{"id":"https://openalex.org/W2281595857","doi":null,"title":"Toward a Kripkean concept of number","display_name":"Toward a Kripkean concept of number","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2281595857","mag":"2281595857"},"language":"en","primary_location":{"id":"pmh:oai:academicworks.cuny.edu:gc_etds-1717","doi":null,"is_oa":true,"landing_page_url":"https://academicworks.cuny.edu/gc_etds/703","pdf_url":"https://academicworks.cuny.edu/gc_etds/703","source":{"id":"https://openalex.org/S4377196304","display_name":"CUNY Academic Works (City University of New York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I174216632","host_organization_name":"City University of New York","host_organization_lineage":["https://openalex.org/I174216632"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Dissertations, Theses, and Capstone Projects","raw_type":"dissertation"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://academicworks.cuny.edu/gc_etds/703","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"O. R. Marshall","orcid":"https://orcid.org/0000-0002-5343-6495","observed_orcids":["https://orcid.org/0000-0002-5343-6495"]},"institutions":[{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"education","lineage":["https://openalex.org/I174216632"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"O. R. Marshall","raw_affiliation_strings":["City University of New York"],"raw_orcid":"https://orcid.org/0000-0002-5343-6495","affiliations":[{"raw_affiliation_string":"City University of New York","institution_ids":["https://openalex.org/I174216632"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I174216632"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.6547999978065491,"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/T12170","display_name":"History and Theory of Mathematics","score":0.6547999978065491,"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/T11477","display_name":"Epistemology, Ethics, and Metaphysics","score":0.20999999344348907,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"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/T10258","display_name":"Philosophy and Theoretical Science","score":0.10270000249147415,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/number-concepts","display_name":"number concepts","score":0.7599999904632568},{"id":"https://openalex.org/keywords/saul-kripke","display_name":"Saul Kripke","score":0.902999997138977},{"id":"https://openalex.org/keywords/natural-numbers","display_name":"natural numbers","score":0.6510000228881836},{"id":"https://openalex.org/keywords/analysis","display_name":"analysis","score":0.3499999940395355},{"id":"https://openalex.org/keywords/gottlob-frege","display_name":"Gottlob Frege","score":0.5120000243186951},{"id":"https://openalex.org/keywords/logicism","display_name":"logicism","score":0.8190000057220459},{"id":"https://openalex.org/keywords/number-systems","display_name":"number systems","score":0.6380000114440918},{"id":"https://openalex.org/keywords/numerical-reasoning","display_name":"numerical reasoning","score":0.3070000112056732},{"id":"https://openalex.org/keywords/geometric-patterns","display_name":"geometric patterns","score":0.35899999737739563},{"id":"https://openalex.org/keywords/indispensability","display_name":"indispensability","score":0.4790000021457672}],"concepts":[{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.6797118782997131},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.49813318252563477},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.46735480427742004},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4578408896923065},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.45592546463012695},{"id":"https://openalex.org/C2777239683","wikidata":"https://www.wikidata.org/wiki/Q157811","display_name":"Virtue","level":2,"score":0.4372895658016205},{"id":"https://openalex.org/C2776211767","wikidata":"https://www.wikidata.org/wiki/Q117850","display_name":"Doctrine","level":2,"score":0.43180859088897705},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3715999722480774},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3397238850593567},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3346881866455078},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.16286104917526245},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.13380664587020874},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:academicworks.cuny.edu:gc_etds-1717","doi":null,"is_oa":true,"landing_page_url":"https://academicworks.cuny.edu/gc_etds/703","pdf_url":"https://academicworks.cuny.edu/gc_etds/703","source":{"id":"https://openalex.org/S4377196304","display_name":"CUNY