{"id":"https://openalex.org/W1598461009","doi":"https://doi.org/10.1007/978-3-642-03079-6_6","title":"Human Being and Mathematics Logical and Mathematical Thinking","display_name":"Human Being and Mathematics Logical and Mathematical Thinking","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1598461009","doi":"https://doi.org/10.1007/978-3-642-03079-6_6","mag":"1598461009"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-03079-6_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03079-6_6","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","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/A5108689631","display_name":"Rudolf Wille","orcid":null},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technical University of Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Rudolf Wille","raw_affiliation_strings":["Fachbereich Mathematik, Technische Universit\u00e4t Darmstadt, Schlo\u00dfgartenstr. 7, D\u201364289, Darmstadt"],"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Technische Universit\u00e4t Darmstadt, Schlo\u00dfgartenstr. 7, D\u201364289, Darmstadt","institution_ids":["https://openalex.org/I31512782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108689631"],"corresponding_institution_ids":["https://openalex.org/I31512782"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.1386109,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"66","last_page":"85"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10215","display_name":"Semantic Web and Ontologies","score":0.9718999862670898,"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"}},"topics":[{"id":"https://openalex.org/T10215","display_name":"Semantic Web and Ontologies","score":0.9718999862670898,"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"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9373000264167786,"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/T12170","display_name":"History and Theory of Mathematics","score":0.9247000217437744,"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/logical-reasoning","display_name":"Logical reasoning","score":0.7293044328689575},{"id":"https://openalex.org/keywords/pragmatism","display_name":"Pragmatism","score":0.6812177300453186},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5672866106033325},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.5459328293800354},{"id":"https://openalex.org/keywords/logical-conjunction","display_name":"Logical conjunction","score":0.530299186706543},{"id":"https://openalex.org/keywords/cognitive-science","display_name":"Cognitive science","score":0.5209221243858337},{"id":"https://openalex.org/keywords/parallel-thinking","display_name":"Parallel thinking","score":0.5153452754020691},{"id":"https://openalex.org/keywords/lateral-thinking","display_name":"Lateral thinking","score":0.5071594715118408},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.4800459146499634},{"id":"https://openalex.org/keywords/vertical-thinking","display_name":"Vertical thinking","score":0.45896291732788086},{"id":"https://openalex.org/keywords/deductive-reasoning","display_name":"Deductive reasoning","score":0.4308076500892639},{"id":"https://openalex.org/keywords/convergent-thinking","display_name":"Convergent thinking","score":0.2807760238647461},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.277159720659256},{"id":"https://openalex.org/keywords/critical-thinking","display_name":"Critical thinking","score":0.25609076023101807},{"id":"https://openalex.org/keywords/creative-thinking","display_name":"Creative thinking","score":0.2271403670310974},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.21547681093215942},{"id":"https://openalex.org/keywords/critical-systems-thinking","display_name":"Critical systems thinking","score":0.21256211400032043},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.18087005615234375},{"id":"https://openalex.org/keywords/creativity","display_name":"Creativity","score":0.11546856164932251},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09733796119689941}],"concepts":[{"id":"https://openalex.org/C43971567","wikidata":"https://www.wikidata.org/wiki/Q3142865","display_name":"Logical reasoning","level":2,"score":0.7293044328689575},{"id":"https://openalex.org/C158573231","wikidata":"https://www.wikidata.org/wiki/Q126692","display_name":"Pragmatism","level":2,"score":0.6812177300453186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5672866106033325},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.5459328293800354},{"id":"https://openalex.org/C21847791","wikidata":"https://www.wikidata.org/wiki/Q191081","display_name":"Logical conjunction","level":2,"score":0.530299186706543},{"id":"https://openalex.org/C188147891","wikidata":"https://www.wikidata.org/wiki/Q147638","display_name":"Cognitive science","level":1,"score":0.5209221243858337},{"id":"https://openalex.org/C102940268","wikidata":"https://www.wikidata.org/wiki/Q4311908","display_name":"Parallel thinking","level":4,"score":0.5153452754020691},{"id":"https://openalex.org/C162100613","wikidata":"https://www.wikidata.org/wiki/Q944461","display_name":"Lateral thinking","level":4,"score":0.5071594715118408},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.4800459146499634},{"id":"https://openalex.org/C161167727","wikidata":"https://www.wikidata.org/wiki/Q6111847","display_name":"Vertical thinking","level":5,"score":0.45896291732788086},{"id":"https://openalex.org/C97364631","wikidata":"https://www.wikidata.org/wiki/Q484284","display_name":"Deductive reasoning","level":2,"score":0.4308076500892639},{"id":"https://openalex.org/C171560490","wikidata":"https://www.wikidata.org/wiki/Q3374857","display_name":"Convergent thinking","level":4,"score":0.2807760238647461},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.277159720659256},{"id":"https://openalex.org/C533356498","wikidata":"https://www.wikidata.org/wiki/Q843894","display_name":"Critical thinking","level":2,"score":0.25609076023101807},{"id":"https://openalex.org/C2988206411","wikidata":"https://www.wikidata.org/wiki/Q170658","display_name":"Creative thinking","level":3,"score":0.2271403670310974},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.21547681093215942},{"id":"https://openalex.org/C108867877","wikidata":"https://www.wikidata.org/wiki/Q5186773","display_name":"Critical systems thinking","level":3,"score":0.21256211400032043},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.18087005615234375},{"id":"https://openalex.org/C11012388","wikidata":"https://www.wikidata.org/wiki/Q170658","display_name":"Creativity","level":2,"score":0.11546856164932251},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09733796119689941},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-03079-6_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03079-6_6","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W48584382","https://openalex.org/W126495357","https://openalex.org/W207164616","https://openalex.org/W335144045","https://openalex.org/W1166927269","https://openalex.org/W1484013926","https://openalex.org/W1486545284","https://openalex.org/W1488332601","https://openalex.org/W1489185267","https://openalex.org/W1493596129","https://openalex.org/W1503729935","https://openalex.org/W1504051962","https://openalex.org/W1507010574","https://openalex.org/W1535624063","https://openalex.org/W1550610813","https://openalex.org/W1563590311","https://openalex.org/W1578044518","https://openalex.org/W1580631495","https://openalex.org/W1588190365","https://openalex.org/W1633718834","https://openalex.org/W1790062403","https://openalex.org/W1827675272","https://openalex.org/W1838866020","https://openalex.org/W2007972880","https://openalex.org/W2013471485","https://openalex.org/W2029691488","https://openalex.org/W2054841314","https://openalex.org/W2076569589","https://openalex.org/W2077898313","https://openalex.org/W2087730581","https://openalex.org/W2115547109","https://openalex.org/W2119295461","https://openalex.org/W2168384464","https://openalex.org/W2202297506","https://openalex.org/W2477674962","https://openalex.org/W2481655731","https://openalex.org/W2487573296","https://openalex.org/W2489812339","https://openalex.org/W2493782907","https://openalex.org/W2501061182","https://openalex.org/W2525590988","https://openalex.org/W2599092460","https://openalex.org/W2772842820","https://openalex.org/W3126321889","https://openalex.org/W4238010828","https://openalex.org/W4255318870","https://openalex.org/W4285719527","https://openalex.org/W4298337853"],"related_works":["https://openalex.org/W2377499949","https://openalex.org/W2355212504","https://openalex.org/W2382077586","https://openalex.org/W2355672063","https://openalex.org/W2356257086","https://openalex.org/W2369705989","https://openalex.org/W2374070172","https://openalex.org/W2356976330","https://openalex.org/W2068348440","https://openalex.org/W2376220853"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}