{"id":"https://openalex.org/W2064908191","doi":"https://doi.org/10.2307/2275603","title":"Mathias absoluteness and the Ramsey property","display_name":"Mathias absoluteness and the Ramsey property","publication_year":1996,"publication_date":"1996-03-01","ids":{"openalex":"https://openalex.org/W2064908191","doi":"https://doi.org/10.2307/2275603","mag":"2064908191"},"language":"en","primary_location":{"id":"doi:10.2307/2275603","is_oa":true,"landing_page_url":"https://doi.org/10.2307/2275603","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/EB2597B0220A689C4FF2C21B078813CF/S0022481200017692a.pdf/div-class-title-mathias-absoluteness-and-the-ramsey-property-div.pdf","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","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/EB2597B0220A689C4FF2C21B078813CF/S0022481200017692a.pdf/div-class-title-mathias-absoluteness-and-the-ramsey-property-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006815009","display_name":"Lorenz Halbe\u0131sen","orcid":"https://orcid.org/0000-0001-6078-7237"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Lorenz Halbeisen","raw_affiliation_strings":["Departement Mathematik, ETH Zentrum, 8092 Z\u00fcrich, Switzerland, E-mail:","Departement Mathematik, ETH Zentrum, 8092 Z\u00fcrich, Switzerland, E-mail: halbeis@math.ethz.ch"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departement Mathematik, ETH Zentrum, 8092 Z\u00fcrich, Switzerland, E-mail:","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Departement Mathematik, ETH Zentrum, 8092 Z\u00fcrich, Switzerland, E-mail: halbeis@math.ethz.ch","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075259946","display_name":"Haim Judah","orcid":null},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Haim Judah","raw_affiliation_strings":["Department of Mathematics, Bar-Ilan University, 52900 Ramat Gan, Israel, E-mail:","Department of Mathematics, Bar Ilan University, 52900 Ramat Gan, Israel, E-mail: judah@bimacs.cs.biu.ac.il"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bar-Ilan University, 52900 Ramat Gan, Israel, E-mail:","institution_ids":["https://openalex.org/I13955877"]},{"raw_affiliation_string":"Department of Mathematics, Bar Ilan University, 52900 Ramat Gan, Israel, E-mail: judah@bimacs.cs.biu.ac.il","institution_ids":["https://openalex.org/I13955877"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4901,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.63720383,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"61","issue":"1","first_page":"177","last_page":"194"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998000264167786,"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":0.9998000264167786,"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":0.993399977684021,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9797999858856201,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/absoluteness","display_name":"Absoluteness","score":0.9449191093444824},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.826706051826477},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.8002349138259888},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7107886672019958},{"id":"https://openalex.org/keywords/ramseys-theorem","display_name":"Ramsey's theorem","score":0.6136874556541443},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5864723920822144},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.459392786026001},{"id":"https://openalex.org/keywords/lebesgue-integration","display_name":"Lebesgue integration","score":0.43727123737335205},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43692517280578613},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12739700078964233},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.07328468561172485},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.06955534219741821},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.06631264090538025},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05115789175033569}],"concepts":[{"id":"https://openalex.org/C2780102774","wikidata":"https://www.wikidata.org/wiki/Q4669873","display_name":"Absoluteness","level":2,"score":0.9449191093444824},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.826706051826477},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.8002349138259888},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7107886672019958},{"id":"https://openalex.org/C44115641","wikidata":"https://www.wikidata.org/wiki/Q918099","display_name":"Ramsey's theorem","level":3,"score":0.6136874556541443},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5864723920822144},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.459392786026001},{"id":"https://openalex.org/C14158598","wikidata":"https://www.wikidata.org/wiki/Q853831","display_name":"Lebesgue integration","level":2,"score":0.43727123737335205},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43692517280578613},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12739700078964233},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.07328468561172485},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.06955534219741821},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.06631264090538025},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05115789175033569},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.2307/2275603","is_oa":true,"landing_page_url":"https://doi.org/10.2307/2275603","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/EB2597B0220A689C4FF2C21B078813CF/S0022481200017692a.pdf/div-class-title-mathias-absoluteness-and-the-ramsey-property-div.pdf","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/1183744932","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183744932","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.43.5965","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.43.5965","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.berkeley.edu/~halbeis/psf/ram.ps","raw_type":"text"},{"id":"pmh:oai:doc.rero.ch:303179","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400148","display_name":"reroDoc Digital Library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:www.research-collection.ethz.ch:20.500.11850/423099","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/423099","pdf_url":null,"source":{"id":"https://openalex.org/S4306402302","display_name":"Repository for Publications and Research Data (ETH Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35440088","host_organization_name":"ETH Zurich","host_organization_lineage":["https://openalex.org/I35440088"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The Journal of Symbolic Logic, 61 (1)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"doi:10.3929/ethz-b-000423099","is_oa":true,"landing_page_url":"https://doi.org/10.3929/ethz-b-000423099","pdf_url":null,"source":{"id":"https://openalex.org/S7407051236","display_name":"ETH Z\u00fcrich Research Collection","issn_l":null,"issn":[],"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.2307/2275603","is_oa":true,"landing_page_url":"https://doi.org/10.2307/2275603","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/EB2597B0220A689C4FF2C21B078813CF/S0022481200017692a.pdf/div-class-title-mathias-absoluteness-and-the-ramsey-property-div.pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320878","display_name":"Minerva Foundation","ror":"https://ror.org/02rxjts25"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2064908191.pdf","grobid_xml":"https://content.openalex.org/works/W2064908191.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W246036945","https://openalex.org/W1843798910","https://openalex.org/W1978413491","https://openalex.org/W1996516812","https://openalex.org/W2035501774","https://openalex.org/W2048227119","https://openalex.org/W2059752730","https://openalex.org/W2063453390","https://openalex.org/W2161105128","https://openalex.org/W4211074246","https://openalex.org/W4235121800"],"related_works":["https://openalex.org/W4286816173","https://openalex.org/W2949695231","https://openalex.org/W2106142172","https://openalex.org/W2030570356","https://openalex.org/W1513191254","https://openalex.org/W137873688","https://openalex.org/W2913228604","https://openalex.org/W2104913734","https://openalex.org/W2280165579","https://openalex.org/W2748449745"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"article":[3],"we":[4,38],"give":[5],"a":[6],"forcing":[7,24,47],"characterization":[8],"for":[9,26],"the":[10,22,30,41,50],"Ramsey":[11,51],"property":[12,32,52],"of":[13,15,33,35,46,53,56],"-Sets":[14],"reals.":[16,36,57],"This":[17],"research":[18],"was":[19],"motivated":[20],"by":[21],"well-known":[23],"characterizations":[25],"Lebesgue":[27],"measurability":[28],"and":[29,49],"Baire":[31],"-sets":[34],"Further":[37],"will":[39],"show":[40],"relationship":[42],"between":[43],"higher":[44],"degrees":[45],"absoluteness":[48],"projective":[54],"sets":[55]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