Academic Works (City University of New York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I174216632","host_organization_name":"City University of New York","host_organization_lineage":["https://openalex.org/I174216632"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Dissertations, Theses, and Capstone Projects","raw_type":"dissertation"},{"id":"mag:2281595857","doi":null,"is_oa":false,"landing_page_url":"http://academicworks.cuny.edu/gc_etds/703/","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:academicworks.cuny.edu:gc_etds-1717","doi":null,"is_oa":true,"landing_page_url":"https://academicworks.cuny.edu/gc_etds/703","pdf_url":"https://academicworks.cuny.edu/gc_etds/703","source":{"id":"https://openalex.org/S4377196304","display_name":"CUNY Academic Works (City University of New York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I174216632","host_organization_name":"City University of New York","host_organization_lineage":["https://openalex.org/I174216632"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Dissertations, Theses, and Capstone Projects","raw_type":"dissertation"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2281595857.pdf","grobid_xml":"https://content.openalex.org/works/W2281595857.grobid-xml"},"referenced_works_count":90,"referenced_works":["https://openalex.org/W24005568","https://openalex.org/W49905558","https://openalex.org/W72603957","https://openalex.org/W113781258","https://openalex.org/W120214402","https://openalex.org/W136104088","https://openalex.org/W150474061","https://openalex.org/W431040802","https://openalex.org/W570601432","https://openalex.org/W578399129","https://openalex.org/W589106828","https://openalex.org/W614593102","https://openalex.org/W623229060","https://openalex.org/W628141294","https://openalex.org/W656709765","https://openalex.org/W773517012","https://openalex.org/W914834656","https://openalex.org/W1481719540","https://openalex.org/W1500690632","https://openalex.org/W1516748551","https://openalex.org/W1533908468","https://openalex.org/W1539689427","https://openalex.org/W1570667678","https://openalex.org/W1571895365","https://openalex.org/W1576632330","https://openalex.org/W1964003856","https://openalex.org/W1964791398","https://openalex.org/W1973223110","https://openalex.org/W1980339904","https://openalex.org/W1982786253","https://openalex.org/W1990179614","https://openalex.org/W1993303861","https://openalex.org/W1996404651","https://openalex.org/W1999208280","https://openalex.org/W2004286722","https://openalex.org/W2004845518","https://openalex.org/W2008373716","https://openalex.org/W2009627758","https://openalex.org/W2012262903","https://openalex.org/W2016305644","https://openalex.org/W2020935285","https://openalex.org/W2035260372","https://openalex.org/W2035921609","https://openalex.org/W2037834323","https://openalex.org/W2046406031","https://openalex.org/W2055630873","https://openalex.org/W2060677735","https://openalex.org/W2062719791","https://openalex.org/W2064071505","https://openalex.org/W2066678816","https://openalex.org/W2071267962","https://openalex.org/W2072395631","https://openalex.org/W2076848228","https://openalex.org/W2082550766","https://openalex.org/W2084618002","https://openalex.org/W2087730581","https://openalex.org/W2094838157","https://openalex.org/W2106818966","https://openalex.org/W2112407717","https://openalex.org/W2119017831","https://openalex.org/W2124501854","https://openalex.org/W2127924526","https://openalex.org/W2136863984","https://openalex.org/W2142915129","https://openalex.org/W2144373230","https://openalex.org/W2147567907","https://openalex.org/W2149606986","https://openalex.org/W2155184861