{"id":"https://openalex.org/W2129658725","doi":"https://doi.org/10.1305/ndjfl/1093634481","title":"What evidence is there that 2^65536 is a natural number?","display_name":"What evidence is there that 2^65536 is a natural number?","publication_year":1992,"publication_date":"1992-09-01","ids":{"openalex":"https://openalex.org/W2129658725","doi":"https://doi.org/10.1305/ndjfl/1093634481","mag":"2129658725"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093634481","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093634481","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-33/issue-4/What-evidence-is-there-that-265536-is-a-natural-number/10.1305/ndjfl/1093634481.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-33/issue-4/What-evidence-is-there-that-265536-is-a-natural-number/10.1305/ndjfl/1093634481.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021283678","display_name":"David Isles","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"David Isles","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021283678"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8577,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.86417126,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"33","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.8708999752998352,"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":0.8708999752998352,"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/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.8112000226974487,"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/T12170","display_name":"History and Theory of Mathematics","score":0.7401999831199646,"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/natural","display_name":"Natural (archaeology)","score":0.5992769598960876},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.5102646350860596},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4035971462726593},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.38385218381881714},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21914899349212646},{"id":"https://openalex.org/keywords/history","display_name":"History","score":0.17048504948616028},{"id":"https://openalex.org/keywords/archaeology","display_name":"Archaeology","score":0.05649012327194214}],"concepts":[{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.5992769598960876},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.5102646350860596},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4035971462726593},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.38385218381881714},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21914899349212646},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.17048504948616028},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.05649012327194214}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1305/ndjfl/1093634481","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093634481","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-33/issue-4/What-evidence-is-there-that-265536-is-a-natural-number/10.1305/ndjfl/1093634481.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.ndjfl/1093634481","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093634481","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":{"id":"doi:10.1305/ndjfl/1093634481","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093634481","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-33/issue-4/What-evidence-is-there-that-265536-is-a-natural-number/10.1305/ndjfl/1093634481.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2129658725.pdf","grobid_xml":"https://content.openalex.org/works/W2129658725.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W648423013","https://openalex.org/W1483568252","https://openalex.org/W1593222164","https://openalex.org/W1968275191","https://openalex.org/W2321135048","https://openalex.org/W2326972230","https://openalex.org/W2991059803","https://openalex.org/W2998385477","https://openalex.org/W6642130864","https://openalex.org/W6770697623"],"related_works":["https://openalex.org/W2748952813","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/W2130486673"],"abstract_inverted_index":{"The":[0,21],"closure":[1,28],"of":[2,36,49],"the":[3],"natural":[4],"numbers":[5],"under":[6],"exponentiation":[7],"a":[8,12,30,44],"A":[9],"b":[10],"is":[11,15],"fact":[13],"which":[14,23],"central":[16],"to":[17,25],"results":[18],"in":[19],"metamathematics.":[20],"argument":[22],"purports":[24],"establish":[26],"this":[27,37],"involves":[29],"simple":[31],"mathematical":[32],"induction.":[33],"An":[34],"analysis":[35],"proof":[38],"shows":[39],"that":[40],"it":[41],"may":[42],"involve":[43],"new":[45],"and":[46],"subtle":[47],"form":[48],"circularity.":[50]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}