{"id":"https://openalex.org/W2102073166","doi":"https://doi.org/10.2307/2964208","title":"Bases for first-order theories and subtheories","display_name":"Bases for first-order theories and subtheories","publication_year":1960,"publication_date":"1960-06-01","ids":{"openalex":"https://openalex.org/W2102073166","doi":"https://doi.org/10.2307/2964208","mag":"2102073166"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.2307/2964208","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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5042921938","display_name":"William Craig","orcid":"https://orcid.org/0000-0003-1808-6503"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"William Craig","raw_affiliation_strings":["(The Pennsylvania State University"],"affiliations":[{"raw_affiliation_string":"(The Pennsylvania State University","institution_ids":["https://openalex.org/I130769515"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5042921938"],"corresponding_institution_ids":["https://openalex.org/I130769515"],"apc_list":null,"apc_paid":null,"fwci":4.905,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":22,"citation_normalized_percentile":{"value":0.957307,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":92,"max":93},"biblio":{"volume":"25","issue":"2","first_page":"97","last_page":"142"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10785","display_name":"Economic Theory and Institutions","score":0.9119,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10785","display_name":"Economic Theory and Institutions","score":0.9119,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9021,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/predicate","display_name":"Predicate (mathematical logic)","score":0.80683327}],"concepts":[{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.80683327},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.795017},{"id":"https://openalex.org/C171268870","wikidata":"https://www.wikidata.org/wiki/Q1486676","display_name":"GRASP","level":2,"score":0.79391927},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48866013},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4139213},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.34971404},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.34022975},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33226365},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3252344},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23899776},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.17105454},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.2307/2964208","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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth","score":0.49}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":12,"referenced_works":["https://openalex.org/W1024609359","https://openalex.org/W1483568252","https://openalex.org/W1911287697","https://openalex.org/W1965507139","https://openalex.org/W1978888543","https://openalex.org/W2038294104","https://openalex.org/W2051878948","https://openalex.org/W2057503265","https://openalex.org/W2090190027","https://openalex.org/W2101025460","https://openalex.org/W2601523163","https://openalex.org/W4247625053"],"related_works":["https://openalex.org/W3198799031","https://openalex.org/W3124251996","https://openalex.org/W3005084276","https://openalex.org/W2927058411","https://openalex.org/W2803105815","https://openalex.org/W2753083100","https://openalex.org/W2156879229","https://openalex.org/W2090831035","https://openalex.org/W2081948323","https://openalex.org/W1584952351"],"abstract_inverted_index":{"The":[0],"extent":[1],"to":[2,61,110,117,134],"which":[3,81],"we":[4,29],"can":[5,40],"grasp":[6],"the":[7,63,95,99,107,111,115,123],"content":[8],"of":[9,18,34,53,65,72,77,93,98,125],"a":[10,70,73,105,135],"(non-logical)":[11],"theory,":[12],"expressing":[13],"it":[14],"economically":[15],"by":[16,104],"means":[17],"an":[19],"axiom":[20],"system":[21],"or":[22,36],"basis,":[23],"varies":[24],"greatly.":[25],"In":[26],"this":[27],"paper":[28],"shall":[30],"investigate":[31],"what":[32],"degree":[33],"economy,":[35],"at":[37],"least":[38],"regularity,":[39],"be":[41,62,91,132],"achieved":[42],"for":[43,67],"all":[44],"recursively":[45],"axiomatizable":[46],"first-order":[47],"theories.":[48],"A":[49],"useful":[50],"approach,":[51],"also":[52],"interest":[54],"in":[55,142],"its":[56,118],"own":[57],"right,":[58],"turns":[59],"out":[60],"study":[64],"bases":[66],"subtheories,":[68],"where":[69],"subtheory":[71,116],"given":[74],"theory":[75,108],"consists":[76],"those":[78],"theorems":[79],"from":[80],"certain":[82],"predicate":[83,88,129],"symbols":[84,89,130],"are":[85],"absent.":[86],"These":[87],"might":[90],"thought":[92],"as":[94],"formal":[96],"counterparts":[97],"\u201cpurely":[100],"theoretical\u201d":[101],"terms":[102],"employed":[103],"science,":[106],"corresponding":[109],"science":[112],"itself":[113],"and":[114],"\u201cobservational":[119],"consequences\u201d.":[120],"Roughly":[121],"speaking,":[122],"types":[124],"operations":[126],"involving":[127],"such":[128],"will":[131,144],"reduced":[133],"minimum,":[136],"so":[137],"that":[138],"their":[139],"syntactical":[140],"role":[141],"deductions":[143],"emerge":[145],"more":[146],"clearly.":[147]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2102073166","counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2024-12-08T01:25:11.943287","created_date":"2016-06-24"}