{"id":"https://openalex.org/W2326365785","doi":"https://doi.org/10.1017/s1755020314000471","title":"IN GOOD COMPANY? ON HUME\u2019S PRINCIPLE AND THE ASSIGNMENT OF NUMBERS TO INFINITE CONCEPTS","display_name":"IN GOOD COMPANY? ON HUME\u2019S PRINCIPLE AND THE ASSIGNMENT OF NUMBERS TO INFINITE CONCEPTS","publication_year":2015,"publication_date":"2015-01-16","ids":{"openalex":"https://openalex.org/W2326365785","doi":"https://doi.org/10.1017/s1755020314000471","mag":"2326365785"},"language":"en","primary_location":{"id":"doi:10.1017/s1755020314000471","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s1755020314000471","pdf_url":null,"source":{"id":"https://openalex.org/S24077076","display_name":"The Review of Symbolic Logic","issn_l":"1755-0203","issn":["1755-0203","1755-0211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"The Review of Symbolic Logic","raw_type":"journal-article"},"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/A5048685622","display_name":"Pietro Mancosu","orcid":"https://orcid.org/0000-0002-0165-7931"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"PAOLO MANCOSU","raw_affiliation_strings":["Department of Philosophy, University of California-Berkeley"],"affiliations":[{"raw_affiliation_string":"Department of Philosophy, University of California-Berkeley","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048685622"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":2.0637,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.85506686,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"8","issue":"2","first_page":"370","last_page":"410"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10258","display_name":"Philosophy and Theoretical Science","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/numerosity-adaptation-effect","display_name":"Numerosity adaptation effect","score":0.9264636039733887},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.609670102596283},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6006765961647034},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5804456472396851},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5643749237060547},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.5278068780899048},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.44059526920318604},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.39767956733703613},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3489406108856201},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.3435155153274536},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3203427493572235},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.12645968794822693}],"concepts":[{"id":"https://openalex.org/C163950791","wikidata":"https://www.wikidata.org/wiki/Q1301091","display_name":"Numerosity adaptation effect","level":3,"score":0.9264636039733887},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.609670102596283},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6006765961647034},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5804456472396851},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5643749237060547},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.5278068780899048},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.44059526920318604},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.39767956733703613},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3489406108856201},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.3435155153274536},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3203427493572235},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.12645968794822693},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C26760741","wikidata":"https://www.wikidata.org/wiki/Q160402","display_name":"Perception","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s1755020314000471","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s1755020314000471","pdf_url":null,"source":{"id":"https://openalex.org/S24077076","display_name":"The Review of Symbolic Logic","issn_l":"1755-0203","issn":["1755-0203","1755-0211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"The Review of Symbolic Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W24005568","https://openalex.org/W181022646","https://openalex.org/W196457610","https://openalex.org/W427823670","https://openalex.org/W578399129","https://openalex.org/W633045599","https://openalex.org/W646707096","https://openalex.org/W655486485","https://openalex.org/W819579785","https://openalex.org/W1481240676","https://openalex.org/W1536456454","https://openalex.org/W1545721382","https://openalex.org/W1546340695","https://openalex.org/W1548267215","https://openalex.org/W1550834519","https://openalex.org/W1890502908","https://openalex.org/W1971020770","https://openalex.org/W1987166876","https://openalex.org/W1997404494","https://openalex.org/W2004201189","https://openalex.org/W2007506579","https