{"id":"https://openalex.org/W4284976574","doi":"https://doi.org/10.1007/s00153-022-00829-3","title":"A few more dissimilarities between second-order arithmetic and set theory","display_name":"A few more dissimilarities between second-order arithmetic and set theory","publication_year":2022,"publication_date":"2022-07-09","ids":{"openalex":"https://openalex.org/W4284976574","doi":"https://doi.org/10.1007/s00153-022-00829-3"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-022-00829-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-022-00829-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-022-00829-3.pdf","source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00153-022-00829-3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003795152","display_name":"Kentaro Fujimoto","orcid":"https://orcid.org/0000-0002-4830-5861"},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Kentaro Fujimoto","raw_affiliation_strings":["University of Bristol, Bristol, UK"],"raw_orcid":"https://orcid.org/0000-0002-4830-5861","affiliations":[{"raw_affiliation_string":"University of Bristol, Bristol, UK","institution_ids":["https://openalex.org/I36234482"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003795152"],"corresponding_institution_ids":["https://openalex.org/I36234482"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.287,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.56928298,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"62","issue":"1-2","first_page":"147","last_page":"206"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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/T11567","display_name":"semigroups and automata theory","score":0.9894000291824341,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9785000085830688,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8125473856925964},{"id":"https://openalex.org/keywords/second-order-arithmetic","display_name":"Second-order arithmetic","score":0.6881352663040161},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6782957315444946},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6302767395973206},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5542758703231812},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5130335092544556},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5072236061096191},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.4901791214942932},{"id":"https://openalex.org/keywords/affine-arithmetic","display_name":"Affine arithmetic","score":0.44201287627220154},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.428554505109787},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32306593656539917},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25680267810821533},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1384301483631134},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12545868754386902},{"id":"https://openalex.org/keywords/peano-axioms","display_name":"Peano axioms","score":0.0864054262638092}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8125473856925964},{"id":"https://openalex.org/C65148605","wikidata":"https://www.wikidata.org/wiki/Q7442973","display_name":"Second-order arithmetic","level":3,"score":0.6881352663040161},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6782957315444946},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6302767395973206},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5542758703231812},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5130335092544556},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5072236061096191},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.4901791214942932},{"id":"https://openalex.org/C167315692","wikidata":"https://www.wikidata.org/wiki/Q3622729","display_name":"Affine arithmetic","level":3,"score":0.44201287627220154},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.428554505109787},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32306593656539917},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25680267810821533},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1384301483631134},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12545868754386902},{"id":"https://openalex.org/C97489613","wikidata":"https://www.wikidata.org/wiki/Q842755","display_name":"Peano axioms","level":2,"score":0.0864054262638092},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00153-022-00829-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-022-00829-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-022-00829-3.pdf","source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"},{"id":"pmh:oai:research-information.bris.ac.uk:openaire_cris_publications/06597150-7d51-4fc1-8f10-1536ca61b532","is_oa":true,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/06597150-7d51-4fc1-8f10-1536ca61b532","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fujimoto, K 2023, 'A few more dissimilarities between second-order arithmetic and set theory', Archive for Mathematical Logic, vol. 62, pp. 147-206. https://doi.org/10.1007/s00153-022-00829-3","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:research-information.bris.ac.uk:openaire_cris_publications/06597150-7d51-4fc1-8f10-1536ca61b532","is_oa":true,"landing_page_url":"https://hdl.handle.net/1983/06597150-7d51-4fc1-8f10-1536ca61b532","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"doi:10.1007/s00153-022-00829-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-022-00829-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-022-00829-3.pdf","source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4284976574.pdf","grobid_xml":"https://content.openalex.org/works/W4284976574.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W45321844","https://openalex.org/W1507970960","https://openalex.org/W1572451808","https://openalex.org/W1574937548","https://openalex.org/W1970376600","https://openalex.org/W1976807840","https://openalex.org/W2004519519","https://openalex.org/W2048873161","https://openalex.org/W2052199430","https://openalex.org/W2058431170","https://openalex.org/W2064882914","https://openalex.org/W2077992970","https://openalex.org/W2143083142","https://openalex.org/W2155734270","https://openalex.org/W2214277948","https://openalex.org/W2895863840","https://openalex.org/W2906785358","https://openalex.org/W3127139978","https://openalex.org/W4214570239","https://openalex.org/W4229690001","https://openalex.org/W4293117209","https://openalex.org/W6683041724"],"related_works":["https://openalex.org/W2181927644","https://openalex.org/W1531645310","https://openalex.org/W2083774956","https://openalex.org/W2756505297","https://openalex.org/W2078971842","https://openalex.org/W2158464203","https://openalex.org/W1577151476","https://openalex.org/W2621982369","https://openalex.org/W3196847358","https://openalex.org/W3201286299"],"abstract_inverted_index":{"Abstract":[0],"Second-order":[1],"arithmetic":[2,16,51],"and":[3,17,52,55],"class":[4,42,53],"theory":[5],"are":[6],"second-order":[7,50],"theories":[8],"of":[9,12],"mathematical":[10,31],"subjects":[11],"foundational":[13],"importance,":[14],"namely,":[15],"set":[18],"theory.":[19],"Despite":[20],"the":[21],"similarity":[22],"in":[23,41],"appearance,":[24],"there":[25],"turned":[26],"out":[27],"to":[28],"be":[29],"significant":[30],"dissimilarities":[32,60],"between":[33,49,61],"them.":[34,62],"The":[35],"present":[36],"paper":[37],"studies":[38],"various":[39],"principles":[40],"theory,":[43,54],"from":[44],"such":[45],"a":[46,57],"comparative":[47],"perspective":[48],"presents":[56],"few":[58],"new":[59]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
