{"id":"https://openalex.org/W2793689037","doi":"https://doi.org/10.1080/00029890.2018.1424430","title":"<font> is Not 1.41421356237 or Anything of the Sort</font>","display_name":"<font> is Not 1.41421356237 or Anything of the Sort</font>","publication_year":2018,"publication_date":"2018-03-22","ids":{"openalex":"https://openalex.org/W2793689037","doi":"https://doi.org/10.1080/00029890.2018.1424430","mag":"2793689037"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2018.1424430","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2018.1424430","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"},"type":"article","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/A5020450101","display_name":"Eli Leher","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Eli Leher","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5020450101"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06896552,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"125","issue":"4","first_page":"346","last_page":"346"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9836000204086304,"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"}},"topics":[{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9836000204086304,"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"}},{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9532999992370605,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/sort","display_name":"sort","score":0.8288190364837646},{"id":"https://openalex.org/keywords/irrationality","display_name":"Irrationality","score":0.7571703195571899},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.6179121136665344},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43168315291404724},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35983526706695557},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.31017544865608215},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.30321818590164185},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.24529242515563965},{"id":"https://openalex.org/keywords/rationality","display_name":"Rationality","score":0.12125727534294128},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.09729158878326416}],"concepts":[{"id":"https://openalex.org/C88548561","wikidata":"https://www.wikidata.org/wiki/Q347599","display_name":"sort","level":2,"score":0.8288190364837646},{"id":"https://openalex.org/C2777019708","wikidata":"https://www.wikidata.org/wiki/Q1412340","display_name":"Irrationality","level":3,"score":0.7571703195571899},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.6179121136665344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43168315291404724},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35983526706695557},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.31017544865608215},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.30321818590164185},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.24529242515563965},{"id":"https://openalex.org/C201717286","wikidata":"https://www.wikidata.org/wiki/Q938185","display_name":"Rationality","level":2,"score":0.12125727534294128},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.09729158878326416},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00029890.2018.1424430","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2018.1424430","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2339240151","https://openalex.org/W2026699385","https://openalex.org/W2379715095","https://openalex.org/W2917740599","https://openalex.org/W2928364590","https://openalex.org/W2393751025","https://openalex.org/W2041851878","https://openalex.org/W4250299898","https://openalex.org/W4224102236","https://openalex.org/W2307765361"],"abstract_inverted_index":{"Every":[0],"mathematician":[1],"knows":[2],"Euclid\u2019s":[3,23],"proof":[4],"of":[5,8],"the":[6],"irrationality":[7],",":[9,18],"but":[10],"many":[11],"calculus":[12],"students":[13],"believe":[14],"their":[15],"calculators":[16],"that":[17],"and":[19],"have":[20],"trouble":[21],"with":[22],"proof.":[24],"For":[25],"these":[26],"students,":[27],"here":[28],"is":[29],"a":[30],"sh...":[31]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2018-03-29T00:00:00"}
