{"id":"https://openalex.org/W2018898916","doi":"https://doi.org/10.1305/ndjfl/1093887531","title":"Pledger lemma and the modal system $S3\\deg$.","display_name":"Pledger lemma and the modal system $S3\\deg$.","publication_year":1976,"publication_date":"1976-04-01","ids":{"openalex":"https://openalex.org/W2018898916","doi":"https://doi.org/10.1305/ndjfl/1093887531","mag":"2018898916"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093887531","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093887531","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-17/issue-2/Pledger-lemma-and-the-modal-system-S3deg/10.1305/ndjfl/1093887531.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-17/issue-2/Pledger-lemma-and-the-modal-system-S3deg/10.1305/ndjfl/1093887531.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028676996","display_name":"Boles\u0142aw Soboci\u0144ski","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Boles\u0142aw Soboci\u0144ski","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028676996"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15792215,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.48989999294281006,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.48989999294281006,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.6681191921234131},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.5636104345321655},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48400065302848816},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.40340572595596313},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3479132652282715},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.1817995309829712},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.1430824100971222},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.0661810040473938}],"concepts":[{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.6681191921234131},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.5636104345321655},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48400065302848816},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.40340572595596313},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3479132652282715},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.1817995309829712},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.1430824100971222},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0661810040473938},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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:10.1305/ndjfl/1093887531","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093887531","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-17/issue-2/Pledger-lemma-and-the-modal-system-S3deg/10.1305/ndjfl/1093887531.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/1093887531","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093887531","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/1093887531","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093887531","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-17/issue-2/Pledger-lemma-and-the-modal-system-S3deg/10.1305/ndjfl/1093887531.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":[{"display_name":"Decent work and economic growth","score":0.46000000834465027,"id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2018898916.pdf","grobid_xml":"https://content.openalex.org/works/W2018898916.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W1973677441","https://openalex.org/W2024093192","https://openalex.org/W6651300963","https://openalex.org/W6656057121"],"related_works":["https://openalex.org/W3006682748","https://openalex.org/W1979597421","https://openalex.org/W1097487277","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2768610039","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819"],"abstract_inverted_index":{"OLESLAW":[0],"SOBOCINSKI":[1],"1":[2],"In":[3,74],"[8]":[4,75],"I":[5],"defined":[6],"modal":[7],"systems":[8,15,85],"S3.02,":[9,86],"S3.03,":[10,87],"and":[11,53,88,96],"S3.04":[12,89,106],"as":[13,45],"the":[14,23,84],"which":[16],"are":[17,68],"obtained":[18],"by":[19],"adding":[20],"to":[21],"S3":[22,95],"respective":[24],"axioms":[25,67],"-L1":[26],"&((pLppCLMLpp":[27],"-L2":[28,41],"&&(pLpp(LMLpp":[29],"L1":[30],"(ZLMLpCpLp":[31],"Remark:":[32],"It":[33],"should":[34],"be":[35,43],"noted":[36],"that":[37,54,81,97,104],"either":[38],"-L":[39],"or":[40],"can":[42],"accepted":[44],"a":[46,57,91,108],"proper":[47,58,92],"axiom":[48,59],"of":[49,60,71,83,94,111,114],"S4.02,":[50],"cf.":[51],"[6],":[52],"L":[55],"is":[56,90,107],"S4.04,":[61],"c/.,":[62],"e.g.,":[63],"[9].":[64],"Obviously,":[65],"these":[66],"not":[69,100],"consequences":[70],"S4.":[72,102],"1.1":[73],"it":[76],"has":[77],"been":[78],"established:":[79],"(a)":[80],"each":[82],"extension":[93],"they":[98],"do":[99],"contain":[101],"(b)":[103],"system":[105],"subsystem":[109],"neither":[110],"S3.02":[112],"nor":[113],"S3.03.":[115]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}