{"id":"https://openalex.org/W1975259571","doi":"https://doi.org/10.1305/ndjfl/1093635240","title":"Infinite sets of nonequivalent modalities.","display_name":"Infinite sets of nonequivalent modalities.","publication_year":1989,"publication_date":"1989-09-01","ids":{"openalex":"https://openalex.org/W1975259571","doi":"https://doi.org/10.1305/ndjfl/1093635240","mag":"1975259571"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093635240","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093635240","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-30/issue-4/Infinite-sets-of-nonequivalent-modalities/10.1305/ndjfl/1093635240.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-30/issue-4/Infinite-sets-of-nonequivalent-modalities/10.1305/ndjfl/1093635240.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079614550","display_name":"Fabio Bellissima","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Fabio Bellissima","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5079614550"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4818,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.7067992,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9976000189781189,"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":0.9976000189781189,"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":0.9962000250816345,"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"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9785000085830688,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5651365518569946},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.535557210445404},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.3510446548461914},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.33655208349227905},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32424044609069824},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.23808607459068298},{"id":"https://openalex.org/keywords/orthodontics","display_name":"Orthodontics","score":0.11641421914100647}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5651365518569946},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.535557210445404},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.3510446548461914},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33655208349227905},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32424044609069824},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.23808607459068298},{"id":"https://openalex.org/C29694066","wikidata":"https://www.wikidata.org/wiki/Q118301","display_name":"Orthodontics","level":1,"score":0.11641421914100647}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1305/ndjfl/1093635240","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093635240","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-30/issue-4/Infinite-sets-of-nonequivalent-modalities/10.1305/ndjfl/1093635240.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/1093635240","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093635240","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"},{"id":"pmh:oai:usiena-air.unisi.it:11365/26949","is_oa":false,"landing_page_url":"http://hdl.handle.net/11365/26949","pdf_url":null,"source":{"id":"https://openalex.org/S4377196319","display_name":"Use Siena air (University of Siena)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102064193","host_organization_name":"University of Siena","host_organization_lineage":["https://openalex.org/I102064193"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1305/ndjfl/1093635240","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093635240","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-30/issue-4/Infinite-sets-of-nonequivalent-modalities/10.1305/ndjfl/1093635240.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":"Reduced inequalities","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1975259571.pdf","grobid_xml":"https://content.openalex.org/works/W1975259571.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1527588453","https://openalex.org/W1527720545","https://openalex.org/W1596067335","https://openalex.org/W2084684966","https://openalex.org/W2319388297","https://openalex.org/W7039293837"],"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],"set":[1,27],"of":[2,9],"irreducible":[3],"nonequivalent":[4],"modalities":[5],"for":[6],"a":[7],"class":[8],"normal":[10],"modal":[11],"logics":[12,17],"is":[13],"determined.":[14],"All":[15],"the":[16],"considered":[18],"(KT,":[19],"KD,":[20],"K4,":[21],"KB,":[22],"among":[23],"others)":[24],"have":[25],"this":[26],"infinite.":[28]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}