{"id":"https://openalex.org/W2025563234","doi":"https://doi.org/10.1305/ndjfl/1093956970","title":"Some defninitions of subjunctive implication, of counterfactual implication, and of related concepts.","display_name":"Some defninitions of subjunctive implication, of counterfactual implication, and of related concepts.","publication_year":1961,"publication_date":"1961-01-01","ids":{"openalex":"https://openalex.org/W2025563234","doi":"https://doi.org/10.1305/ndjfl/1093956970","mag":"2025563234"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093956970","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093956970","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-2/issue-4/Some-defninitions-of-subjunctive-implication-of-counterfactual-implication-and-of/10.1305/ndjfl/1093956970.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/Some-defninitions-of-subjunctive-implication-of-counterfactual-implication-and-of/10.1305/ndjfl/1093956970.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082067000","display_name":"Rolf Schock","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rolf Schock","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082067000"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2601425,"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/T11463","display_name":"Classical Philosophy and Thought","score":0.5838000178337097,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11463","display_name":"Classical Philosophy and Thought","score":0.5838000178337097,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10034","display_name":"Syntax, Semantics, Linguistic Variation","score":0.5637999773025513,"subfield":{"id":"https://openalex.org/subfields/1203","display_name":"Language and Linguistics"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10258","display_name":"Philosophy and Theoretical Science","score":0.5133000016212463,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/counterfactual-thinking","display_name":"Counterfactual thinking","score":0.8776140809059143},{"id":"https://openalex.org/keywords/counterfactual-conditional","display_name":"Counterfactual conditional","score":0.5660035610198975},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.4614033102989197},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.4501655697822571},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.3398378789424896}],"concepts":[{"id":"https://openalex.org/C108650721","wikidata":"https://www.wikidata.org/wiki/Q1783253","display_name":"Counterfactual thinking","level":2,"score":0.8776140809059143},{"id":"https://openalex.org/C71889745","wikidata":"https://www.wikidata.org/wiki/Q1783264","display_name":"Counterfactual conditional","level":3,"score":0.5660035610198975},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.4614033102989197},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.4501655697822571},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.3398378789424896}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1305/ndjfl/1093956970","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093956970","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-2/issue-4/Some-defninitions-of-subjunctive-implication-of-counterfactual-implication-and-of/10.1305/ndjfl/1093956970.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/1093956970","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093956970","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/1093956970","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093956970","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-2/issue-4/Some-defninitions-of-subjunctive-implication-of-counterfactual-implication-and-of/10.1305/ndjfl/1093956970.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","display_name":"Reduced inequalities","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2025563234.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2056582926","https://openalex.org/W3137864021","https://openalex.org/W4200271736","https://openalex.org/W2079879923","https://openalex.org/W2162910442","https://openalex.org/W2104420793","https://openalex.org/W3017854570","https://openalex.org/W2028689793","https://openalex.org/W4287775150","https://openalex.org/W4313936361"],"abstract_inverted_index":{"In":[0],"recent":[1],"years,":[2],"a":[3,43,56,182,236,250],"difficult":[4],"problem":[5,17,23],"has":[6],"come":[7],"to":[8,74,89,125,129,142,174],"the":[9,16,22,54,59,65,90,94,111,148,197,200,211,255],"attention":[10],"of":[11,18,24,28,67,113,136,150,161,213,257],"analytic":[12],"philosophy;":[13],"this":[14,99,120,188],"is":[15,49,69,128,165,185,202,235,241,249,254],"subjunctive":[19,137,167],"conditionals,":[20],"i.e.":[21],"reconstructing":[25],"such":[26],"statements":[27,114],"ordinary":[29],"language":[30],"as":[31],"'if":[32],"triangles":[33,37,77,81],"were":[34,78],"squares,":[35,79],"then":[36,80,143,239],"would":[38,82],"have":[39,84],"four":[40,85],"sides'":[41,86],"in":[42,53,70,110,181,246],"way":[44],"which":[45,115,159,179],"makes":[46],"explicit":[47],"whatever":[48],"being":[50],"implicitly":[51],"asserted":[52],"statements.Since":[55],"statement":[57,91],"like":[58],"one":[60],"just":[61,245],"mentioned":[62,92],"obviously":[63],"excludes":[64],"assertion":[66],"what":[68],"some":[71,151,219],"sense":[72,183],"opposed":[73],"it,":[75],"e.g.*if":[76],"not":[83,117,261],"with":[87,172,204,218],"respect":[88,173],"above,":[93],"required":[95],"reconstruction":[96],"must":[97],"take":[98],"into":[100],"account":[101],"and":[102,138,141,176,210,222],"so":[103],"at":[104],"least":[105],"cannot":[106],"easily":[107],"be":[108,170,190],"given":[109],"form":[112],"are":[116,180],"about":[118],"statements.In":[119],"discussion,":[121],"we":[122,216],"devote":[123],"ourselves":[124],"definitions.Our":[126],"aim":[127],"define":[130],"several":[131],"closely":[132,153],"related":[133,154],"metamathematical":[134],"relations":[135,146],"counterfactual":[139],"implication":[140,168],"use":[144],"these":[145,162],"for":[147],"definition":[149],"very":[152],"concepts.The":[155],"basic":[156],"idea":[157],"from":[158],"all":[160,258],"definitions":[163],"spring":[164],"that":[166,199],"can":[169],"defined":[171],"axioms":[175],"inference":[177],"rules":[178],"transportable.What":[184],"meant":[186],"by":[187],"will":[189],"made":[191],"more":[192],"clear":[193],"below.":[194],"I.":[195],"PRELIMINARIESOn":[196],"assumption":[198],"reader":[201],"acquainted":[203],"letters,":[205],"numerals,":[206],"subscripts,":[207],"superscripts,":[208],"arithmetic,":[209],"rudiments":[212],"set":[214,256],"theory,":[215],"begin":[217],"preliminary":[220],"conventions":[221],"definitions.Convention.The":[223],"letters":[224],"\u03ba":[225],"c?":[226],"through":[227],"*z":[228],"9":[229],"range":[230],"over":[231],"sets.Definition":[232],"1.If":[233],"772":[234],"positive":[237,259],"integer,":[238],"x":[240,248],"an":[242],"77z-term":[243],"sequence":[244],"case":[247],"function":[251],"whose":[252],"domain":[253],"integers":[260],"greater":[262],"than":[263],"m.":[264]},"counts_by_year":[],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}
