{"id":"https://openalex.org/W4321786962","doi":"https://doi.org/10.3390/axioms12030236","title":"Aristotelian Diagrams for the Proportional Quantifier \u2018Most\u2019","display_name":"Aristotelian Diagrams for the Proportional Quantifier \u2018Most\u2019","publication_year":2023,"publication_date":"2023-02-24","ids":{"openalex":"https://openalex.org/W4321786962","doi":"https://doi.org/10.3390/axioms12030236"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12030236","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12030236","pdf_url":"https://www.mdpi.com/2075-1680/12/3/236/pdf?version=1677228275","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/2075-1680/12/3/236/pdf?version=1677228275","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032155501","display_name":"Hans Smessaert","orcid":"https://orcid.org/0000-0002-8186-0170"},"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":"Hans Smessaert","raw_affiliation_strings":["Department of Linguistics, KU Leuven, 3000 Leuven, Belgium"],"raw_orcid":"https://orcid.org/0000-0002-8186-0170","affiliations":[{"raw_affiliation_string":"Department of Linguistics, KU Leuven, 3000 Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","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":false,"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":2,"corresponding_author_ids":["https://openalex.org/A5032155501"],"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":0.1931,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49741675,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"12","issue":"3","first_page":"236","last_page":"236"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9994000196456909,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9965000152587891,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9962000250816345,"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/existentialism","display_name":"Existentialism","score":0.6458902359008789},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.5952524542808533},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5534524917602539},{"id":"https://openalex.org/keywords/quantifier","display_name":"Quantifier (linguistics)","score":0.504092812538147},{"id":"https://openalex.org/keywords/quantifier-elimination","display_name":"Quantifier elimination","score":0.4193669557571411},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35876935720443726},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3476935029029846},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33063647150993347},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.2544955611228943},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.2280121147632599},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.17905285954475403},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10843855142593384}],"concepts":[{"id":"https://openalex.org/C127882523","wikidata":"https://www.wikidata.org/wiki/Q38066","display_name":"Existentialism","level":2,"score":0.6458902359008789},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.5952524542808533},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5534524917602539},{"id":"https://openalex.org/C2778523021","wikidata":"https://www.wikidata.org/wiki/Q5532504","display_name":"Quantifier (linguistics)","level":2,"score":0.504092812538147},{"id":"https://openalex.org/C32278780","wikidata":"https://www.wikidata.org/wiki/Q1849020","display_name":"Quantifier elimination","level":2,"score":0.4193669557571411},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35876935720443726},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3476935029029846},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33063647150993347},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.2544955611228943},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.2280121147632599},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.17905285954475403},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10843855142593384}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms12030236","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12030236","pdf_url":"https://www.mdpi.com/2075-1680/12/3/236/pdf?version=1677228275","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:20.500.12942/714891","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/20.500.12942/714891","pdf_url":"https://lirias.kuleuven.be/retrieve/f3a11c8e-413e-431f-9b31-08b9632d436e","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, vol. 12 (3), Art.No. 236, (1-13)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:doaj.org/article:4f4ecb32694e4e7da76723246859dbb0","is_oa":true,"landing_page_url":"https://doaj.org/article/4f4ecb32694e4e7da76723246859dbb0","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 12, Iss 3, p 236 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms12030236","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12030236","pdf_url":"https://www.mdpi.com/2075-1680/12/3/236/pdf?version=1677228275","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":[{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G3322763786","display_name":null,"funder_award_id":"IDN-19-009","funder_id":"https://openalex.org/F4320322308","funder_display_name":"KU Leuven"},{"id":"https://openalex.org/G5227081768","display_name":"Towards a Systematic Theory of Aristotelian Diagrams in Logical Geometry","funder_award_id":"101040049","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320322308","display_name":"KU Leuven","ror":"https://ror.org/05f950310"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4321786962.pdf"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1500029195","https://openalex.org/W1547668125","https://openalex.org/W1988046476","https://openalex.org/W1999273320","https://openalex.org/W2056813216","https://openalex.org/W2123542430","https://openalex.org/W2187164564","https://openalex.org/W2341415563","https://openalex.org/W2592067820","https://openalex.org/W2804436922","https://openalex.org/W2807933834","https://openalex.org/W2899169730","https://openalex.org/W3175196970","https://openalex.org/W4232781137","https://openalex.org/W4236828747","https://openalex.org/W4242740768","https://openalex.org/W4299811907","https://openalex.org/W4319718903","https://openalex.org/W6636303861","https://openalex.org/W6662685679","https://openalex.org/W6812685633","https://openalex.org/W6964286790"],"related_works":["https://openalex.org/W4214737172","https://openalex.org/W3012938552","https://openalex.org/W2324712051","https://openalex.org/W4287825236","https://openalex.org/W1239946963","https://openalex.org/W1973527399","https://openalex.org/W71729059","https://openalex.org/W1524103539","https://openalex.org/W3216731410","https://openalex.org/W2798639752"],"abstract_inverted_index":{"In":[0,44,93,129],"this":[1,127],"paper,":[2],"we":[3,48,97,133],"study":[4],"the":[5,8,13,23,29,58,74,115,118,151],"interaction":[6],"between":[7],"square":[9,24,64,76],"of":[10,25,40,54,70,90,105,117,150],"opposition":[11,26],"for":[12,57,65,77,126],"Aristotelian":[14],"quantifiers":[15],"(\u2018all\u2019,":[16],"\u2018some\u2019,":[17],"\u2018no\u2019,":[18],"and":[19,22,121,156],"\u2018not":[20],"all\u2019)":[21],"generated":[27],"by":[28],"proportional":[30],"quantifier":[31,37],"\u2018most\u2019":[32,66],"(in":[33],"its":[34,157],"standard":[35],"generalized":[36],"theory":[38],"reading":[39],"\u2018more":[41],"than":[42],"half\u2019).":[43],"a":[45,68,84,94,124,130,138,163],"first":[46],"step,":[47,132],"provide":[49],"an":[50,103,148],"analysis":[51],"in":[52,79,111],"terms":[53],"bitstring":[55,158],"semantics":[56,159],"two":[59,100],"squares":[60,101],"independently.":[61],"The":[62],"classical":[63],"involves":[67,83],"tripartition":[69],"logical":[71,112,139],"space,":[72],"whereas":[73],"degenerate":[75],"\u2018all\u2019":[78],"first-order":[80],"logic":[81],"(FOL)":[82],"quadripartition,":[85],"due":[86],"to":[87,137,162],"FOL\u2019s":[88],"lack":[89],"existential":[91,144],"import.":[92,145],"second":[95],"move,":[96],"combine":[98],"these":[99],"into":[102],"octagon":[104,149],"opposition,":[106],"which":[107,141],"was":[108],"hitherto":[109],"unattested":[110],"geometry,":[113],"while":[114],"meet":[116],"original":[119],"tri-":[120],"quadripartitions":[122],"yields":[123,147],"hexapartition":[125],"octagon.":[128],"final":[131],"switch":[134],"from":[135],"FOL":[136],"system,":[140],"does":[142],"assume":[143],"This":[146],"well":[152],"known":[153],"Lenzen":[154],"type,":[155],"is":[160],"reduced":[161],"pentapartition.":[164]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}