{"id":"https://openalex.org/W1983147793","doi":"https://doi.org/10.1305/ndjfl/1093956969","title":"The truncation of truth-functional calculation.","display_name":"The truncation of truth-functional calculation.","publication_year":1961,"publication_date":"1961-01-01","ids":{"openalex":"https://openalex.org/W1983147793","doi":"https://doi.org/10.1305/ndjfl/1093956969","mag":"1983147793"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093956969","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093956969","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-2/issue-4/The-truncation-of-truth-functional-calculation/10.1305/ndjfl/1093956969.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-2/issue-4/The-truncation-of-truth-functional-calculation/10.1305/ndjfl/1093956969.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067941988","display_name":"Desmond Paul Henry","orcid":"https://orcid.org/0000-0002-4211-2647"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Desmond Paul Henry","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5067941988"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04329461,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10215","display_name":"Semantic Web and Ontologies","score":0.41929998993873596,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.41929998993873596,"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/T11710","display_name":"Biomedical Text Mining and Ontologies","score":0.3614000082015991,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.7274169921875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48298636078834534},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3788308799266815},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3561575412750244},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.32534176111221313},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1600898802280426},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.10839793086051941},{"id":"https://openalex.org/keywords/orthodontics","display_name":"Orthodontics","score":0.05824705958366394}],"concepts":[{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.7274169921875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48298636078834534},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3788308799266815},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3561575412750244},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.32534176111221313},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1600898802280426},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.10839793086051941},{"id":"https://openalex.org/C29694066","wikidata":"https://www.wikidata.org/wiki/Q118301","display_name":"Orthodontics","level":1,"score":0.05824705958366394}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1305/ndjfl/1093956969","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093956969","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-2/issue-4/The-truncation-of-truth-functional-calculation/10.1305/ndjfl/1093956969.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.ndjfl/1093956969","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093956969","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":{"id":"doi:10.1305/ndjfl/1093956969","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093956969","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-2/issue-4/The-truncation-of-truth-functional-calculation/10.1305/ndjfl/1093956969.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4699999988079071,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1983147793.pdf","grobid_xml":"https://content.openalex.org/works/W1983147793.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644"],"abstract_inverted_index":{"The":[0,83,303],"precise":[1],"determination":[2,310],"of":[3,6,13,24,52,65,88,90,101,156,159,166,179,207,213,221,224,240,255,280,290,305,311,325],"those":[4,167],"combinations":[5,28,239],"truth-values":[7,89,241,281],"which":[8,37],"verify":[9],"a":[10,74,208,222,229,262],"sentence":[11],"()":[12],"the":[14,20,39,47,66,78,99,103,147,151,157,163,180,184,210,238,253,265,274,278,288,308],"two-value":[15,67],"propositional":[16,68,148],"calculus":[17,69],"normally":[18],"requires":[19],"exhaustive":[21],"serial":[22],"consideration":[23],"2":[25,84,102,107,225,246,276,284],"n":[26,31,85,91,108,122,226,247,259,285],"such":[27,43,214],"when":[29],"involves":[30],"variables.":[32],"Hereunder":[33],"are":[34,146],"enunciated":[35],"principles":[36],"obviate":[38],"invariable":[40],"necessity":[41],"for":[42,77,258,277,297,307],"consideration,":[44],"without":[45],"at":[46],"same":[48],"time":[49],"sacrificing":[50],"exactitude":[51],"calculation.":[53],"PART":[54],"I.":[55],"Theses":[56],"on":[57],"Abbreviational":[58],"Arrays":[59],"2.1":[60],"In":[61,205],"this":[62],"Part":[63],"theses":[64],"will":[70],"be":[71,94,217],"expressed":[72],"in":[73,80,162,183,252,264,287],"notation":[75],"designed":[76],"problem":[79],"hand.":[81],"2.2":[82],"possible":[86],"combination":[87,202],"variables":[92,149],"may":[93,216],"generated":[95],"by":[96,219,243,283],"reducing":[97],"to":[98,106,154,194,235,237,245,317],"scale":[100,254,289],"integers":[104],"0":[105,244],"-2,":[109],"and":[110,128,134,137,178,196,295,300],"adding":[111],"O's":[112],"leftwards":[113],"where":[114],"necessary":[115],"so":[116,197],"that":[117,126,138,200,250,272],"each":[118,231],"resulting":[119],"number":[120],"has":[121,273],"digits:":[123],"then,":[124],"assuming":[125],"*V":[127],"\"0\"":[129],"represent":[130],"th":[131],"truth-constants":[132],"\"true*":[133],"\"false*":[135],"respectively,":[136],"*p":[139],"w":[140,268],",":[141],"\"q\"":[142],"etc.,":[143],"alphabetically":[144],"ordered,":[145],"used,":[150],"successive":[152,211],"application":[153],"p":[155],"series":[158,181],"values":[160],"given":[161,182,209,242,282],"unit":[164],"places":[165],"equivalents":[168],"(i.e.":[169,187],"0,":[170,172,188,189],"1,":[171,173],".":[174,175,176],".)":[177,193],"radix":[185],"place":[186,270],"2,":[190,191,291,293,294,296],"...":[192],"q,":[195],"on,":[198],"ensures":[199],"no":[201],"is":[203],"neglected.":[204],"respect":[206],"outcomes":[212],"allocations":[215],"recorded":[218],"means":[220],"row":[223],"digits":[227],"(called":[228],"\"selector\")":[230],"corresponding":[232,316],"(from":[233],"left":[234],"right)":[236],"-2":[248,286],"(in":[249],"order)":[251],"2;":[256],"e.g.":[257],"=":[260],"3,":[261],"2-digit":[263],"right-hand":[266],"(2":[267],"th)":[269],"indicates":[271],"value":[275],"set":[279],"viz,":[292],"p,":[298],"q":[299],"r":[301],"respectively.":[302],"explicitation":[304],"rules":[306],"economical":[309],"selectors,":[312],"as":[313],"thus":[314],"described,":[315],"sentences":[318],"involving":[319],"large":[320],"numbers":[321],"(e.g.":[322],">":[323],"6)":[324]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
