[168],"Another":[174],"relation":[176],"between":[177],"domains,":[178],"no":[179],"less":[180],"important,":[181],"grading":[185],"according":[186],"\u201cdegrees":[188],"reality\u201d.":[190,215],"behind":[193],"new.":[197],"Gentzen,":[198],"for":[199,254],"example,":[200],"divided":[201],"[9]":[203],"world":[205],"mathematics":[207],"into":[208],"three":[209,212],"grades,":[210],"representing":[211],"\u201clevels":[213],"elementary":[217],"theory":[218,230,244],"numbers":[220],"has":[221,231],"highest":[223],"degree":[224,234],"level":[226],"reality;":[228],"set":[229,255],"smallest":[233],"mathematical":[236],"analysis":[237],"occupies":[238],"intermediate":[240],"level.":[241],"types,":[246],"accumulative":[250],"von":[251],"Neumann":[252],"universe":[253],"theory,":[256],"find":[259],"indication":[260],"richer":[263],"hierarchy.":[264]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-30T17:31:21.811387","created_date":"2025-10-10T00:00:00"}