{"id":"https://openalex.org/W2170685103","doi":"https://doi.org/10.2478/v10037-008-0026-y","title":"Ramsey's Theorem","display_name":"Ramsey's Theorem","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2170685103","doi":"https://doi.org/10.2478/v10037-008-0026-y","mag":"2170685103"},"language":"en","primary_location":{"id":"doi:10.2478/v10037-008-0026-y","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10037-008-0026-y","pdf_url":"https://sciendo.com/pdf/10.2478/v10037-008-0026-y","source":{"id":"https://openalex.org/S179241345","display_name":"Formalized Mathematics","issn_l":"1426-2630","issn":["1426-2630","1898-9934"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formalized Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://sciendo.com/pdf/10.2478/v10037-008-0026-y","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064400926","display_name":"Marco Riccardi","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Marco Riccardi","raw_affiliation_strings":["Casella Postale 49 54038 Montignoso, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Casella Postale 49 54038 Montignoso, Italy","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5064400926"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.18145497,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"16","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9843000173568726,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9843000173568726,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.932699978351593,"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":0.7989473938941956},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40760141611099243},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.355404257774353},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3515032231807709},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.33802613615989685},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24599522352218628}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7989473938941956},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40760141611099243},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.355404257774353},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3515032231807709},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.33802613615989685},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24599522352218628},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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":2,"locations":[{"id":"doi:10.2478/v10037-008-0026-y","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10037-008-0026-y","pdf_url":"https://sciendo.com/pdf/10.2478/v10037-008-0026-y","source":{"id":"https://openalex.org/S179241345","display_name":"Formalized Mathematics","issn_l":"1426-2630","issn":["1426-2630","1898-9934"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formalized Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4b3aa354c393489dabb9dd05b0f93ad5","is_oa":true,"landing_page_url":"https://doaj.org/article/4b3aa354c393489dabb9dd05b0f93ad5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Formalized Mathematics, Vol 16, Iss 2, Pp 203-205 (2008)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2478/v10037-008-0026-y","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10037-008-0026-y","pdf_url":"https://sciendo.com/pdf/10.2478/v10037-008-0026-y","source":{"id":"https://openalex.org/S179241345","display_name":"Formalized Mathematics","issn_l":"1426-2630","issn":["1426-2630","1898-9934"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formalized Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2170685103.pdf","grobid_xml":"https://content.openalex.org/works/W2170685103.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W180239714","https://openalex.org/W260340778","https://openalex.org/W1619732349","https://openalex.org/W2068028167","https://openalex.org/W2092476384","https://openalex.org/W2113575928","https://openalex.org/W2115474581","https://openalex.org/W2150348213","https://openalex.org/W2163641194","https://openalex.org/W3175502364","https://openalex.org/W4232456604","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"Ramsey's":[0,12,44],"TheoremThe":[1],"goal":[2],"of":[3,11,24,43,60],"this":[4],"article":[5],"is":[6],"to":[7],"formalize":[8],"two":[9],"versions":[10],"theorem.":[13],"The":[14,54],"theorems":[15],"are":[16],"not":[17],"phrased":[18],"in":[19,63],"the":[20,37,51,58,61],"usually":[21],"pictorial":[22],"representation":[23],"a":[25,30,41,64],"coloured":[26],"graph":[27],"but":[28],"use":[29],"set-theoretic":[31],"terminology.":[32],"After":[33],"some":[34],"useful":[35],"lemma,":[36],"second":[38],"section":[39,56],"presents":[40],"generalization":[42],"theorem":[45,62],"on":[46],"infinite":[47],"set":[48],"closely":[49],"following":[50],"book":[52],"[9].":[53],"last":[55],"includes":[57],"formalization":[59],"more":[65],"known":[66],"version":[67],"(see":[68],"[1]).MML":[69],"identifier:":[70],"RAMSEY":[71],"1,":[72],"version:":[73],"7.9.01":[74],"4.101.1015":[75]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