://openalex.org/W2010782644","https://openalex.org/W2012262903","https://openalex.org/W2016779016","https://openalex.org/W2017617530","https://openalex.org/W2020935285","https://openalex.org/W2034103717","https://openalex.org/W2050857809","https://openalex.org/W2060489768","https://openalex.org/W2068998339","https://openalex.org/W2070116033","https://openalex.org/W2070796306","https://openalex.org/W2079963815","https://openalex.org/W2092459140","https://openalex.org/W2100118858","https://openalex.org/W2109323615","https://openalex.org/W2132295555","https://openalex.org/W2134005108","https://openalex.org/W2138693191","https://openalex.org/W2139650446","https://openalex.org/W2158621078","https://openalex.org/W2326521496","https://openalex.org/W2483577032","https://openalex.org/W2501700008","https://openalex.org/W2545317622","https://openalex.org/W2571907189","https://openalex.org/W3179506523","https://openalex.org/W4239731868","https://openalex.org/W4253591200","https://openalex.org/W4388216386","https://openalex.org/W4388253611","https://openalex.org/W4388260146","https://openalex.org/W6761849002"],"related_works":["https://openalex.org/W3122821614","https://openalex.org/W1990163845","https://openalex.org/W1651031009","https://openalex.org/W1995324685","https://openalex.org/W3036295295","https://openalex.org/W4297818486","https://openalex.org/W145390965","https://openalex.org/W24519920","https://openalex.org/W2396217566","https://openalex.org/W1993364664"],"abstract_inverted_index":{"Abstract":[0],"In":[1,89,288],"a":[2,28,43,53,107,116,136,252,272,294,308],"recent":[3],"article":[4],"(Mancosu,":[5],"2009),":[6],"I":[7,92,114,178,203,219,292],"have":[8],"explored":[9],"the":[10,18,48,62,70,79,102,173,191,196,211,217,225,237,267,278,284,289,301,311,317],"historical,":[11],"mathematical,":[12],"and":[13,151,205,260],"philosophical":[14],"issues":[15],"related":[16],"to":[17,32,35,46,106,120,159,161,165,172,229,241,251,277,300],"new":[19],"theory":[20,24,103,285],"of":[21,25,38,64,72,82,104,109,142,144,148,168,199,213,227,239,274,280,286,296,313,319],"numerosities.":[22,287],"The":[23,124,132,244,262],"numerosities":[26,105],"provides":[27],"context":[29],"in":[30,41,59,112,146,190,224,236],"which":[31,207],"assign":[33],"\u2018sizes\u2019":[34],"infinite":[36,166,242],"sets":[37,167],"natural":[39],"numbers":[40,145,228,240],"such":[42,163],"way":[44],"as":[45,158,271],"preserve":[47],"part-whole":[49],"principle,":[50],"namely":[51],"if":[52],"set":[54],"A":[55,65],"is":[56,66,126],"properly":[57],"included":[58],"B":[60,73],"then":[61],"numerosity":[63,71],"strictly":[67],"less":[68],"than":[69],".":[74],"Numerosity":[75],"assignments":[76],"differ":[77],"from":[78,101,206,234],"standard":[80],"assignment":[81,226,238],"size":[83],"provided":[84],"by":[85,97],"Cantor\u2019s":[86],"cardinality":[87],"assignments.":[88],"this":[90,249,314],"paper":[91,125],"generalize":[93],"some":[94],"worries,":[95],"raised":[96],"Richard":[98],"Heck,":[99],"emerging":[100],"line":[108],"thought":[110],"resulting":[111],"what":[113],"call":[115],"\u2018good":[117,268,302],"company\u2019":[118,269,303],"objection":[119,270,276],"Hume\u2019s":[121,256],"Principle":[122,257],"(HP).":[123],"centered":[127],"around":[128],"five":[129],"main":[130],"parts.":[131],"first":[133],"(\u00a73)":[134],"takes":[135],"historical":[137],"look":[138],"at":[139],"nineteenth-century":[140],"attributions":[141],"equality":[143],"terms":[147],"one-one":[149],"correlation":[150],"argues":[152],"that":[153,180,187,193],"there":[154,181],"was":[155],"no":[156],"agreement":[157],"how":[160],"extend":[162],"determinations":[164],"objects.":[169],"This":[170],"leads":[171],"second":[174],"part":[175,246,264],"(\u00a74)":[176],"where":[177],"show":[179],"are":[182,188],"countably-infinite":[183],"many":[184],"abstraction":[185],"principles":[186,218],"\u2018good\u2019,":[189],"sense":[192],"they":[194],"share":[195],"same":[197,290],"virtues":[198],"HP":[200,223,281],"(or":[201],"so":[202],"claim)":[204],"we":[208],"can":[209],"derive":[210],"axioms":[212],"second-order":[214],"arithmetic.":[215],"All":[216],"present":[220],"agree":[221],"with":[222],"finite":[230],"concepts":[231],"but":[232],"diverge":[233],"it":[235],"concepts.":[243],"third":[245],"(\u00a75)":[247],"connects":[248],"material":[250,315],"debate":[253],"on":[254,283],"Finite":[255],"between":[258],"Heck":[259],"MacBride.":[261],"fourth":[263],"(\u00a76)":[265],"states":[266],"generalization":[273],"Heck\u2019s":[275],"analyticity":[279],"based":[282],"section":[291],"offer":[293],"taxonomy":[295],"possible":[297],"neo-logicist":[298],"responses":[299],"objection.":[304],"Finally,":[305],"\u00a77":[306],"makes":[307],"foray":[309],"into":[310],"relevance":[312],"for":[316,322],"issue":[318],"cross-sortal":[320],"identifications":[321],"abstractions.":[323]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}