{"id":"https://openalex.org/W2998035538","doi":"https://doi.org/10.48550/arxiv.1101.3578","title":"Infinity in computable probability","display_name":"Infinity in computable probability","publication_year":2011,"publication_date":"2011-01-18","ids":{"openalex":"https://openalex.org/W2998035538","doi":"https://doi.org/10.48550/arxiv.1101.3578","mag":"2998035538"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1101.3578","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1101.3578","pdf_url":"https://arxiv.org/pdf/1101.3578","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1101.3578","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063156268","display_name":"Maarten McKubre\u2010Jordens","orcid":"https://orcid.org/0000-0003-4229-6404","observed_orcids":["https://orcid.org/0000-0003-4229-6404"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"McKubre-Jordens, Maarten","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5059362809","display_name":"Phillip L. Wilson","orcid":"https://orcid.org/0000-0002-4563-9399","observed_orcids":["https://orcid.org/0000-0002-4563-9399"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wilson, Phillip L.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":null,"first_page":"1253","last_page":"1262"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9994999766349792,"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":0.9994999766349792,"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/T13500","display_name":"Probability and Statistical Research","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10126","display_name":"Logic, programming, and type systems","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/recursive-function-theory","display_name":"recursive function theory","score":0.6819999814033508}],"concepts":[{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.7235845923423767},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.5879389047622681},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4886782467365265},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48447537422180176},{"id":"https://openalex.org/C133462117","wikidata":"https://www.wikidata.org/wiki/Q4929239","display_name":"Data collection","level":2,"score":0.45414188504219055},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4526101350784302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43505096435546875},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3589567542076111},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.35284197330474854},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.349026620388031},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2478153109550476},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22206473350524902},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13144439458847046},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08636045455932617},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:1101.3578","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1101.3578","pdf_url":"https://arxiv.org/pdf/1101.3578","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.1101.3578","doi":"https://doi.org/10.48550/arxiv.1101.3578","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1101.3578","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"mag:2998035538","doi":null,"is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/journals/flap/flap6.html#McKubre-Jordens19","pdf_url":null,"source":{"id":"https://openalex.org/S4306510583","display_name":"FLAP","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"FLAP","raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1101.3578","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1101.3578","pdf_url":"https://arxiv.org/pdf/1101.3578","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Quality education","score":0.8399999737739563,"id":"https://metadata.un.org/sdg/4"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4403563716","https://openalex.org/W1969078420","https://openalex.org/W7098462489","https://openalex.org/W2047418775","https://openalex.org/W1990103540","https://openalex.org/W2061090477","https://openalex.org/W3043589254","https://openalex.org/W362988199","https://openalex.org/W2030205321","https://openalex.org/W2013122733"],"abstract_inverted_index":{"Does":[0],"combining":[1],"a":[2,14,56,92],"finite":[3,73],"collection":[4,31,74],"of":[5,13,28,32,38,71,75],"objects":[6],"infinitely":[7],"many":[8],"times":[9],"guarantee":[10],"the":[11,25,36,69],"construction":[12],"particular":[15],"object?":[16],"Here":[17],"we":[18],"use":[19],"recursive":[20],"function":[21],"theory":[22],"to":[23,44,50,86,97],"examine":[24],"popular":[26],"scenario":[27],"an":[29],"infinite":[30],"typing":[33,52],"monkeys":[34,76],"reproducing":[35],"works":[37],"Shakespeare.":[39],"Our":[40],"main":[41],"result":[42],"is":[43,48,61,79],"show":[45],"that":[46,58,63],"it":[47,60],"possible":[49],"assign":[51],"probabilities":[53],"in":[54],"such":[55],"way":[57],"while":[59],"impossible":[62],"no":[64],"monkey":[65],"reproduces":[66],"Shakespeare's":[67],"works,":[68],"probability":[70],"any":[72],"doing":[77],"so":[78],"arbitrarily":[80],"small.":[81],"We":[82],"extend":[83],"our":[84],"results":[85],"target-free":[87],"writing,":[88],"and":[89,95],"end":[90],"with":[91],"broad":[93],"discussion":[94],"pointers":[96],"future":[98],"work.":[99]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-09-29T14:09:16.559479","created_date":"2020-01-10T00:00:00"}
