{"id":"https://openalex.org/W1524594384","doi":"https://doi.org/10.3390/info5030508","title":"An Order-Theoretic Quantification of Contextuality","display_name":"An Order-Theoretic Quantification of Contextuality","publication_year":2014,"publication_date":"2014-09-22","ids":{"openalex":"https://openalex.org/W1524594384","doi":"https://doi.org/10.3390/info5030508","mag":"1524594384"},"language":"en","primary_location":{"id":"doi:10.3390/info5030508","is_oa":true,"landing_page_url":"https://doi.org/10.3390/info5030508","pdf_url":"https://www.mdpi.com/2078-2489/5/3/508/pdf?version=1411544202","source":{"id":"https://openalex.org/S4210219776","display_name":"Information","issn_l":"2078-2489","issn":["2078-2489"],"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":"Information","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2078-2489/5/3/508/pdf?version=1411544202","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Ian Durham","orcid":null},"institutions":[{"id":"https://openalex.org/I31649931","display_name":"Saint Anselm College","ror":"https://ror.org/04eybkn52","country_code":"US","type":"education","lineage":["https://openalex.org/I31649931"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ian Durham","raw_affiliation_strings":["Department of Physics, Saint Anselm College, 100 Saint Anselm Drive, Manchester, NH 03102, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Saint Anselm College, 100 Saint Anselm Drive, Manchester, NH 03102, USA","institution_ids":["https://openalex.org/I31649931"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I31649931"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.654,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.68738233,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"5","issue":"3","first_page":"508","last_page":"525"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.5105000138282776,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.5105000138282776,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.13519999384880066,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14299","display_name":"Complex Systems and Dynamics","score":0.04360000044107437,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kochen\u2013specker-theorem","display_name":"Kochen\u2013Specker theorem","score":0.9340000152587891},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5835999846458435},{"id":"https://openalex.org/keywords/determinism","display_name":"Determinism","score":0.5659999847412109},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4973999857902527},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.36500000953674316},{"id":"https://openalex.org/keywords/statement","display_name":"Statement (logic)","score":0.3294999897480011}],"concepts":[{"id":"https://openalex.org/C193588502","wikidata":"https://www.wikidata.org/wiki/Q528955","display_name":"Kochen\u2013Specker theorem","level":3,"score":0.9340000152587891},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5835999846458435},{"id":"https://openalex.org/C192183473","wikidata":"https://www.wikidata.org/wiki/Q131133","display_name":"Determinism","level":2,"score":0.5659999847412109},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4973999857902527},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.450300008058548},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.4205999970436096},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.36500000953674316},{"id":"https://openalex.org/C2777026412","wikidata":"https://www.wikidata.org/wiki/Q2684591","display_name":"Statement (logic)","level":2,"score":0.3294999897480011},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.2992999851703644},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.2883000075817108},{"id":"https://openalex.org/C100609095","wikidata":"https://www.wikidata.org/wiki/Q1335050","display_name":"Embodied cognition","level":2,"score":0.26460000872612},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.25859999656677246},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.25699999928474426},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.25540000200271606}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/info5030508","is_oa":true,"landing_page_url":"https://doi.org/10.3390/info5030508","pdf_url":"https://www.mdpi.com/2078-2489/5/3/508/pdf?version=1411544202","source":{"id":"https://openalex.org/S4210219776","display_name":"Information","issn_l":"2078-2489","issn":["2078-2489"],"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":"Information","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1409.6643","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.6643","pdf_url":"https://arxiv.org/pdf/1409.6643","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:6dc9e61b624e4291a2512b930118fce9","is_oa":true,"landing_page_url":"https://doaj.org/article/6dc9e61b624e4291a2512b930118fce9","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":"Information, Vol 5, Iss 3, Pp 508-525 (2014)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2078-2489/5/3/508/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/info5030508","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":"Information; Volume 5; Issue 3; Pages: 508-525","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/info5030508","is_oa":true,"landing_page_url":"https://doi.org/10.3390/info5030508","pdf_url":"https://www.mdpi.com/2078-2489/5/3/508/pdf?version=1411544202","source":{"id":"https://openalex.org/S4210219776","display_name":"Information","issn_l":"2078-2489","issn":["2078-2489"],"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":"Information","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311357","display_name":"Foundational Questions Institute","ror":"https://ror.org/016en1t86"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1524594384.pdf","grobid_xml":"https://content.openalex.org/works/W1524594384.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W219944171","https://openalex.org/W1516224330","https://openalex.org/W1554322258","https://openalex.org/W1935182853","https://openalex.org/W1981940647","https://openalex.org/W2011346799","https://openalex.org/W2051633079","https://openalex.org/W2327198916","https://openalex.org/W4250656876","https://openalex.org/W6637530595","https://openalex.org/W6660417667","https://openalex.org/W6748077875"],"related_works":[],"abstract_inverted_index":{"In":[0,15],"this":[1,51,102],"essay,":[2],"I":[3,18,48],"develop":[4,19],"order-theoretic":[5,29],"notions":[6],"of":[7,31,43,69,83],"determinism":[8],"and":[9,13,25,65,86,93],"contextuality":[10,24,32],"on":[11,62],"domains":[12],"topoi.":[14],"the":[16,28,36,40,44,57,66,74,81,99,110],"process,":[17],"a":[20,54],"method":[21],"for":[22,109],"quantifying":[23],"show":[26],"that":[27,50,73,98],"sense":[30,37],"is":[33,104,106],"analogous":[34],"to":[35,53,89],"embodied":[38],"in":[39,80],"topos-theoretic":[41],"statement":[42],"Kochen\u2013Specker":[45],"theorem.":[46],"Additionally,":[47],"argue":[49],"leads":[52],"relation":[55,103],"between":[56],"entropy":[58],"associated":[59],"with":[60],"measurements":[61],"quantum":[63,84],"systems":[64],"second":[67,75],"law":[68,76],"thermodynamics.":[70],"The":[71,96],"idea":[72],"has":[77],"its":[78],"origin":[79],"ordering":[82],"states":[85],"processes":[87],"dates":[88],"at":[90],"least":[91],"1958":[92],"possibly":[94],"earlier.":[95],"suggestion":[97],"mechanism":[100],"behind":[101],"contextuality,":[105],"made":[107],"here":[108],"first":[111],"time.":[112]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2016-06-24T00:00:00"}