{"id":"https://openalex.org/W109836841","doi":"https://doi.org/10.1007/978-1-4471-3427-5_7","title":"Penrose\u2019s Philosophical Error","display_name":"Penrose\u2019s Philosophical Error","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W109836841","doi":"https://doi.org/10.1007/978-1-4471-3427-5_7","mag":"109836841"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4471-3427-5_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4471-3427-5_7","pdf_url":null,"source":{"id":"https://openalex.org/S4210236473","display_name":"Perspectives in neural computing","issn_l":"1431-6854","issn":["1431-6854"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Perspectives in Neural Computing","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041402421","display_name":"L. J. Landau","orcid":null},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"L. J. Landau","raw_affiliation_strings":["Department of Mathematics, King\u2019s College London, UK","Department of Mathematics, King's College London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, King\u2019s College London, UK","institution_ids":["https://openalex.org/I183935753"]},{"raw_affiliation_string":"Department of Mathematics, King's College London, UK","institution_ids":["https://openalex.org/I183935753"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041402421"],"corresponding_institution_ids":["https://openalex.org/I183935753"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.05047081,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"171","last_page":"223"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9993000030517578,"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":0.9993000030517578,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9596999883651733,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9537000060081482,"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/wonder","display_name":"Wonder","score":0.6657873392105103},{"id":"https://openalex.org/keywords/embodied-cognition","display_name":"Embodied cognition","score":0.6297452449798584},{"id":"https://openalex.org/keywords/turing","display_name":"Turing","score":0.6222051382064819},{"id":"https://openalex.org/keywords/turing-machine","display_name":"Turing machine","score":0.5802252292633057},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.5686642527580261},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5258674621582031},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5029224753379822},{"id":"https://openalex.org/keywords/cognitive-science","display_name":"Cognitive science","score":0.4791116714477539},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.46488261222839355},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4408141076564789},{"id":"https://openalex.org/keywords/mathematical-practice","display_name":"Mathematical practice","score":0.43824371695518494},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4162895083427429},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32510465383529663},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2874637842178345},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.24806660413742065},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22057747840881348},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.19542670249938965},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09839585423469543},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08135387301445007}],"concepts":[{"id":"https://openalex.org/C2780573756","wikidata":"https://www.wikidata.org/wiki/Q977433","display_name":"Wonder","level":2,"score":0.6657873392105103},{"id":"https://openalex.org/C100609095","wikidata":"https://www.wikidata.org/wiki/Q1335050","display_name":"Embodied cognition","level":2,"score":0.6297452449798584},{"id":"https://openalex.org/C9870796","wikidata":"https://www.wikidata.org/wiki/Q490481","display_name":"Turing","level":2,"score":0.6222051382064819},{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.5802252292633057},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.5686642527580261},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5258674621582031},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5029224753379822},{"id":"https://openalex.org/C188147891","wikidata":"https://www.wikidata.org/wiki/Q147638","display_name":"Cognitive science","level":1,"score":0.4791116714477539},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.46488261222839355},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4408141076564789},{"id":"https://openalex.org/C2780506305","wikidata":"https://www.wikidata.org/wiki/Q3909934","display_name":"Mathematical practice","level":2,"score":0.43824371695518494},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4162895083427429},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32510465383529663},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2874637842178345},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.24806660413742065},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22057747840881348},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.19542670249938965},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09839585423469543},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08135387301445007},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4471-3427-5_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4471-3427-5_7","pdf_url":null,"source":{"id":"https://openalex.org/S4210236473","display_name":"Perspectives in neural computing","issn_l":"1431-6854","issn":["1431-6854"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Perspectives in Neural Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.550000011920929}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W145756981","https://openalex.org/W637144538","https://openalex.org/W1486714849","https://openalex.org/W1523575811","https://openalex.org/W1533733939","https://openalex.org/W1965462762","https://openalex.org/W1970067515","https://openalex.org/W1970654545","https://openalex.org/W2003382651","https://openalex.org/W2049954896","https://openalex.org/W2069267853","https://openalex.org/W2070646413","https://openalex.org/W2089731668","https://openalex.org/W2094542439","https://openalex.org/W2121211200","https://openalex.org/W2145482038","https://openalex.org/W2323749923","https://openalex.org/W2482933639","https://openalex.org/W2483494328","https://openalex.org/W2492075068","https://openalex.org/W2996831511","https://openalex.org/W4210930197","https://openalex.org/W4245511121","https://openalex.org/W4247585886","https://openalex.org/W4251454430","https://openalex.org/W4289370865","https://openalex.org/W4291166496","https://openalex.org/W4375819112","https://openalex.org/W6632321224","https://openalex.org/W6811317797"],"related_works":["https://openalex.org/W2119244842","https://openalex.org/W4285436350","https://openalex.org/W4324016496","https://openalex.org/W2215138167","https://openalex.org/W4254404873","https://openalex.org/W4231495498","https://openalex.org/W4312201671","https://openalex.org/W2621831792","https://openalex.org/W2090113742","https://openalex.org/W2053429109"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}