{"id":"https://openalex.org/W4382752053","doi":"https://doi.org/10.5216/phi.v28i1.75351","title":"Frege's two notions of \"extension\"","display_name":"Frege's two notions of \"extension\"","publication_year":2023,"publication_date":"2023-06-28","ids":{"openalex":"https://openalex.org/W4382752053","doi":"https://doi.org/10.5216/phi.v28i1.75351"},"language":"en","primary_location":{"id":"doi:10.5216/phi.v28i1.75351","doi":"https://doi.org/10.5216/phi.v28i1.75351","is_oa":true,"landing_page_url":"http://dx.doi.org/10.5216/phi.v28i1.75351","pdf_url":null,"source":{"id":"https://openalex.org/S2737477535","display_name":"Phil\u00f3sophos - Revista de Filosofia","issn_l":"1414-2236","issn":["1414-2236","1982-2928"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310312360","host_organization_name":"Universidade Federal de Goi\u00e1s","host_organization_lineage":["https://openalex.org/P4310312360"],"host_organization_lineage_names":["Universidade Federal de Goi\u00e1s"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Phil\u00f3sophos - Revista de Filosofia","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://dx.doi.org/10.5216/phi.v28i1.75351","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026006583","display_name":"Araceli Velloso","orcid":"https://orcid.org/0000-0002-0294-0229","observed_orcids":["https://orcid.org/0000-0002-0294-0229"]},"institutions":[{"id":"https://openalex.org/I68106152","display_name":"Universidade Federal de Goi\u00e1s","ror":"https://ror.org/0039d5757","country_code":"BR","type":"education","lineage":["https://openalex.org/I68106152"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Araceli Velloso","raw_affiliation_strings":["UFG","Universidade Federal de Goi\u00e1s (UFG), Goi\u00e2nia, Goi\u00e1s, Brasil, ar.velloso@gmail.com","professora na Universidade Federal de Goi\u00e1s (UFG), Goi\u00e2nia, Goi\u00e1s, Brasil"],"raw_orcid":"https://orcid.org/0000-0002-0294-0229","affiliations":[{"raw_affiliation_string":"UFG","institution_ids":["https://openalex.org/I68106152"]},{"raw_affiliation_string":"Universidade Federal de Goi\u00e1s (UFG), Goi\u00e2nia, Goi\u00e1s, Brasil, ar.velloso@gmail.com","institution_ids":["https://openalex.org/I68106152"]},{"raw_affiliation_string":"professora na Universidade Federal de Goi\u00e1s (UFG), Goi\u00e2nia, Goi\u00e1s, Brasil","institution_ids":["https://openalex.org/I68106152"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026006583"],"corresponding_institution_ids":["https://openalex.org/I68106152"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15254447,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9696999788284302,"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"}},"topics":[{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9696999788284302,"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"}},{"id":"https://openalex.org/T13558","display_name":"Logic and Philosophy of Science","score":0.017100000753998756,"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"}},{"id":"https://openalex.org/T10258","display_name":"Philosophy and Theoretical Science","score":0.0024999999441206455,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"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/gottlob-frege","display_name":"Gottlob Frege","score":0.9879999756813049},{"id":"https://openalex.org/keywords/extension","display_name":"extension","score":0.4339999854564667},{"id":"https://openalex.org/keywords/grundgesetze-der-arithmetik","display_name":"Grundgesetze der Arithmetik","score":0.8500000238418579},{"id":"https://openalex.org/keywords/begriffsschrift","display_name":"Begriffsschrift","score":0.6150000095367432},{"id":"https://openalex.org/keywords/foundations-of-arithmetic","display_name":"foundations of arithmetic","score":0.4869999885559082},{"id":"https://openalex.org/keywords/logicism","display_name":"logicism","score":0.5759999752044678},{"id":"https://openalex.org/keywords/history-of-logic","display_name":"history of logic","score":0.621999979019165}],"concepts":[{"id":"https://openalex.org/C2777152325","wikidata":"https://www.wikidata.org/wiki/Q108163","display_name":"Proposition","level":2,"score":0.6806178689002991},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6285265684127808},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.620969831943512},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6008778810501099},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.5799713134765625},{"id":"https://openalex.org/C2780876879","wikidata":"https://www.wikidata.org/wiki/Q3054749","display_name":"Meaning (existential)","level":2,"score":0.5709189772605896},{"id":"https://openalex.org/C26326936","wikidata":"https://www.wikidata.org/wiki/Q1128306","display_name":"Construal level