{"id":"https://openalex.org/W2883996289","doi":"https://doi.org/10.26686/ajl.v15i3.4891","title":"The Boxdot Conjecture and the Generalized McKinsey Axiom","display_name":"The Boxdot Conjecture and the Generalized McKinsey Axiom","publication_year":2018,"publication_date":"2018-07-16","ids":{"openalex":"https://openalex.org/W2883996289","doi":"https://doi.org/10.26686/ajl.v15i3.4891","mag":"2883996289"},"language":"en","primary_location":{"id":"doi:10.26686/ajl.v15i3.4891","is_oa":true,"landing_page_url":"http://doi.org/10.26686/ajl.v15i3.4891","pdf_url":"https://ojs.victoria.ac.nz/ajl/article/download/4891/4345","source":{"id":"https://openalex.org/S2765067559","display_name":"The Australasian Journal of Logic","issn_l":"1448-5052","issn":["1448-5052"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Australasian Journal of Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://ojs.victoria.ac.nz/ajl/article/download/4891/4345","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051821416","display_name":"Christopher Steinsvold","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Christopher Steinsvold","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5051821416"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.11764472,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"15","issue":"3","first_page":"630","last_page":"641"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9431999921798706,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9431999921798706,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.8183057308197021},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.8112879395484924},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.808692216873169},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.7414168119430542},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5914665460586548},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.556006669998169},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.4715321660041809},{"id":"https://openalex.org/keywords/axiom-of-choice","display_name":"Axiom of choice","score":0.450792133808136},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3837069272994995},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3830326199531555},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3555694818496704},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34958934783935547},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34673741459846497},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34647828340530396},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1598677933216095},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.14867666363716125},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08349990844726562},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07941359281539917},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.07545214891433716},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.033597081899642944}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.8183057308197021},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.8112879395484924},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.808692216873169},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.7414168119430542},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5914665460586548},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.556006669998169},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.4715321660041809},{"id":"https://openalex.org/C151797676","wikidata":"https://www.wikidata.org/wiki/Q179692","display_name":"Axiom of choice","level":4,"score":0.450792133808136},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3837069272994995},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3830326199531555},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3555694818496704},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34958934783935547},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34673741459846497},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34647828340530396},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1598677933216095},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.14867666363716125},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08349990844726562},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07941359281539917},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.07545214891433716},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.033597081899642944},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.26686/ajl.v15i3.4891","is_oa":true,"landing_page_url":"http://doi.org/10.26686/ajl.v15i3.4891","pdf_url":"https://ojs.victoria.ac.nz/ajl/article/download/4891/4345","source":{"id":"https://openalex.org/S2765067559","display_name":"The Australasian Journal of Logic","issn_l":"1448-5052","issn":["1448-5052"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Australasian Journal of Logic","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.26686/ajl.v15i3.4891","is_oa":true,"landing_page_url":"http://doi.org/10.26686/ajl.v15i3.4891","pdf_url":"https://ojs.victoria.ac.nz/ajl/article/download/4891/4345","source":{"id":"https://openalex.org/S2765067559","display_name":"The Australasian Journal of Logic","issn_l":"1448-5052","issn":["1448-5052"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Australasian Journal of Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2883996289.pdf","grobid_xml":"https://content.openalex.org/works/W2883996289.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W2122381082","https://openalex.org/W2137892160","https://openalex.org/W6631930240","https://openalex.org/W6680675114"],"related_works":["https://openalex.org/W2031083694","https://openalex.org/W1504849543","https://openalex.org/W3162204513","https://openalex.org/W288388583","https://openalex.org/W178365807","https://openalex.org/W4302778552","https://openalex.org/W1550552339","https://openalex.org/W3112295066","https://openalex.org/W4210343663","https://openalex.org/W2373903136"],"abstract_inverted_index":{"The":[0,51],"Boxdot":[1],"Conjecture":[2],"is":[3,19,59],"shown":[4],"to":[5,62],"hold":[6],"for":[7,40],"a":[8,25],"novel":[9],"class":[10,18],"of":[11,24,28,53,56],"modal":[12],"systems.":[13],"Each":[14],"system":[15],"in":[16,42,49],"this":[17],"K":[20],"plus":[21],"an":[22,63],"instance":[23],"natural":[26],"generalization":[27],"the":[29,34,54,57],"McKinsey":[30],"axiom.":[31],"[Note":[32],"from":[33],"editors:":[35],"This":[36],"paper":[37],"was":[38],"accepted":[39],"publication":[41],"2011.":[43],"It":[44],"should":[45],"have":[46],"been":[47],"published":[48],"2014.":[50],"lateness":[52],"appearance":[55],"article":[58],"due":[60],"entirely":[61],"editorial":[64],"oversight.]":[65]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}