{"id":"https://openalex.org/W3175196970","doi":"https://doi.org/10.3390/axioms10030128","title":"Logic-Sensitivity of Aristotelian Diagrams in Non-Normal Modal Logics","display_name":"Logic-Sensitivity of Aristotelian Diagrams in Non-Normal Modal Logics","publication_year":2021,"publication_date":"2021-06-22","ids":{"openalex":"https://openalex.org/W3175196970","doi":"https://doi.org/10.3390/axioms10030128","mag":"3175196970"},"language":"en","primary_location":{"id":"doi:10.3390/axioms10030128","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms10030128","pdf_url":"https://www.mdpi.com/2075-1680/10/3/128/pdf?version=1624367762","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/10/3/128/pdf?version=1624367762","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051081904","display_name":"Lorenz Demey","orcid":"https://orcid.org/0000-0002-0176-1958"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Lorenz Demey","raw_affiliation_strings":["Center for Logic and Philosophy of Science, KU Leuven, 3000 Leuven, Belgium","KU Leuven Institute for Artificial Intelligence, KU Leuven, 3000 Leuven, Belgium"],"raw_orcid":"https://orcid.org/0000-0002-0176-1958","affiliations":[{"raw_affiliation_string":"Center for Logic and Philosophy of Science, KU Leuven, 3000 Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"KU Leuven Institute for Artificial Intelligence, KU Leuven, 3000 Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5051081904"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.8396,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.78547064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"10","issue":"3","first_page":"128","last_page":"128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9984999895095825,"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":0.9984999895095825,"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":0.9957000017166138,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9843000173568726,"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/normal-modal-logic","display_name":"Normal modal logic","score":0.7878830432891846},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.7529680132865906},{"id":"https://openalex.org/keywords/accessibility-relation","display_name":"Accessibility relation","score":0.6705018877983093},{"id":"https://openalex.org/keywords/s5","display_name":"S5","score":0.6065419316291809},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.5547090768814087},{"id":"https://openalex.org/keywords/kripke-semantics","display_name":"Kripke semantics","score":0.5041755437850952},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4719395041465759},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.42744573950767517},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.4147018492221832},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39685818552970886},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3954458236694336},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3271285891532898},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.2983797490596771},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2794168293476105},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2607167363166809}],"concepts":[{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.7878830432891846},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.7529680132865906},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.6705018877983093},{"id":"https://openalex.org/C192609573","wikidata":"https://www.wikidata.org/wiki/Q7388341","display_name":"S5","level":5,"score":0.6065419316291809},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.5547090768814087},{"id":"https://openalex.org/C160131679","wikidata":"https://www.wikidata.org/wiki/Q2462350","display_name":"Kripke semantics","level":4,"score":0.5041755437850952},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4719395041465759},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.42744573950767517},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.4147018492221832},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39685818552970886},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3954458236694336},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3271285891532898},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.2983797490596771},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2794168293476105},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2607167363166809},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/axioms10030128","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms10030128","pdf_url":"https://www.mdpi.com/2075-1680/10/3/128/pdf?version=1624367762","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/676712","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/676712","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Axioms, vol. 10 (3), Art.No. 128, (1-25)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:doaj.org/article:a1ad2f7446ff494d9a969645f63f60ed","is_oa":true,"landing_page_url":"https://doaj.org/article/a1ad2f7446ff494d9a969645f63f60ed","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 10, Iss 3, p 128 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/10/3/128/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms10030128","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 