{"id":"https://openalex.org/W2070829927","doi":"https://doi.org/10.2178/jsl/1052669064","title":"Classification theory and 0#","display_name":"Classification theory and 0#","publication_year":2003,"publication_date":"2003-06-01","ids":{"openalex":"https://openalex.org/W2070829927","doi":"https://doi.org/10.2178/jsl/1052669064","mag":"2070829927"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1052669064","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1052669064","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":"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/A5110295341","display_name":"Sy D. Friedman","orcid":null},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Sy D. Friedman","raw_affiliation_strings":["Institute for Logic, University of Vienna, Waehringer Strasse 25, A-1090 Vienna, Austria, E-mail:","Univ. of Vienna#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Logic, University of Vienna, Waehringer Strasse 25, A-1090 Vienna, Austria, E-mail:","institution_ids":["https://openalex.org/I129774422"]},{"raw_affiliation_string":"Univ. of Vienna#TAB#","institution_ids":["https://openalex.org/I129774422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064743484","display_name":"Tapani Hyttinen","orcid":"https://orcid.org/0000-0002-5125-3839"},"institutions":[{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"education","lineage":["https://openalex.org/I133731052"]},{"id":"https://openalex.org/I2800229700","display_name":"Helsinki Institute of Physics","ror":"https://ror.org/01x2x1522","country_code":"FI","type":"facility","lineage":["https://openalex.org/I133731052","https://openalex.org/I2800229700","https://openalex.org/I63548447","https://openalex.org/I94722563","https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Tapani Hyttinen","raw_affiliation_strings":["Department of Mathematics, University of Helsinki, P.O.Box 4, 00014 HelsinkiFinland, E-mail:","#N##TAB##TAB##TAB##TAB# University of Helsinki#N##TAB##TAB##TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Helsinki, P.O.Box 4, 00014 HelsinkiFinland, E-mail:","institution_ids":["https://openalex.org/I133731052","https://openalex.org/I2800229700"]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# University of Helsinki#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I133731052"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025061390","display_name":"Mika Rautila","orcid":null},"institutions":[{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"education","lineage":["https://openalex.org/I133731052"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Mika Rautila","raw_affiliation_strings":["Department of Mathematics, University of Helsinki, P.O.Box 4, 00014 HelsinkiFinland","Stonesoft Corporation, It\u00e4lahdenkatu 22 A, 00210 HelsinkiFinland","#N##TAB##TAB##TAB##TAB# University of Helsinki#N##TAB##TAB##TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Helsinki, P.O.Box 4, 00014 HelsinkiFinland","institution_ids":["https://openalex.org/I133731052"]},{"raw_affiliation_string":"Stonesoft Corporation, It\u00e4lahdenkatu 22 A, 00210 HelsinkiFinland","institution_ids":[]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# University of Helsinki#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I133731052"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.3909,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.57437673,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"68","issue":"2","first_page":"580","last_page":"588"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T13234","display_name":"advanced mathematical theories","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.8885626196861267},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.7520198822021484},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.549674391746521},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49843645095825195},{"id":"https://openalex.org/keywords/order-theory","display_name":"Order theory","score":0.41468656063079834},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3548663556575775},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3444940745830536},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3436993956565857},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08585810661315918},{"id":"https://openalex.org/keywords/crystallography","display_name":"Crystallography","score":0.059181541204452515}],"concepts":[{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.8885626196861267},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.7520198822021484},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.549674391746521},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49843645095825195},{"id":"https://openalex.org/C33135215","wikidata":"https://www.wikidata.org/wiki/Q24175351","display_name":"Order theory","level":2,"score":0.41468656063079834},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3548663556575775},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3444940745830536},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3436993956565857},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08585810661315918},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.059181541204452515},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"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":2,"locations":[{"id":"doi:10.2178/jsl/1052669064","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1052669064","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":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1052669064","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1052669064","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2024445326","https://openalex.org/W2030542758","https://openalex.org/W2053265745","https://openalex.org/W2058437827","https://openalex.org/W2081441842","https://openalex.org/W2100246841","https://openalex.org/W4250879870","https://openalex.org/W6821132299"],"related_works":["https://openalex.org/W1631776469","https://openalex.org/W2950866767","https://openalex.org/W2091162291","https://openalex.org/W3010831302","https://openalex.org/W2541640833","https://openalex.org/W4206367340","https://openalex.org/W2086359902","https://openalex.org/W1587340481","https://openalex.org/W4283328073","https://openalex.org/W2094354112"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"characterize":[2],"the":[3,14,17,22],"classifiability":[4],"of":[5,13,19,21,27],"a":[6],"countable":[7],"first-order":[8],"theory":[9],"T":[10],"in":[11],"terms":[12],"solvability":[15],"(in":[16],"sense":[18],"[2])":[20],"potential-isomorphism":[23],"problem":[24],"for":[25],"models":[26],"T.":[28]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2016-06-24T00:00:00"}