About: Criticism of nonstandard analysis

Property	Value
dbo:abstract	Nonstandard analysis and its offshoot, nonstandard calculus, have been criticized by several authors, notably Errett Bishop, Paul Halmos, and Alain Connes. These criticisms are analyzed below. (en) L'analisi non standard e il , da essa derivato, sono stati criticati da diversi autori, in particolare , Paul Halmos e Alain Connes. Di seguito sono analizzate tali critiche. (it)
dbo:wikiPageExternalLink	http://math.stanford.edu/~feferman/papers/relationships.pdf http://www.math.umt.edu/TMME/vol7no1/ https://web.archive.org/web/20110720095125/http:/www.math.umt.edu/TMME/vol7no1/ http://www.mcps.umn.edu/assets/pdf/11_ModernMath.pdf http://www.math.nsc.ru/LBRT/g2/english/ssk/teaching_e.html http://www.alainconnes.org/docs/reality.pdf http://www.warwick.ac.uk/staff/David.Tall/pdfs/dot1980c-intuitive-infls.pdf%7Ctitle=Intuitive http://projecteuclid.org/euclid.bams/1183538669%7Cvolume= http://projecteuclid.org/euclid.bams/1183539465%7Cdoi=10.1090/S0002-9904-1977-14357-7%7Cdoi-access=free http://www.numdam.org/article/SB_1995-1996__38__313_0.pdf http://www.math.wisc.edu/~keisler/calc.html
dbo:wikiPageID	19172369 (xsd:integer)
dbo:wikiPageLength	28281 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID	1111862256 (xsd:integer)
dbo:wikiPageWikiLink	dbr:Quantum_mechanics dbr:Elementary_Calculus:_An_Infinitesimal_Approach dbr:Archive_for_History_of_Exact_Sciences dbr:Howard_Jerome_Keisler dbr:Paul_Halmos dbr:Influence_of_nonstandard_analysis dbr:Intellectica dbr:Internal_set_theory dbr:(ε,_δ)-definition_of_limit dbr:Saharon_Shelah dbr:Smooth_infinitesimal_analysis dbc:Scientific_controversies dbr:Edward_Nelson dbr:Geoffrey_Hellman dbc:Nonstandard_analysis dbr:Conservative_extension dbr:Constructive_nonstandard_analysis dbr:Zermelo–Fraenkel_set_theory dbr:Henk_J._M._Bos dbr:Dixmier_trace dbr:Law_of_excluded_middle dbr:Abraham_Robinson dbr:Advisor dbr:Alain_Connes dbr:American_Academy_of_Arts_and_Sciences dbr:American_Mathematical_Monthly dbr:Das_Kapital dbr:Economics dbr:Errett_Bishop dbr:Nonstandard_analysis dbr:Foundations_of_Science dbr:Joseph_Dauben dbr:Thermodynamics dbr:Teetotaller dbr:Terence_Tao dbr:Hyperreal_number dbr:L._E._J._Brouwer dbr:Wilhelmus_Luxemburg dbr:ZFC dbr:Axiom_of_choice dbr:Margaret_Thatcher dbr:Martin_Davis_(mathematician) dbr:Bulletin_of_the_American_Mathematical_Society dbr:Philip_J._Davis dbr:Constructivism_(mathematics) dbr:Ian_Stewart_(mathematician) dbr:Formalism_(mathematics) dbr:Vadim_Komkov dbr:Vladimir_Kanovei dbr:Nonstandard_calculus dbr:Robert_Solovay dbr:David_O._Tall dbr:The_Montana_Mathematics_Enthusiast
dbp:sign	Terence Tao (en)
dbp:source	"Structure and randomness", American Mathematical Society (en)
dbp:text	0.0
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Citation_needed dbt:Cite_book dbt:Cite_journal dbt:Dubious dbt:Harv dbt:Harvtxt dbt:Quote dbt:Reflist dbt:Sfn dbt:Infinitesimals
dcterms:subject	dbc:Scientific_controversies dbc:Nonstandard_analysis
rdfs:comment	Nonstandard analysis and its offshoot, nonstandard calculus, have been criticized by several authors, notably Errett Bishop, Paul Halmos, and Alain Connes. These criticisms are analyzed below. (en) L'analisi non standard e il , da essa derivato, sono stati criticati da diversi autori, in particolare , Paul Halmos e Alain Connes. Di seguito sono analizzate tali critiche. (it)
rdfs:label	Criticism of nonstandard analysis (en) Critiche all'analisi non standard (it)
owl:sameAs	wikidata:Criticism of nonstandard analysis dbpedia-it:Criticism of nonstandard analysis https://global.dbpedia.org/id/4iN5a
prov:wasDerivedFrom	wikipedia-en:Criticism_of_nonstandard_analysis?oldid=1111862256&ns=0
foaf:isPrimaryTopicOf	wikipedia-en:Criticism_of_nonstandard_analysis
is dbo:wikiPageRedirects of	dbr:Criticism_of_non-standard_analysis dbr:Bishop-Keisler_controversy dbr:Bishop-Kiesler dbr:Bishop–Keisler_controversy
is dbo:wikiPageWikiLink of	dbr:Elementary_Calculus:_An_Infinitesimal_Approach dbr:Influence_of_nonstandard_analysis dbr:Nonstandard_analysis dbr:Nonstandard_calculus dbr:Criticism_of_non-standard_analysis dbr:Bishop-Keisler_controversy dbr:Bishop-Kiesler dbr:Bishop–Keisler_controversy
is foaf:primaryTopic of	wikipedia-en:Criticism_of_nonstandard_analysis