theory","level":2,"score":0.5399795174598694},{"id":"https://openalex.org/C154775046","wikidata":"https://www.wikidata.org/wiki/Q188","display_name":"German","level":2,"score":0.5252853631973267},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4410698711872101},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.3723924160003662},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3478221893310547},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.24548879265785217},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.2139166295528412},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10557711124420166},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.09627413749694824},{"id":"https://openalex.org/C107038049","wikidata":"https://www.wikidata.org/wiki/Q35986","display_name":"Aesthetics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5216/phi.v28i1.75351","doi":"https://doi.org/10.5216/phi.v28i1.75351","is_oa":true,"landing_page_url":"http://dx.doi.org/10.5216/phi.v28i1.75351","pdf_url":null,"source":{"id":"https://openalex.org/S2737477535","display_name":"Phil\u00f3sophos - Revista de Filosofia","issn_l":"1414-2236","issn":["1414-2236","1982-2928"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310312360","host_organization_name":"Universidade Federal de Goi\u00e1s","host_organization_lineage":["https://openalex.org/P4310312360"],"host_organization_lineage_names":["Universidade Federal de Goi\u00e1s"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Phil\u00f3sophos - Revista de Filosofia","raw_type":"journal-article"},{"id":"pmh:oai:ojs.revistas.ufg.br:article/75351","doi":null,"is_oa":true,"landing_page_url":"https://revistas.ufg.br/philosophos/article/view/75351","pdf_url":"https://revistas.ufg.br/philosophos/article/download/75351/39970","source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"instacron:UFG","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.5216/phi.v28i1.75351","doi":"https://doi.org/10.5216/phi.v28i1.75351","is_oa":true,"landing_page_url":"http://dx.doi.org/10.5216/phi.v28i1.75351","pdf_url":null,"source":{"id":"https://openalex.org/S2737477535","display_name":"Phil\u00f3sophos - Revista de Filosofia","issn_l":"1414-2236","issn":["1414-2236","1982-2928"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310312360","host_organization_name":"Universidade Federal de Goi\u00e1s","host_organization_lineage":["https://openalex.org/P4310312360"],"host_organization_lineage_names":["Universidade Federal de Goi\u00e1s"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Phil\u00f3sophos - Revista de Filosofia","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4382752053.pdf","grobid_xml":"https://content.openalex.org/works/W4382752053.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W578399129","https://openalex.org/W623387397","https://openalex.org/W1592248953","https://openalex.org/W2031636584","https://openalex.org/W2072090435","https://openalex.org/W2327915628","https://openalex.org/W2990870890","https://openalex.org/W2990984706","https://openalex.org/W3181234279"],"related_works":["https://openalex.org/W4229913762","https://openalex.org/W2326527969","https://openalex.org/W2504066381","https://openalex.org/W6942168543","https://openalex.org/W133715871","https://openalex.org/W4393208153","https://openalex.org/W2989649216","https://openalex.org/W2329257989","https://openalex.org/W2592889711","https://openalex.org/W7011247976"],"abstract_inverted_index":{"Our":[0],"goal":[1],"is":[2],"to":[3,21,32,66,91,108,140],"answer":[4],"a":[5,53,88,115,152,187],"question":[6],"proposed":[7],"by":[8,71,81,113,147,164],"Richard":[9],"Heck":[10,18,46],"in":[11,43,68,110,149,190],"the":[12,22,77,85,93,103,157,181,194],"paper":[13,63],"\u201cFormal":[14],"Arithmetic":[15],"Before":[16],"Grundgesetze\u201d.":[17],"inquires":[19],"as":[20,186],"reasons":[23],"why":[24],"it":[25],"took":[26],"almost":[27],"eight":[28],"years":[29],"for":[30,155],"Frege":[31,82,139],"honor":[33],"his":[34,38,127,142,150,165,191],"promises":[35],"of":[36,40,87,95,98,118,130,144,159,183,197],"concluding":[37],"project":[39],"grounding":[41],"mathematics":[42],"logic.":[44],"Although":[45],"gave":[47],"some":[48,123],"answers,":[49],"we":[50,74],"think":[51],"that":[52,69,131,175,198],"more":[54],"adequate":[55],"philosophical":[56],"discussion":[57],"can":[58],"still":[59],"be":[60,174],"offered.":[61],"This":[62],"will":[64,173],"try":[65],"fill":[67,109],"gap":[70,112],"presenting":[72],"what":[73],"understand":[75],"was":[76],"central":[78],"problem":[79],"faced":[80],"on":[83,126],"Gl:":[84],"lack":[86],"standard":[89],"criterion":[90,154],"fix":[92],"meaning":[94],"identity":[96,145,161],"propositions":[97,146],"mathematics.":[99],"In":[100],"our":[101,171],"account,":[102],"German":[104],"philosopher":[105],"finally":[106],"decided":[107],"this":[111],"providing":[114],"new":[116,134],"construal":[117],"\u201cextension\u201d,":[119],"one":[120],"which":[121],"included":[122],"important":[124],"refinements":[125],"previous":[128],"account":[129],"notion.":[132],"The":[133],"concept":[135],"thus":[136],"construed":[137],"allowed":[138],"unify":[141],"treatment":[143],"including":[148],"system":[151,192],"universal":[153],"deciding":[156],"truth":[158],"any":[160],"proposition":[162],"supported":[163],"famous":[166],"basic":[167],"law":[168,189],"V.":[169],"So,":[170],"claim":[172],"Frege\u2019s":[176],"resistance":[177],"and":[178],"doubts":[179],"about":[180],"inclusion":[182],"axiom":[184],"V":[185],"logical":[188],"were":[193],"primary":[195],"cause":[196],"delay.":[199]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2023-07-01T00:00:00"}