{"id":"https://openalex.org/W3019683039","doi":"https://doi.org/10.1080/00029890.2020.1715707","title":"Proof Techniques for the New Millennium","display_name":"Proof Techniques for the New Millennium","publication_year":2020,"publication_date":"2020-04-23","ids":{"openalex":"https://openalex.org/W3019683039","doi":"https://doi.org/10.1080/00029890.2020.1715707","mag":"3019683039"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2020.1715707","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2020.1715707","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/A5071624615","display_name":"Vadim Ponomarenko","orcid":"https://orcid.org/0000-0002-1174-3366"},"institutions":[{"id":"https://openalex.org/I26538001","display_name":"San Diego State University","ror":"https://ror.org/0264fdx42","country_code":"US","type":"education","lineage":["https://openalex.org/I26538001"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Vadim Ponomarenko","raw_affiliation_strings":["San Diego State University"],"affiliations":[{"raw_affiliation_string":"San Diego State University","institution_ids":["https://openalex.org/I26538001"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5071624615"],"corresponding_institution_ids":["https://openalex.org/I26538001"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07924107,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"127","issue":"5","first_page":"443","last_page":"443"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9168999791145325,"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":0.9168999791145325,"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/intimidation","display_name":"Intimidation","score":0.7972044944763184},{"id":"https://openalex.org/keywords/burden-of-proof","display_name":"Burden of proof","score":0.7222011089324951},{"id":"https://openalex.org/keywords/analytic-proof","display_name":"Analytic proof","score":0.5214459300041199},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.45409056544303894},{"id":"https://openalex.org/keywords/democracy","display_name":"Democracy","score":0.4492723047733307},{"id":"https://openalex.org/keywords/proof-of-concept","display_name":"Proof of concept","score":0.4302733540534973},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4117940068244934},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.40915602445602417},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.33690500259399414},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26794862747192383},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.22258836030960083},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.2099180519580841},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.20904487371444702},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.16987216472625732},{"id":"https://openalex.org/keywords/politics","display_name":"Politics","score":0.0803510844707489},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.06774938106536865},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05228719115257263}],"concepts":[{"id":"https://openalex.org/C2781164112","wikidata":"https://www.wikidata.org/wiki/Q3858303","display_name":"Intimidation","level":2,"score":0.7972044944763184},{"id":"https://openalex.org/C2777431735","wikidata":"https://www.wikidata.org/wiki/Q1535975","display_name":"Burden of proof","level":2,"score":0.7222011089324951},{"id":"https://openalex.org/C135754263","wikidata":"https://www.wikidata.org/wiki/Q4751136","display_name":"Analytic proof","level":3,"score":0.5214459300041199},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.45409056544303894},{"id":"https://openalex.org/C555826173","wikidata":"https://www.wikidata.org/wiki/Q7174","display_name":"Democracy","level":3,"score":0.4492723047733307},{"id":"https://openalex.org/C124978682","wikidata":"https://www.wikidata.org/wiki/Q1201019","display_name":"Proof of concept","level":2,"score":0.4302733540534973},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4117940068244934},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.40915602445602417},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.33690500259399414},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26794862747192383},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.22258836030960083},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.2099180519580841},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.20904487371444702},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.16987216472625732},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0803510844707489},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.06774938106536865},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05228719115257263},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"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:10.1080/00029890.2020.1715707","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2020.1715707","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/W2349405618","https://openalex.org/W2393453016","https://openalex.org/W3122865845","https://openalex.org/W1981603292","https://openalex.org/W2379326187","https://openalex.org/W2375627470","https://openalex.org/W2354521390","https://openalex.org/W2376254602","https://openalex.org/W2391230235","https://openalex.org/W4387322292"],"abstract_inverted_index":{"\u201cProof":[0],"by":[1,11,22],"intimidation\u201d":[2],"is":[3],"so":[4],"passe.":[5],"Instead,":[6],"try":[7],"one":[8],"of":[9],"these.Proof":[10],"clickbait:":[12],"One":[13],"weird":[14],"trick":[15],"proves":[16],"this":[17],"theorem.":[18],"Profs":[19],"hate":[20],"it!Proof":[21],"democracy:":[23],"This":[24],"theorem":[25],"will":[26],"be":[27],"true":[28],"after":[29],"1000":[30],"upvote...":[31]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}