{"id":"https://openalex.org/W2007605932","doi":"https://doi.org/10.1086/289370","title":"Using Scott Domains to Explicate the Notions of Approximate and Idealized Data","display_name":"Using Scott Domains to Explicate the Notions of Approximate and Idealized Data","publication_year":1987,"publication_date":"1987-06-01","ids":{"openalex":"https://openalex.org/W2007605932","doi":"https://doi.org/10.1086/289370","mag":"2007605932"},"language":"en","primary_location":{"id":"doi:10.1086/289370","doi":"https://doi.org/10.1086/289370","is_oa":false,"landing_page_url":"https://doi.org/10.1086/289370","pdf_url":null,"source":{"id":"https://openalex.org/S147691735","display_name":"Philosophy of Science","issn_l":"0031-8248","issn":["0031-8248","1539-767X","1540-4684"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doyens","erih-plus","jufo-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Philosophy of Science","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087902172","display_name":"Ronald Laymon","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ronald Laymon","raw_affiliation_strings":["Department of Philosophy The Ohio State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Philosophy The Ohio State University","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087902172"],"corresponding_institution_ids":["https://openalex.org/I52357470"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":10.81,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.98228919,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"54","issue":"2","first_page":"194","last_page":"221"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10778","display_name":"Philosophy and History of Science","score":0.6592000126838684,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10778","display_name":"Philosophy and History of Science","score":0.6592000126838684,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13558","display_name":"Philosophy, Science, and History","score":0.28690001368522644,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.008799999952316284,"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/scott-domains","display_name":"Scott domains","score":0.9980000257492065},{"id":"https://openalex.org/keywords/continuous-lattices","display_name":"continuous lattices","score":0.9940000176429749},{"id":"https://openalex.org/keywords/approximate-data","display_name":"approximate data","score":0.7480000257492065},{"id":"https://openalex.org/keywords/scientific-theories","display_name":"scientific theories","score":0.6190000176429749},{"id":"https://openalex.org/keywords/theory-testing","display_name":"theory testing","score":0.828000009059906},{"id":"https://openalex.org/keywords/history-of-science","display_name":"history of science","score":0.7429999709129333}],"concepts":[{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.7080323696136475},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.559302031993866},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5518902540206909},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.5355657339096069},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4803563356399536},{"id":"https://openalex.org/C105056347","wikidata":"https://www.wikidata.org/wiki/Q3239681","display_name":"Scientific theory","level":2,"score":0.459223210811615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4501025676727295},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4252697825431824},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.41656553745269775},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33354243636131287},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.1593645215034485},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0869002640247345},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1086/289370","doi":"https://doi.org/10.1086/289370","is_oa":false,"landing_page_url":"https://doi.org/10.1086/289370","pdf_url":null,"source":{"id":"https://openalex.org/S147691735","display_name":"Philosophy of Science","issn_l":"0031-8248","issn":["0031-8248","1539-767X","1540-4684"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doyens","erih-plus","jufo-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Philosophy of Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W63161240","https://openalex.org/W632143945","https://openalex.org/W1512502927","https://openalex.org/W1530268204","https://openalex.org/W1544564247","https://openalex.org/W1590364596","https://openalex.org/W1592287058","https://openalex.org/W1684017852","https://openalex.org/W1786248596","https://openalex.org/W1974727004","https://openalex.org/W1983705661","https://openalex.org/W2022138153","https://openalex.org/W2031679048","https://openalex.org/W2044881420","https://openalex.org/W2045582888","https://openalex.org/W2048703547","https://openalex.org/W2054893091","https://openalex.org/W2058380691","https://openalex.org/W2073914077","https://openalex.org/W2086362464","https://openalex.org/W2095124694","https://openalex.org/W2100522339","https://openalex.org/W2314446575","https://openalex.org/W2515951737","https://openalex.org/W2898851980","https://openalex.org/W3142570015","https://openalex.org/W4210828651","https://openalex.org/W4211265583","https://openalex.org/W4245353148"],"related_works":["https://openalex.org/W3211742163","https://openalex.org/W55113185","https://openalex.org/W2173282362","https://openalex.org/W2044672114","https://openalex.org/W949444295","https://openalex.org/W2290786480","https://openalex.org/W7127148844","https://openalex.org/W2164126672","https://openalex.org/W2047635595","https://openalex.org/W627477098"],"abstract_inverted_index":{"This":[0,124],"paper":[1],"utilizes":[2],"Scott":[3,122],"domains":[4],"(continuous":[5],"lattices)":[6],"to":[7,44,101,136],"provide":[8],"a":[9,121],"mathematical":[10],"model":[11,41],"for":[12],"the":[13,22,30,80,91,102,112,118],"use":[14],"of":[15,24,32,39,69,79,83,94,105,114,120,129],"idealized":[16],"and":[17,67,96],"approximately":[18],"true":[19],"data":[20],"in":[21,37],"testing":[23],"scientific":[25,106],"theories.":[26],"Key":[27],"episodes":[28],"from":[29],"history":[31],"science":[33],"can":[34,133],"be":[35,134],"understood":[36],"terms":[38],"this":[40],"as":[42,63],"attempts":[43],"demonstrate":[45],"that":[46,50,111],"theories":[47,70,84,115],"are":[48,71,86],"monotonic,":[49],"is,":[51],"yield":[52],"better":[53,57],"predictions":[54],"when":[55],"fed":[56],"or":[58],"more":[59],"realistic":[60],"data.":[61],"However,":[62],"we":[64,109],"show,":[65],"monotonicity":[66],"truth":[68],"independent":[72],"notions.":[73],"A":[74],"formal":[75],"description":[76],"is":[77],"given":[78],"pragmatic":[81],"virtues":[82],"which":[85],"monotonic.":[87],"We":[88],"also":[89,116],"introduce":[90],"stronger":[92],"concept":[93],"continuity":[95],"show":[97,110],"how":[98,130],"it":[99],"relates":[100],"finite":[103],"nature":[104],"computations.":[107],"Finally,":[108],"space":[113],"has":[117],"structure":[119],"domain.":[123],"result":[125],"provides":[126],"an":[127],"analysis":[128],"one":[131],"theory":[132],"said":[135],"approximate":[137],"another.":[138]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}