{"id":"https://openalex.org/W2018421420","doi":"https://doi.org/10.1305/ndjfl/1093634404","title":"On a quasi-set theory.","display_name":"On a quasi-set theory.","publication_year":1992,"publication_date":"1992-06-01","ids":{"openalex":"https://openalex.org/W2018421420","doi":"https://doi.org/10.1305/ndjfl/1093634404","mag":"2018421420"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093634404","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093634404","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-33/issue-3/On-a-quasi-set-theory/10.1305/ndjfl/1093634404.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-33/issue-3/On-a-quasi-set-theory/10.1305/ndjfl/1093634404.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037299468","display_name":"D\u00e9cio Krause","orcid":"https://orcid.org/0000-0003-0463-2796"},"institutions":[{"id":"https://openalex.org/I52418104","display_name":"Universidade Federal do Paran\u00e1","ror":"https://ror.org/05syd6y78","country_code":"BR","type":"education","lineage":["https://openalex.org/I52418104"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"D\u00e9cio Krause","raw_affiliation_strings":["Department of Mathematics Federal University of Parana P.O. Box 19081 81531-970 Curitiba, Parana Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Federal University of Parana P.O. Box 19081 81531-970 Curitiba, Parana Brazil","institution_ids":["https://openalex.org/I52418104"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5037299468"],"corresponding_institution_ids":["https://openalex.org/I52418104"],"apc_list":null,"apc_paid":null,"fwci":2.2963,"has_fulltext":true,"cited_by_count":172,"citation_normalized_percentile":{"value":0.8914405,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"33","issue":"3","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":0.9746999740600586,"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":0.9746999740600586,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9721999764442444,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9648000001907349,"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/mathematics","display_name":"Mathematics","score":0.480038046836853},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43581920862197876},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.36184757947921753},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34230804443359375},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3368564248085022},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.15062275528907776},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.07226830720901489}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.480038046836853},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43581920862197876},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.36184757947921753},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34230804443359375},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3368564248085022},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.15062275528907776},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.07226830720901489},{"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:10.1305/ndjfl/1093634404","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093634404","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-33/issue-3/On-a-quasi-set-theory/10.1305/ndjfl/1093634404.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.ndjfl/1093634404","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093634404","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":{"id":"doi:10.1305/ndjfl/1093634404","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093634404","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-33/issue-3/On-a-quasi-set-theory/10.1305/ndjfl/1093634404.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.47999998927116394,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320323339","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2018421420.pdf","grobid_xml":"https://content.openalex.org/works/W2018421420.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1484028102","https://openalex.org/W1497264647","https://openalex.org/W1975387716","https://openalex.org/W2003826698","https://openalex.org/W2018639596","https://openalex.org/W2061638301","https://openalex.org/W2188599595","https://openalex.org/W2798566202","https://openalex.org/W4230183314","https://openalex.org/W4285719527","https://openalex.org/W4298207198","https://openalex.org/W6651252075","https://openalex.org/W6665971141"],"related_works":["https://openalex.org/W2355215981","https://openalex.org/W4230623537","https://openalex.org/W2063488590","https://openalex.org/W3122821614","https://openalex.org/W1990163845","https://openalex.org/W1849288175","https://openalex.org/W2135423517","https://openalex.org/W1587271064","https://openalex.org/W2062003024","https://openalex.org/W2570464606"],"abstract_inverted_index":{"The":[0,24,39,81,93,107],"main":[1],"features":[2],"of":[3,13,19,32,42,47,57,84,99,127,168],"a":[4,14,60,69,97,151,164],"theory":[5,44,160],"that":[6,77,117,136],"enables":[7],"us":[8],"to":[9,28,50,123,172],"deal,":[10],"in":[11,34,59,156],"terms":[12],"set":[15,165],"theory,":[16,166],"with":[17,114,121,141],"collections":[18],"indistinguishable":[20,142],"objects":[21],"are":[22,45,87],"presented.":[23],"fundamental":[25],"idea":[26],"is":[27,96,110,161],"restrict":[29],"the":[30,35,43,54,124],"concept":[31,56],"\"identity\"":[33,118],"underlying":[36,94],"logical":[37],"apparatus.":[38],"basic":[40],"entities":[41],"Urelemente":[46,90],"two":[48],"sorts;":[49],"those":[51],"called":[52,73],"w-atoms,":[53],"usual":[55],"identity,":[58],"precise":[61],"sense,":[62],"does":[63],"not":[64,148],"apply,":[65],"but":[66],"there":[67],"exists":[68],"primitive":[70],"equivalence":[71],"relation":[72],"\"the":[74],"indistinguishability":[75],"relation\"":[76],"holds":[78],"among":[79],"them.":[80],"other":[82,173],"sort":[83],"atoms":[85],"(Matoms)":[86],"treated":[88],"as":[89,163],"stricto":[91],"sensu.":[92],"logic":[95],"kind":[98],"\"nonreflexive":[100],"logic\"":[101],"and":[102,130],"reflects":[103],"formally":[104],"this":[105,157],"situation.":[106],"intuitive":[108],"motivation":[109],"twofold:":[111],"seeking":[112],"agreement":[113],"Schrdinger's":[115],"dictum":[116],"lacks":[119],"sense":[120],"respect":[122],"elementary":[125],"particles":[126],"modern":[128],"physics,":[129],"building":[131],"WeyFs":[132],"\"effective":[133],"aggregates\"":[134],"\"directly\",":[135],"is,":[137],"dealing":[138],"ab":[139],"initio":[140],"objects;":[143],"hence,":[144],"their":[145],"collection":[146],"must":[147],"be":[149],"considered":[150],"\"set\".":[152],"Despite":[153],"these":[154],"motivations,":[155],"paper":[158],"quasi-set":[159],"delineated":[162],"independently":[167],"its":[169],"possible":[170],"applications":[171],"domains.":[174]},"counts_by_year":[{"year":2026,"cited_by_count":19},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}