{"id":"https://openalex.org/W2113555999","doi":"https://doi.org/10.2307/2963776","title":"Extendible sentential calculus","display_name":"Extendible sentential calculus","publication_year":1959,"publication_date":"1959-09-01","ids":{"openalex":"https://openalex.org/W2113555999","doi":"https://doi.org/10.2307/2963776","mag":"2113555999"},"language":"en","primary_location":{"id":"doi:10.2307/2963776","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2963776","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/A5066620769","display_name":"Henry Hi\u017c","orcid":null},"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":"H. Hiz","raw_affiliation_strings":["Pennsylvania State University and University of Pennsylvania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pennsylvania State University and University of Pennsylvania","institution_ids":["https://openalex.org/I130769515"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5066620769"],"corresponding_institution_ids":["https://openalex.org/I130769515"],"apc_list":null,"apc_paid":null,"fwci":4.889,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.95132551,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"24","issue":"3","first_page":"193","last_page":"202"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.982200026512146,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.982200026512146,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9610000252723694,"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":0.91839998960495,"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/mathematics","display_name":"Mathematics","score":0.6803761124610901},{"id":"https://openalex.org/keywords/adjunction","display_name":"Adjunction","score":0.6705052256584167},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5461860299110413},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40440523624420166},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3058518171310425}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6803761124610901},{"id":"https://openalex.org/C2780580338","wikidata":"https://www.wikidata.org/wiki/Q577835","display_name":"Adjunction","level":2,"score":0.6705052256584167},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5461860299110413},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40440523624420166},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3058518171310425},{"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:10.2307/2963776","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2963776","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/1183733636","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183733636","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":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.49000000953674316}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W960070794","https://openalex.org/W1773594124","https://openalex.org/W1990620456","https://openalex.org/W2113555999","https://openalex.org/W2320524668"],"related_works":["https://openalex.org/W4287081207","https://openalex.org/W4214866974","https://openalex.org/W3177859674","https://openalex.org/W3196733042","https://openalex.org/W4293366716","https://openalex.org/W3091315172","https://openalex.org/W3154927745","https://openalex.org/W4386908134","https://openalex.org/W2099496552","https://openalex.org/W3097151221"],"abstract_inverted_index":{"The":[0],"system":[1,48,69,81,113,118,138],"of":[2,12,30,95,132],"sentential":[3,55],"calculus":[4],"presented":[5],"below":[6],"has":[7],"peculiarities":[8],"which":[9,109],"may":[10,70],"be":[11,71],"some":[13],"interest.":[14],"It":[15],"is":[16,26,33,38,104,124],"complete":[17,36],"in":[18,83,87],"the":[19,47,68,80,84,112,117,136],"sense":[20],"that":[21,103,130],"every":[22,63,99],"classical":[23],"(two-valued)":[24],"tautology":[25],"provable.":[27],"In":[28],"spite":[29],"this":[31,96],"it":[32,39],"not":[34,105,115],"Post":[35,85,119],"(nor":[37],"absolutely":[40],"complete),":[41],"i.e.,":[42],"one":[43],"can":[44],"add":[45],"to":[46,111,135],"an":[49,75],"unprovable":[50,76],"formula":[51,64,77,100,126],"without":[52,61,78],"proving":[53],"a":[54,58,65,106,125],"variable":[56],"as":[57],"theorem":[59,107],"(or":[60,86,120],"making":[62,79],"theorem).":[66],"Thus":[67],"extended":[72],"by":[73],"adjoining":[74],"inconsistent":[82,122],"absolute)":[88],"sense.":[89],"There":[90],"are":[91],"many":[92],"distinct":[93],"extensions":[94],"kind.":[97],"For":[98],"\u03b1":[101,127,133,140],"1":[102,141],"and":[108],"adjoined":[110],"does":[114],"make":[116],"absolutely)":[121],"there":[123],"2":[128,134],"such":[129],"adjunction":[131],"original":[137],"leaves":[139],"unprovable.":[142]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}