{"id":"https://openalex.org/W4407766251","doi":"https://doi.org/10.3390/axioms14030154","title":"An Analysis of the Continuum Hypothesis","display_name":"An Analysis of the Continuum Hypothesis","publication_year":2025,"publication_date":"2025-02-20","ids":{"openalex":"https://openalex.org/W4407766251","doi":"https://doi.org/10.3390/axioms14030154"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14030154","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030154","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms14030154","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083429200","display_name":"Andrew Powell","orcid":"https://orcid.org/0000-0002-3470-1038"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Andrew Powell","raw_affiliation_strings":["Institute for Security Science and Technology, Imperial College, South Kensington Campus, London SW7 2AZ, UK"],"affiliations":[{"raw_affiliation_string":"Institute for Security Science and Technology, Imperial College, South Kensington Campus, London SW7 2AZ, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5083429200"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07275542,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"3","first_page":"154","last_page":"154"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.8812999725341797,"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/T12504","display_name":"Mathematics and Applications","score":0.8812999725341797,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.873199999332428,"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/T12170","display_name":"History and Theory of Mathematics","score":0.859000027179718,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/epistemology","display_name":"Epistemology","score":0.3318304717540741},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.20445716381072998}],"concepts":[{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.3318304717540741},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.20445716381072998}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14030154","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030154","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:37bc2521d84548d9af69aae54f715893","is_oa":true,"landing_page_url":"https://doaj.org/article/37bc2521d84548d9af69aae54f715893","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 3, p 154 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14030154","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030154","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1154792232","https://openalex.org/W1539382740","https://openalex.org/W1554691866","https://openalex.org/W1699512023","https://openalex.org/W1967066310","https://openalex.org/W1995875735","https://openalex.org/W2036869460","https://openalex.org/W2041293108","https://openalex.org/W2111826656","https://openalex.org/W2115456387","https://openalex.org/W2464811683","https://openalex.org/W2616852454","https://openalex.org/W3159191542","https://openalex.org/W4230013745","https://openalex.org/W4230960895","https://openalex.org/W4239135533","https://openalex.org/W6691465300","https://openalex.org/W6719918583"],"related_works":["https://openalex.org/W3013226710","https://openalex.org/W2098269760","https://openalex.org/W2048944901","https://openalex.org/W4254774684","https://openalex.org/W2085477348","https://openalex.org/W2731985227","https://openalex.org/W2089855214","https://openalex.org/W2126984280","https://openalex.org/W4246752801","https://openalex.org/W2477989044"],"abstract_inverted_index":{"This":[0],"paper":[1],"analyzes":[2],"the":[3,7,21,24,27,37,44,50,53,69,72,80,83,87,126,157],"Continuum":[4,158],"Hypothesis,":[5],"that":[6,36,52,97,105,128,178],"cardinality":[8,25,70],"of":[9,12,26,29,59,62,65,71,79,82,89,92,122,143],"a":[10,63,76,90,100,110,115,120,140],"set":[11,28,64,73,91,121,173],"real":[13,31,38,66,116,123,137],"numbers":[14,39,46,67,124],"is":[15,99,106,118,130,148],"either":[16],"finite,":[17],"countably":[18],"infinite,":[19],"or":[20,154],"same":[22,84],"as":[23,41,47,109],"all":[30],"numbers.":[32],"It":[33],"argues":[34],"(i)":[35,181],"are":[40],"similar":[42],"to":[43,149,153,161,175],"natural":[45,77,93],"possible":[48],"in":[49,86,119,125,132,139],"sense":[51,127],"relationship":[54,85],"between":[55],"any":[56],"general":[57],"method":[58],"deciding":[60,113,133],"membership":[61,134],"and":[68,95,160,172,182],"should":[74],"be":[75],"generalization":[78],"case":[81,88],"numbers;":[94],"(ii)":[96],"CH":[98],"very":[101],"strong":[102],"choice":[103],"principle":[104,111],"maximally":[107],"efficient":[108],"for":[112,135],"whether":[114],"number":[117,138,142],"it":[129],"uniform":[131],"every":[136],"countable":[141],"steps.":[144],"The":[145],"approach":[146],"taken":[147],"formulate":[150],"principles":[151],"equivalent":[152],"weaker":[155],"than":[156],"Hypothesis":[159],"use":[162],"techniques":[163],"from":[164],"computer":[165],"science":[166],"(infinite":[167],"binary":[168],"search),":[169],"information":[170],"theory,":[171],"theory":[174],"prove":[176],"theorems":[177],"support":[179],"theses":[180],"(ii).":[183]},"counts_by_year":[],"updated_date":"2025-12-28T23:10:05.387466","created_date":"2025-10-10T00:00:00"}