10; Issue 3; Pages: 128","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms10030128","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms10030128","pdf_url":"https://www.mdpi.com/2075-1680/10/3/128/pdf?version=1624367762","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322308","display_name":"KU Leuven","ror":"https://ror.org/05f950310"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3175196970.pdf","grobid_xml":"https://content.openalex.org/works/W3175196970.grobid-xml"},"referenced_works_count":77,"referenced_works":["https://openalex.org/W8827884","https://openalex.org/W156379767","https://openalex.org/W206347215","https://openalex.org/W623468948","https://openalex.org/W1500029195","https://openalex.org/W1533381840","https://openalex.org/W1559666492","https://openalex.org/W1588388544","https://openalex.org/W1596067335","https://openalex.org/W1600589698","https://openalex.org/W1617290740","https://openalex.org/W1831944427","https://openalex.org/W1966710300","https://openalex.org/W1971382238","https://openalex.org/W1981729628","https://openalex.org/W1991650963","https://openalex.org/W1999273320","https://openalex.org/W2001457416","https://openalex.org/W2002093268","https://openalex.org/W2005586845","https://openalex.org/W2011847778","https://openalex.org/W2037730906","https://openalex.org/W2086796727","https://openalex.org/W2140004352","https://openalex.org/W2142636279","https://openalex.org/W2179211458","https://openalex.org/W2179956734","https://openalex.org/W2216040752","https://openalex.org/W2219204552","https://openalex.org/W2243739386","https://openalex.org/W2253255956","https://openalex.org/W2288821240","https://openalex.org/W2294374137","https://openalex.org/W2294851585","https://openalex.org/W2331920816","https://openalex.org/W2335736099","https://openalex.org/W2345474136","https://openalex.org/W2476283206","https://openalex.org/W2476954248","https://openalex.org/W2478931886","https://openalex.org/W2485933926","https://openalex.org/W2493277499","https://openalex.org/W2496035556","https://openalex.org/W2496313626","https://openalex.org/W2549731080","https://openalex.org/W2551440050","https://openalex.org/W2581369044","https://openalex.org/W2592067820","https://openalex.org/W2593074971","https://openalex.org/W2619231721","https://openalex.org/W2751198190","https://openalex.org/W2760099783","https://openalex.org/W2768154882","https://openalex.org/W2784035625","https://openalex.org/W2789132423","https://openalex.org/W2789483438","https://openalex.org/W2800845814","https://openalex.org/W2803370176","https://openalex.org/W2804436922","https://openalex.org/W2807933834","https://openalex.org/W2898376698","https://openalex.org/W2899169730","https://openalex.org/W2944581027","https://openalex.org/W3008575084","https://openalex.org/W3049674011","https://openalex.org/W4210492164","https://openalex.org/W4232781137","https://openalex.org/W4233906803","https://openalex.org/W4242309855","https://openalex.org/W4242740768","https://openalex.org/W4299811907","https://openalex.org/W4317650629","https://openalex.org/W6610352853","https://openalex.org/W6636303861","https://openalex.org/W6681111039","https://openalex.org/W6690587711","https://openalex.org/W6964286790"],"related_works":["https://openalex.org/W2101793126","https://openalex.org/W2077061463","https://openalex.org/W2766759918","https://openalex.org/W2963628981","https://openalex.org/W2554822349","https://openalex.org/W2039904055","https://openalex.org/W2004665970","https://openalex.org/W1524462322","https://openalex.org/W1588790262","https://openalex.org/W4232501171"],"abstract_inverted_index":{"Aristotelian":[0,37,65,80,98,105,128],"diagrams,":[1,129],"such":[2],"as":[3],"the":[4,11,60,115],"square":[5],"of":[6,13,19,31,42,53,62,64,73,85,89,95,104,112,117,127,155],"opposition,":[7],"are":[8,131],"well-known":[9],"in":[10,29,114],"context":[12],"normal":[14,118,137],"modal":[15,20,43,119,138,156],"logics":[16],"(i.e.,":[17],"systems":[18,41,154],"logic":[21,44],"which":[22,130,141],"can":[23],"be":[24,146],"given":[25,97],"a":[26,49,96],"relational":[27,54],"semantics":[28],"terms":[30],"Kripke":[32],"models).":[33],"This":[34],"paper":[35],"studies":[36],"diagrams":[38,106],"for":[39],"non-normal":[40,153],"(based":[45],"on":[46],"neighborhood":[47],"semantics,":[48],"topologically":[50],"inspired":[51],"generalization":[52],"semantics).":[55],"In":[56],"particular,":[57],"we":[58,122,150],"investigate":[59],"phenomenon":[61],"logic-sensitivity":[63,113],"diagrams.":[66],"We":[67,100],"distinguish":[68],"between":[69],"four":[70,110],"different":[71],"types":[72,111],"logic-sensitivity,":[74],"viz.":[75],"with":[76,134],"respect":[77,135],"to":[78,136,145,152],"(i)":[79],"families,":[81],"(ii)":[82],"logical":[83],"equivalence":[84],"formulas,":[86,90],"(iii)":[87],"contingency":[88],"and":[91],"(iv)":[92],"Boolean":[93],"subfamilies":[94],"family.":[99],"provide":[101],"concrete":[102],"examples":[103,126],"that":[107],"illustrate":[108],"these":[109],"realm":[116],"logic.":[120,157],"Next,":[121],"discuss":[123],"more":[124],"subtle":[125],"not":[132],"sensitive":[133],"logics,":[139],"but":[140],"nevertheless":[142],"turn":[143,151],"out":[144],"highly":[147],"logic-sensitive":[148],"once":[149]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}