{"id":"https://openalex.org/W1977512017","doi":"https://doi.org/10.2307/2266611","title":"A note on the theory of quantification","display_name":"A note on the theory of quantification","publication_year":1952,"publication_date":"1952-12-01","ids":{"openalex":"https://openalex.org/W1977512017","doi":"https://doi.org/10.2307/2266611","mag":"1977512017"},"language":"en","primary_location":{"id":"doi:10.2307/2266611","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2266611","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/A5055496902","display_name":"Moh Shaw-Kwei","orcid":null},"institutions":[{"id":"https://openalex.org/I111483173","display_name":"King University","ror":"https://ror.org/01evb6z23","country_code":"US","type":"education","lineage":["https://openalex.org/I111483173"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Moh Shaw-Kwei","raw_affiliation_strings":["Nanking University, Nanking, China","Nanking University"],"affiliations":[{"raw_affiliation_string":"Nanking University, Nanking, China","institution_ids":[]},{"raw_affiliation_string":"Nanking University","institution_ids":["https://openalex.org/I111483173"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5055496902"],"corresponding_institution_ids":["https://openalex.org/I111483173"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.03741403,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"17","issue":"4","first_page":"243","last_page":"244"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9645000100135803,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9645000100135803,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9258000254631042,"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":0.9207000136375427,"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/modus-ponens","display_name":"Modus ponens","score":0.9692620635032654},{"id":"https://openalex.org/keywords/quine","display_name":"Quine","score":0.7855441570281982},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.7477335929870605},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5746099352836609},{"id":"https://openalex.org/keywords/schema","display_name":"Schema (genetic algorithms)","score":0.5684199929237366},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3470682203769684},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33226197957992554},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.3190615177154541},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.20600396394729614},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.1297042965888977},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"Information retrieval","score":0.07528692483901978}],"concepts":[{"id":"https://openalex.org/C193885149","wikidata":"https://www.wikidata.org/wiki/Q655742","display_name":"Modus ponens","level":3,"score":0.9692620635032654},{"id":"https://openalex.org/C9270016","wikidata":"https://www.wikidata.org/wiki/Q1047886","display_name":"Quine","level":2,"score":0.7855441570281982},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.7477335929870605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5746099352836609},{"id":"https://openalex.org/C52146309","wikidata":"https://www.wikidata.org/wiki/Q7431116","display_name":"Schema (genetic algorithms)","level":2,"score":0.5684199929237366},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3470682203769684},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33226197957992554},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.3190615177154541},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.20600396394729614},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.1297042965888977},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.07528692483901978},{"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"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:10.2307/2266611","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2266611","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/1183731480","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183731480","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W1968619110"],"related_works":["https://openalex.org/W2029563506","https://openalex.org/W1588067599","https://openalex.org/W2611198522","https://openalex.org/W2389239788","https://openalex.org/W4246940373","https://openalex.org/W2615257120","https://openalex.org/W2288267523","https://openalex.org/W2166691384","https://openalex.org/W2056158647","https://openalex.org/W2786008341"],"abstract_inverted_index":{"In":[0],"the":[1,4,15,41,45,51,91,108,128,139,145,153,159,170,180,204,210,214,218,223],"paper":[2,120],"On":[3],"logic":[5],"of":[6,17,67,93,133,151,213],"quantification":[7,18],"Prof.":[8],"W.":[9],"V.":[10],"Quine":[11],"showed":[12],"that":[13,38,110,124],"for":[14],"theory":[16,43,47,130],"we":[19,48,84,125,168,187],"have":[20,85],"a":[21,29,33,59,74,86,94,135,191,199],"mechanical":[22,87,136,192],"process":[23,88,137,193],"to":[24,39,89,122],"determine":[25,90,189],"whether":[26,194],"or":[27,69,147,195],"not":[28,196],"monadic":[30,46,95,166,206],"expression":[31,96,164,211,219,224],"is":[32,61,80,112,121,198,212],"valid":[34,75,200],"logical":[35],"formula,":[36],"and":[37,63,115,138,178,220],"deduce":[40,127],"polyadic":[42,129],"from":[44],"need":[49],"only":[50,134,152],"generalized":[52],"modus":[53,141,155],"ponens":[54,142,156],",":[55,157],"which":[56],"reads:":[57],"If":[58],"conditional":[60],"valid,":[62,81],"its":[64,78],"antecedent":[65],"consists":[66],"zero":[68],"more":[70],"quantifiers":[71],"followed":[72],"by":[73,100,131,149,190,202],"schema,":[76,146,160],"then":[77,185],"consequent":[79],"i.e.:":[82],"That":[83],"validity":[92,216],"was":[97],"pointed":[98],"out":[99],"L\u00f6wenheim":[101],"long":[102],"ago;":[103],"Quine's":[104],"method,":[105],"however,":[106],"has":[107],"merit":[109],"it":[111,197],"very":[113],"simple":[114],"hence":[116,221],"practical.":[117],"The":[118],"present":[119],"show":[123],"may":[126,188],"means":[132,150],"ordinary":[140],"alone,":[143],"i.e.,":[144,158],"even":[148],"weakened":[154],"For,":[161],"if":[162],"an":[163],"becomes":[165],"when":[167],"omit":[169],"initial":[171],"all-quantifiers":[172],"(i.e.,":[173],"those":[174],"preceding":[175],"every":[176],"existence-quantifier)":[177],"regard":[179],"corresponding":[181],"variables":[182],"as":[183,217,222],"constants,":[184],"evidently":[186],"formula":[201],"examining":[203],"resulting":[205],"expression.":[207],"For":[208],"example,":[209],"same":[215]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
