{"id":"https://openalex.org/W2166576988","doi":"https://doi.org/10.2178/bsl/1333560806","title":"On Tarski's Foundations of the Geometry of Solids","display_name":"On Tarski's Foundations of the Geometry of Solids","publication_year":2012,"publication_date":"2012-04-04","ids":{"openalex":"https://openalex.org/W2166576988","doi":"https://doi.org/10.2178/bsl/1333560806","mag":"2166576988"},"language":"en","primary_location":{"id":"doi:10.2178/bsl/1333560806","is_oa":false,"landing_page_url":"https://doi.org/10.2178/bsl/1333560806","pdf_url":null,"source":{"id":"https://openalex.org/S130801046","display_name":"Bulletin of Symbolic Logic","issn_l":"1079-8986","issn":["1079-8986","1943-5894"],"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 Bulletin 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/A5070843600","display_name":"Arianna Betti","orcid":"https://orcid.org/0000-0002-9921-3166"},"institutions":[{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Arianna Betti","raw_affiliation_strings":["Faculty of Philosophy, Vu University Amsterdam, De Boelelaan 1105, 1081 HV Amsterdam, The Netherlands E-mail:","Faculty of Philosophy, Vu University Amsterdam, De Boelelaan 1105, 1081 HV Amsterdam, The NetherlandsE-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Philosophy, Vu University Amsterdam, De Boelelaan 1105, 1081 HV Amsterdam, The Netherlands E-mail:","institution_ids":["https://openalex.org/I865915315"]},{"raw_affiliation_string":"Faculty of Philosophy, Vu University Amsterdam, De Boelelaan 1105, 1081 HV Amsterdam, The NetherlandsE-mail:","institution_ids":["https://openalex.org/I865915315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037096385","display_name":"Iris Loeb","orcid":null},"institutions":[{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Iris Loeb","raw_affiliation_strings":["Faculty of Philosophy, Vu University Amsterdam, De Boelelaan 1105, 1081 HV Amsterdam, The Netherlands E-mail:","Faculty of Philosophy, Vu University Amsterdam, De Boelelaan 1105, 1081 HV Amsterdam, The NetherlandsE-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Philosophy, Vu University Amsterdam, De Boelelaan 1105, 1081 HV Amsterdam, The Netherlands E-mail:","institution_ids":["https://openalex.org/I865915315"]},{"raw_affiliation_string":"Faculty of Philosophy, Vu University Amsterdam, De Boelelaan 1105, 1081 HV Amsterdam, The NetherlandsE-mail:","institution_ids":["https://openalex.org/I865915315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I865915315"],"apc_list":null,"apc_paid":null,"fwci":11.6997,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.98407807,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"18","issue":"2","first_page":"230","last_page":"260"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9864000082015991,"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"}},"topics":[{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9864000082015991,"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":0.983299970626831,"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"}},{"id":"https://openalex.org/T10778","display_name":"Philosophy and History of Science","score":0.9689000248908997,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.6509018540382385},{"id":"https://openalex.org/keywords/mistake","display_name":"Mistake","score":0.6458795666694641},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5685479640960693},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.5432151556015015},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4650114178657532},{"id":"https://openalex.org/keywords/philosophy-of-mathematics","display_name":"Philosophy of mathematics","score":0.4600526988506317},{"id":"https://openalex.org/keywords/mathematical-logic","display_name":"Mathematical logic","score":0.4591253995895386},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.4388169050216675},{"id":"https://openalex.org/keywords/embodied-cognition","display_name":"Embodied cognition","score":0.41305050253868103},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3845522999763489},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3814249634742737},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3561957776546478},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2782052755355835},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19663885235786438},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.08746683597564697}],"concepts":[{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.6509018540382385},{"id":"https://openalex.org/C2777179996","wikidata":"https://www.wikidata.org/wiki/Q911222","display_name":"Mistake","level":2,"score":0.6458795666694641},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5685479640960693},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.5432151556015015},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4650114178657532},{"id":"https://openalex.org/C40238689","wikidata":"https://www.wikidata.org/wiki/Q180536","display_name":"Philosophy of mathematics","level":2,"score":0.4600526988506317},{"id":"https://openalex.org/C47884741","wikidata":"https://www.wikidata.org/wiki/Q1166618","display_name":"Mathematical logic","level":2,"score":0.4591253995895386},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.4388169050216675},{"id":"https://openalex.org/C100609095","wikidata":"https://www.wikidata.org/wiki/Q1335050","display_name":"Embodied cognition","level":2,"score":0.41305050253868103},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3845522999763489},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3814249634742737},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3561957776546478},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2782052755355835},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19663885235786438},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.08746683597564697},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2178/bsl/1333560806","is_oa":false,"landing_page_url":"https://doi.org/10.2178/bsl/1333560806","pdf_url":null,"source":{"id":"https://openalex.org/S130801046","display_name":"Bulletin of Symbolic