","https://openalex.org/W2160820865","https://openalex.org/W2165545766","https://openalex.org/W2215799300","https://openalex.org/W2284904207","https://openalex.org/W2287077086","https://openalex.org/W2318567299","https://openalex.org/W2332547720","https://openalex.org/W2332703092","https://openalex.org/W2476583583","https://openalex.org/W2482371929","https://openalex.org/W2482389083","https://openalex.org/W2493971814","https://openalex.org/W2499894122","https://openalex.org/W2503325346","https://openalex.org/W2504110702","https://openalex.org/W2506717032","https://openalex.org/W2526283764","https://openalex.org/W2535267881","https://openalex.org/W2606330123","https://openalex.org/W2795910229","https://openalex.org/W2891576308","https://openalex.org/W4248436593"],"related_works":["https://openalex.org/W4375825434","https://openalex.org/W773517012","https://openalex.org/W1987944399","https://openalex.org/W2326521496","https://openalex.org/W2282430883","https://openalex.org/W4388166880","https://openalex.org/W2600443006","https://openalex.org/W4210516616","https://openalex.org/W2758139492","https://openalex.org/W4249714253"],"abstract_inverted_index":{"Saul":[0],"Kripke":[1,123,160],"once":[2],"remarked":[3],"to":[4,16,46,82,99,121,141,201],"me":[5,25],"that":[6,85,94,110,127,148,166,248,261],"natural":[7],"numbers":[8,28,86,106,128,227],"cannot":[9],"be":[10,190],"posits":[11],"inferred":[12],"from":[13,214],"their":[14],"indispensability":[15],"science,":[17],"since":[18],"we\u2019ve":[19],"always":[20],"had":[21],"them.":[22],"This":[23],"left":[24],"wondering":[26],"whether":[27],"are":[29,112,129,181,228],"objects":[30],"of":[31,67,70,90,131,172,225,239,257,263],"Russellian":[32],"acquaintance,":[33],"or":[34,49],"accessible":[35],"by":[36,40,73,137,159,184,193],"analysis,":[37,196],"being":[38],"implied":[39],"known":[41,115],"general":[42],"principles":[43],"about":[44,105],"how":[45,200,219,226],"reason":[47,202],"correctly,":[48],"both.":[50],"To":[51],"answer":[52],"this":[53,136,205,264],"question,":[54],"I":[55,133,163,216,259],"discuss":[56],"some":[57],"recent":[58],"(and":[59],"not":[60],"so":[61],"recent)":[62],"work":[63],"on":[64,199],"our":[65,253],"concepts":[66,256],"number":[68,171],"and":[69,76,98,107,176,195,236,252],"particular":[71],"numbers,":[72],"leading":[74],"psychologists":[75],"philosophers.":[77],"Special":[78],"attention":[79],"is":[80,124,126,210],"paid":[81],"Kripke\u2019s":[83],"theory":[84],"possess":[87],"structural":[88,242],"features":[89],"the":[91,100,139,146,150,156,168,185],"numerical":[92,234],"systems":[93],"stand":[95],"for":[96,135],"them,":[97],"relation":[101],"between":[102,244],"his":[103,108],"proposal":[104],"doctrine":[109],"there":[111],"contingent":[113],"truths":[114],"a":[116,211,240,245],"priori.":[117],"My":[118],"own":[119],"proposal,":[120],"which":[122,142],"sympathetic,":[125],"properties":[130],"sets.":[132],"argue":[134,165,260],"showing":[138],"extent":[140],"it":[143,220],"can":[144,188],"avoid":[145],"problems":[147,157],"plague":[149],"various":[151],"views":[152],"under":[153],"discussion,":[154],"including":[155,197],"raised":[158],"against":[161],"Frege.":[162],"also":[164,217],"while":[167],"terms":[169],"\u2018the":[170],"F\u2019s\u2019,":[173],"\u2018natural":[174],"number\u2019":[175],"\u20180\u2019,":[177],"\u20181\u2019,":[178],"\u20182\u2019":[179],"etc.":[180],"partially":[182],"understood":[183,192],"folk,":[186],"they":[187],"only":[189],"fully":[191,254],"reflection":[194,198],"correctly.":[203],"In":[204],"last":[206],"respect":[207],"my":[208],"thesis":[209],"retreat":[212],"position":[213],"logicism.":[215],"show":[218],"dovetails":[221],"with":[222,267],"an":[223],"account":[224],"actually":[229],"grasped":[230],"in":[231,237],"practice,":[232],"via":[233],"systems,":[235],"virtue":[238],"certain":[241],"affinity":[243],"geometric":[246],"pattern":[247],"we":[249],"grasp":[250],"intuitively,":[251],"analyzed":[255],"numbers.":[258,268],"none":[262],"involves":[265],"acquaintance":[266]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":10}],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2016-06-24T00:00:00"}