{"id":"https://openalex.org/W2593536082","doi":"https://doi.org/10.2178/jsl.7802070","title":"Partial impredicativity in reverse mathematics","display_name":"Partial impredicativity in reverse mathematics","publication_year":2013,"publication_date":"2013-05-15","ids":{"openalex":"https://openalex.org/W2593536082","doi":"https://doi.org/10.2178/jsl.7802070","mag":"2593536082"},"language":"en","primary_location":{"id":"doi:10.2178/jsl.7802070","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl.7802070","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"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 Journal 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/A5047471753","display_name":"Henry Towsner","orcid":"https://orcid.org/0000-0001-7993-5148"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Henry Towsner","raw_affiliation_strings":["Department of Mathematics, University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA 19104-6395, USA, E-mail:"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA 19104-6395, USA, E-mail:","institution_ids":["https://openalex.org/I79576946"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5047471753"],"corresponding_institution_ids":["https://openalex.org/I79576946"],"apc_list":null,"apc_paid":null,"fwci":0.3625,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.69269147,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"78","issue":"2","first_page":"459","last_page":"488"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10778","display_name":"Philosophy and History of Science","score":0.9855999946594238,"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/tautology","display_name":"Tautology (logic)","score":0.7228161692619324},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.6484572291374207},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.6325240135192871},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5880568027496338},{"id":"https://openalex.org/keywords/sentence","display_name":"Sentence","score":0.5050826668739319},{"id":"https://openalex.org/keywords/phenomenon","display_name":"Phenomenon","score":0.4719844460487366},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.405384361743927},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4042855501174927},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3397994041442871},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29701536893844604},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.21212011575698853},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.1519201397895813},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.14879268407821655},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10677814483642578}],"concepts":[{"id":"https://openalex.org/C166374712","wikidata":"https://www.wikidata.org/wiki/Q209555","display_name":"Tautology (logic)","level":5,"score":0.7228161692619324},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.6484572291374207},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.6325240135192871},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5880568027496338},{"id":"https://openalex.org/C2777530160","wikidata":"https://www.wikidata.org/wiki/Q41796","display_name":"Sentence","level":2,"score":0.5050826668739319},{"id":"https://openalex.org/C50335755","wikidata":"https://www.wikidata.org/wiki/Q483247","display_name":"Phenomenon","level":2,"score":0.4719844460487366},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.405384361743927},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4042855501174927},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3397994041442871},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29701536893844604},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.21212011575698853},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.1519201397895813},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.14879268407821655},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10677814483642578},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"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/C3845977","wikidata":"https://www.wikidata.org/wiki/Q4826262","display_name":"Autoepistemic logic","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/jsl.7802070","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl.7802070","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"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 Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1368627060","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1368627060","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.8399999737739563}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W78146983","https://openalex.org/W1485672136","https://openalex.org/W1556453281","https://openalex.org/W1587799979","https://openalex.org/W1966953387","https://openalex.org/W1968578038","https://openalex.org/W1970069956","https://openalex.org/W2003293537","https://openalex.org/W2052953762","https://openalex.org/W2075746519","https://openalex.org/W2082844458","https://openalex.org/W2148962283","https://openalex.org/W2163841074","https://openalex.org/W2906785358","https://openalex.org/W2963030916","https://openalex.org/W4229690001"],"related_works":["https://openalex.org/W2373681119","https://openalex.org/W2389674975","https://openalex.org/W2360208354","https://openalex.org/W2383722245","https://openalex.org/W2385763746","https://openalex.org/W2350302137","https://openalex.org/W2367137811","https://openalex.org/W2388379119","https://openalex.org/W2373871648","https://openalex.org/W4300450609"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"reverse":[2],"mathematics,":[3],"it":[4],"is":[5,56],"possible":[6],"to":[7,23,29,43,83],"have":[8,24],"a":[9,60,75],"curious":[10],"situation":[11],"where":[12],"we":[13,73],"know":[14],"that":[15],"an":[16],"implication":[17],"does":[18],"not":[19],"reverse,":[20],"but":[21],"appear":[22],"no":[25],"information":[26],"on":[27,69],"how":[28],"weaken":[30],"the":[31,35,41,44,48,57,63,70,89],"assumption":[32],"while":[33],"preserving":[34],"conclusion":[36],"(other":[37],"than":[38],"reducing":[39],"all":[40],"way":[42],"tautology":[45],"of":[46,53,59,77,79,92],"assuming":[47],"conclusion).":[49],"A":[50],"main":[51],"cause":[52],"this":[54],"phenomenon":[55],"proof":[58],"sentence":[61],"from":[62],"theory":[64,94],".":[65],"Using":[66],"methods":[67],"based":[68],"functional":[71],"interpretation,":[72],"introduce":[74],"family":[76],"weakenings":[78],"and":[80,95],"use":[81],"them":[82],"give":[84],"new":[85],"upper":[86],"bounds":[87],"for":[88,98],"Nash-Williams":[90],"Theorem":[91,97],"wqo":[93],"Menger's":[96],"countable":[99],"graphs.":[100]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}