Logic","issn_l":"1079-8986","issn":["1079-8986","1943-5894"],"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 Bulletin of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:research.vu.nl:openaire_cris_publications/2794356b-f7fd-411c-9d67-12cbea3756bc","is_oa":false,"landing_page_url":"https://research.vu.nl/en/publications/2794356b-f7fd-411c-9d67-12cbea3756bc","pdf_url":null,"source":{"id":"https://openalex.org/S4306401107","display_name":"VU Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I865915315","host_organization_name":"Vrije Universiteit Amsterdam","host_organization_lineage":["https://openalex.org/I865915315"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Betti, A & Loeb, I 2012, 'On Tarski\u2019s Foundations of the Geometry of Solids', Bulletin of Symbolic Logic, vol. 18, no. 2, pp. 230-260. https://doi.org/10.2178/bsl/1333560806","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CULeuclid:euclid.bsl/1333560806","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.bsl/1333560806","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:dare.ubvu.vu.nl:1871/43926","is_oa":false,"landing_page_url":"http://hdl.handle.net/1871/43926","pdf_url":null,"source":{"id":"https://openalex.org/S4306400546","display_name":"Digital Academic REpository of VU University Amsterdam (Vrije Universiteit Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I865915315","host_organization_name":"Vrije Universiteit Amsterdam","host_organization_lineage":["https://openalex.org/I865915315"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"18","raw_type":"Article / Letter to editor"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321013","display_name":"Radboud Universiteit","ror":"https://ror.org/016xsfp80"},{"id":"https://openalex.org/F4320321014","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W79683317","https://openalex.org/W124080408","https://openalex.org/W190194282","https://openalex.org/W236464891","https://openalex.org/W392721968","https://openalex.org/W569683746","https://openalex.org/W594402137","https://openalex.org/W634939315","https://openalex.org/W1485412063","https://openalex.org/W1541955821","https://openalex.org/W1581325729","https://openalex.org/W1593773959","https://openalex.org/W1879819495","https://openalex.org/W1968735258","https://openalex.org/W1970657203","https://openalex.org/W1971678930","https://openalex.org/W1981747532","https://openalex.org/W1996096106","https://openalex.org/W2006078960","https://openalex.org/W2007568566","https://openalex.org/W2008730586","https://openalex.org/W2014592583","https://openalex.org/W2036845170","https://openalex.org/W2041833446","https://openalex.org/W2066875728","https://openalex.org/W2077836518","https://openalex.org/W2080293785","https://openalex.org/W2088249874","https://openalex.org/W2098397498","https://openalex.org/W2101256571","https://openalex.org/W2118598049","https://openalex.org/W2132469297","https://openalex.org/W2141065042","https://openalex.org/W2164789723","https://openalex.org/W2324223338","https://openalex.org/W2324483890","https://openalex.org/W2331720955","https://openalex.org/W2403653109","https://openalex.org/W2490002303","https://openalex.org/W2546408443","https://openalex.org/W2583232828","https://openalex.org/W2903493322","https://openalex.org/W2983870116","https://openalex.org/W3026721206","https://openalex.org/W3139934447","https://openalex.org/W3150340243","https://openalex.org/W4213236815","https://openalex.org/W4232523596","https://openalex.org/W4239757649","https://openalex.org/W4251587374","https://openalex.org/W4388294936","https://openalex.org/W6713197628"],"related_works":["https://openalex.org/W2501776391","https://openalex.org/W203869667","https://openalex.org/W2141014878","https://openalex.org/W2989765534","https://openalex.org/W2594417113","https://openalex.org/W2799332305","https://openalex.org/W2890689331","https://openalex.org/W2794161207","https://openalex.org/W2178170871","https://openalex.org/W2913630459"],"abstract_inverted_index":{"Abstract":[0],"The":[1,159],"paper":[2,44],"[Tarski:":[3],"Les":[4],"fondements":[5],"de":[6,12,16],"la":[7,13],"g\u00e9om\u00e9trie":[8],"des":[9],"corps,":[10],"Annales":[11],"Soci\u00e9t\u00e9":[14],"Polonaise":[15],"Math\u00e9matiques":[17],",":[18,164],"pp.":[19,170],"29\u201334,":[20],"1929]":[21],"is":[22],"in":[23,42,121,131,138,149],"many":[24],"ways":[25,120],"remarkable.":[26],"We":[27],"address":[28],"three":[29],"historico-philosophical":[30],"issues":[31],"that":[32,41,66,77],"force":[33],"themselves":[34],"upon":[35],"the":[36,74,90,118,123,147],"reader.":[37],"First":[38],"we":[39,64,140,143],"argue":[40],"this":[43,137],"Tarski":[45,175],"did":[46],"not":[47,72],"live":[48],"up":[49],"to":[50,82,84,101,113,128,145,173],"his":[51],"own":[52],"methodological":[53],"ideals,":[54],"but":[55],"displayed":[56],"instead":[57],"a":[58,114,132,178],"much":[59],"more":[60],"pragmatic":[61],"approach.":[62],"Second":[63],"show":[65],"Le\u015bniewski's":[67],"philosophy":[68],"and":[69,151],"systems":[70,103],"do":[71],"play":[73],"significant":[75],"role":[76,91],"one":[78],"may":[79],"be":[80,96,129],"tempted":[81],"assign":[83],"them":[85],"at":[86,97],"first":[87],"glance.":[88],"Especially":[89],"of":[92,104,117,125,136,157,161],"background":[93],"logic":[94],"must":[95],"least":[98],"partially":[99],"allocated":[100],"Russell's":[102],"Principia":[105],"mathematica":[106],".":[107],"This":[108],"analysis":[109],"leads":[110],"us,":[111],"third,":[112],"threefold":[115],"distinction":[116],"technical":[119],"which":[122,174],"domain":[124],"discourse":[126],"comes":[127],"embodied":[130],"theory.":[133],"Having":[134],"all":[135],"place,":[139],"discuss":[141],"why":[142],"have":[144],"reject":[146],"argument":[148],"[Gruszczy\u0144ski":[150],"Pietruszczak:":[152],"Full":[153],"development":[154],"ofTarski's":[155],"Geometry":[156],"Solids,":[158],"Bulletin":[160],"Symbolic":[162],"Logic":[163],"vol.":[165],"4":[166],"(2008),":[167],"no.":[168],"4,":[169],"481\u2013540]":[171],"according":[172],"has":[176],"made":[177],"certain":[179],"mistake.":[180]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-19T15:00:24.278416","created_date":"2025-10-10T00:00:00"}