{"id":"https://openalex.org/W3095618167","doi":"https://doi.org/10.1093/jigpal/jzaa051","title":"\u2018Sometime a paradox\u2019, now proof: Yablo is not first order","display_name":"\u2018Sometime a paradox\u2019, now proof: Yablo is not first order","publication_year":2020,"publication_date":"2020-08-26","ids":{"openalex":"https://openalex.org/W3095618167","doi":"https://doi.org/10.1093/jigpal/jzaa051","mag":"3095618167"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzaa051","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzaa051","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1908.01496","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028651659","display_name":"Saeed Salehi","orcid":"https://orcid.org/0000-0001-6961-5749"},"institutions":[{"id":"https://openalex.org/I41832843","display_name":"University of Tabriz","ror":"https://ror.org/01papkj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I41832843"]},{"id":"https://openalex.org/I4210146419","display_name":"Institute for Research in Fundamental Sciences","ror":"https://ror.org/04xreqs31","country_code":"IR","type":"facility","lineage":["https://openalex.org/I4210146419"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Saeed Salehi","raw_affiliation_strings":["Research Institute for Fundamental Sciences, University of Tabriz, PO Box 51666-16471, Tabriz, Iran; and School of Mathematics, Institute for Research in Fundamental Sciences, PO Box 19395-5746, Tehran, Iran","Research Institute for Fundamental Sciences, University of Tabriz, PO Box 51666-16471, Tabriz, Iran"],"affiliations":[{"raw_affiliation_string":"Research Institute for Fundamental Sciences, University of Tabriz, PO Box 51666-16471, Tabriz, Iran; and School of Mathematics, Institute for Research in Fundamental Sciences, PO Box 19395-5746, Tehran, Iran","institution_ids":["https://openalex.org/I4210146419","https://openalex.org/I41832843"]},{"raw_affiliation_string":"Research Institute for Fundamental Sciences, University of Tabriz, PO Box 51666-16471, Tabriz, Iran","institution_ids":["https://openalex.org/I41832843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028651659"],"corresponding_institution_ids":["https://openalex.org/I41832843","https://openalex.org/I4210146419"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16723104,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"1","first_page":"71","last_page":"77"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10258","display_name":"Philosophy and Theoretical Science","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9932000041007996,"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":0.9850000143051147,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tautology","display_name":"Tautology (logic)","score":0.8093574047088623},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7895249724388123},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.5728030204772949},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5244776606559753},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46802765130996704},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.4450932741165161},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.36823177337646484},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16763940453529358},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.13983145356178284}],"concepts":[{"id":"https://openalex.org/C166374712","wikidata":"https://www.wikidata.org/wiki/Q209555","display_name":"Tautology (logic)","level":5,"score":0.8093574047088623},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7895249724388123},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.5728030204772949},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5244776606559753},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46802765130996704},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.4450932741165161},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.36823177337646484},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16763940453529358},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.13983145356178284},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1093/jigpal/jzaa051","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzaa051","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"},{"id":"pmh:oai:arXiv.org:1908.01496","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1908.01496","pdf_url":"https://arxiv.org/pdf/1908.01496","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"raw_type":"text"},{"id":"pmh:oai:philarchive.org/rec/SALSAP-2","is_oa":true,"landing_page_url":"https://philarchive.org/rec/SALSAP-2","pdf_url":"https://philpapers.org/archive/SALSAP-2.pdf","source":{"id":"https://openalex.org/S4306402130","display_name":"PhilPapers (PhilPapers Foundation)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:philpapers.org/rec/SALSAP-2","is_oa":false,"landing_page_url":"https://philpapers.org/rec/SALSAP-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306402131","display_name":"PhilPapers (PhilPapers Foundation)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1908.01496","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1908.01496","pdf_url":"https://arxiv.org/pdf/1908.01496","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","score":0.4099999964237213,"display_name":"Decent work and economic growth"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320323645","display_name":"Institute for Research in Fundamental Sciences","ror":"https://ror.org/04xreqs31"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W87519738","https://openalex.org/W643140880","https://openalex.org/W1966610257","https://openalex.org/W2026032475","https://openalex.org/W2037274661","https://openalex.org/W2062097337","https://openalex.org/W2068886974","https://openalex.org/W2137317612","https://openalex.org/W2140553559","https://openalex.org/W2559820623","https://openalex.org/W2618313905","https://openalex.org/W4229652763","https://openalex.org/W4237353415","https://openalex.org/W4242503634","https://openalex.org/W4253505171","https://openalex.org/W4285719527","https://openalex.org/W4288252428","https://openalex.org/W4301633302","https://openalex.org/W6632558346","https://openalex.org/W6704256004","https://openalex.org/W6767536109"],"related_works":["https://openalex.org/W3217765976","https://openalex.org/W1500659951","https://openalex.org/W2611984052","https://openalex.org/W3186810523","https://openalex.org/W1568505184","https://openalex.org/W1490847896","https://openalex.org/W2804386508","https://openalex.org/W644998418","https://openalex.org/W2499354155","https://openalex.org/W2282238860"],"abstract_inverted_index":{"Abstract":[0],"Interesting":[1],"as":[2,85],"they":[3],"are":[4],"by":[5],"themselves":[6],"in":[7,38,54,65,77,90,126,130],"philosophy":[8],"and":[9,22,111],"mathematics,":[10],"paradoxes":[11],"can":[12,51],"be":[13,52],"made":[14],"even":[15],"more":[16],"fascinating":[17],"when":[18],"turned":[19],"into":[20],"proofs":[21,55],"theorems.":[23],"For":[24],"example,":[25],"Russell\u2019s":[26],"paradox,":[27],"which":[28],"overthrew":[29],"Frege\u2019s":[30],"logical":[31],"edifice,":[32],"is":[33,123,128],"now":[34],"a":[35,117],"classical":[36,67],"theorem":[37,71],"set":[39,46],"theory,":[40],"to":[41],"the":[42,66,73,107,131],"effect":[43],"that":[44,116],"no":[45],"contains":[47],"all":[48],"sets.":[49],"Paradoxes":[50],"used":[53,64],"of":[56,69,75,93,109,119,133],"some":[57],"other":[58],"theorems\u2014thus":[59],"Liar\u2019s":[60],"paradox":[61,82,105,121],"has":[62],"been":[63],"proof":[68,92],"Tarski\u2019s":[70],"on":[72],"undefinability":[74],"truth":[76],"sufficiently":[78],"rich":[79],"languages.":[80],"This":[81],"(as":[83],"well":[84],"Richard\u2019s":[86],"paradox)":[87],"appears":[88],"implicitly":[89],"G\u00f6del\u2019s":[91],"his":[94],"celebrated":[95],"first":[96],"incompleteness":[97],"theorem.":[98],"In":[99],"this":[100],"paper,":[101],"we":[102],"study":[103],"Yablo\u2019s":[104,120],"from":[106],"viewpoint":[108],"first-":[110],"second-order":[112],"logics.":[113],"We":[114],"prove":[115],"formalization":[118],"(which":[122],"second":[124],"order":[125],"nature)":[127],"non-first-orderizable":[129],"sense":[132],"George":[134],"Boolos":[135],"(1984).":[136]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2020-11-09T00:00:00"}
