{"id":"https://openalex.org/W2095343886","doi":"https://doi.org/10.1007/s11229-014-0458-6","title":"Regular probability comparisons imply the Banach\u2013Tarski Paradox","display_name":"Regular probability comparisons imply the Banach\u2013Tarski Paradox","publication_year":2014,"publication_date":"2014-05-02","ids":{"openalex":"https://openalex.org/W2095343886","doi":"https://doi.org/10.1007/s11229-014-0458-6","mag":"2095343886"},"language":"en","primary_location":{"id":"doi:10.1007/s11229-014-0458-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11229-014-0458-6","pdf_url":null,"source":{"id":"https://openalex.org/S255146","display_name":"Synthese","issn_l":"0039-7857","issn":["0039-7857","1573-0964"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Synthese","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/A5087612181","display_name":"Alexander R. Pruss","orcid":"https://orcid.org/0000-0002-0069-532X"},"institutions":[{"id":"https://openalex.org/I157394403","display_name":"Baylor University","ror":"https://ror.org/005781934","country_code":"US","type":"education","lineage":["https://openalex.org/I157394403"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alexander R. Pruss","raw_affiliation_strings":["Baylor University, One Bear Place #97273, Waco, TX, 76798-7273, USA","Baylor University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Baylor University, One Bear Place #97273, Waco, TX, 76798-7273, USA","institution_ids":["https://openalex.org/I157394403"]},{"raw_affiliation_string":"Baylor University","institution_ids":["https://openalex.org/I157394403"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087612181"],"corresponding_institution_ids":["https://openalex.org/I157394403"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":2.453,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.9025144,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"191","issue":"15","first_page":"3525","last_page":"3540"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11477","display_name":"Epistemology, Ethics, and Metaphysics","score":0.9955999851226807,"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"}},"topics":[{"id":"https://openalex.org/T11477","display_name":"Epistemology, Ethics, and Metaphysics","score":0.9955999851226807,"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/T10778","display_name":"Philosophy and History of Science","score":0.9897000193595886,"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/T10315","display_name":"Decision-Making and Behavioral Economics","score":0.9861999750137329,"subfield":{"id":"https://openalex.org/subfields/1800","display_name":"General Decision Sciences"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7341885566711426},{"id":"https://openalex.org/keywords/preorder","display_name":"Preorder","score":0.6943560838699341},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5517744421958923},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5369211435317993},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.5311682820320129},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.47756749391555786},{"id":"https://openalex.org/keywords/axiom-of-choice","display_name":"Axiom of choice","score":0.41772955656051636},{"id":"https://openalex.org/keywords/philosophy-of-language","display_name":"Philosophy of language","score":0.41048601269721985},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35957473516464233},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3485814929008484},{"id":"https://openalex.org/keywords/metaphysics","display_name":"Metaphysics","score":0.25590911507606506},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.17217960953712463},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.15802806615829468},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1359948217868805},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.1186898946762085},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.10371571779251099}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7341885566711426},{"id":"https://openalex.org/C2333172","wikidata":"https://www.wikidata.org/wiki/Q1425985","display_name":"Preorder","level":2,"score":0.6943560838699341},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5517744421958923},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5369211435317993},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.5311682820320129},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.47756749391555786},{"id":"https://openalex.org/C151797676","wikidata":"https://www.wikidata.org/wiki/Q179692","display_name":"Axiom of choice","level":4,"score":0.41772955656051636},{"id":"https://openalex.org/C123556308","wikidata":"https://www.wikidata.org/wiki/Q484761","display_name":"Philosophy of language","level":3,"score":0.41048601269721985},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35957473516464233},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3485814929008484},{"id":"https://openalex.org/C182744844","wikidata":"https://www.wikidata.org/wiki/Q35277","display_name":"Metaphysics","level":2,"score":0.25590911507606506},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.17217960953712463},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.15802806615829468},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1359948217868805},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.1186898946762085},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.10371571779251099},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11229-014-0458-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11229-014-0458-6","pdf_url":null,"source":{"id":"https://openalex.org/S255146","display_name":"Synthese","issn_l":"0039-7857","issn":["0039-7857","1573-0964"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Synthese","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7200000286102295}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W39337161","https://openalex.org/W50242226","https://openalex.org/W282511584","https://openalex.org/W307386433","https://openalex.org/W346646380","https://openalex.org/W932641379","https://openalex.org/W968309248","https://openalex.org/W1487583654","https://openalex.org/W1501385526","https://openalex.org/W1512739795","https://openalex.org/W1594563152","https://openalex.org/W1608084331","https://openalex.org/W1965017040","https://openalex.org/W1972825249","https://openalex.org/W1976967275","https://openalex.org/W2010556813","https://openalex.org/W2017182152","https://openalex.org/W2031353433","https://openalex.org/W2049049032","https://openalex.org/W2063327404","https://openalex.org/W2070631692","https://openalex.org/W2077128876","https://openalex.org/W2086115389","https://openalex.org/W2089089694","https://openalex.org/W2101191756","https://openalex.org/W2126163471","https://openalex.org/W2128785381","https://openalex.org/W2152323875","https://openalex.org/W2155535944","https://openalex.org/W2161048446","https://openalex.org/W2163900815","https://openalex.org/W2177831173","https://openalex.org/W2312161785","https://openalex.org/W2315422085","https://openalex.org/W2334813733","https://openalex.org/W2481096805","https://openalex.org/W2501630563","https://openalex.org/W2572301780","https://openalex.org/W2905591380","https://openalex.org/W2971268466","https://openalex.org/W2994590577","https://openalex.org/W3148796769","https://openalex.org/W4213168493","https://openalex.org/W4246900220","https://openalex.org/W4285719527","https://openalex.org/W4302602534","https://openalex.org/W6601610418","https://openalex.org/W6668391572","https://openalex.org/W6682854450","https://openalex.org/W6686395161","https://openalex.org/W6698724992","https://openalex.org/W6724327495"],"related_works":["https://openalex.org/W2059384236","https://openalex.org/W2793104284","https://openalex.org/W1495199168","https://openalex.org/W2008052156","https://openalex.org/W2376029318","https://openalex.org/W2113177679","https://openalex.org/W2388301251","https://openalex.org/W1993063311","https://openalex.org/W4210343663","https://openalex.org/W2373903136"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}