COMPUTERS, MATHEMATICS EDUCATION, AND THEALTERNATIVE EPISTEMOLOGY OF THE CALCULUS INTHE YUKTIBHĀṢĀ..
Current formal mathematics, being divorced from the empirical, is entirely a social construct, so that mathematical theorems are no more secure than the cultural belief in two-valued logic, incorrectly regarded as universal. Computer technology, by enhancing the ability to calculate, has put pressur...
| Publicado en: | Philosophy East & West: A Quarterly of Comparative Philosophy Vol. 51; no. 3; pp. 325 - 363 |
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| Formato: | Artículo |
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University of Hawai'i
Jul2001
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=14810993&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 14810993 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00318221 PEW jtl: Philosophy East & West: A Quarterly of Comparative Philosophy issn: 00318221 maglogo: N pubinfo: dt: Jul2001 vid: 51 iid: 3 pid: 740 pub: University of Hawai'i artinfo: ui: 14810993 10.1353/pew.2001.0045 ppf: 325 ppct: 38 formats: fmt: – @attributes: type: T – @attributes: type: P size: 7.9MB tig: atl: COMPUTERS, MATHEMATICS EDUCATION, AND THEALTERNATIVE EPISTEMOLOGY OF THE CALCULUS INTHE YUKTIBHĀṢĀ.. aug: au: Raju, C. K. su: Mathematics Cybernetics Calculus Civilization Mathematical analysis sug: subj: Mathematics Cybernetics Calculus Civilization Mathematical analysis ab: Current formal mathematics, being divorced from the empirical, is entirely a social construct, so that mathematical theorems are no more secure than the cultural belief in two-valued logic, incorrectly regarded as universal. Computer technology, by enhancing the ability to calculate, has put pressure on this social construct, since proof-oriented formal mathematics is awkward for computation, while computational mathematics is regarded as epistemologically insecure. Historically, a similar epistemological fissure between computational/practical Indian mathematics and formal/spiritual Western mathematics persisted for centuries, during a dialogue of civilizations, when texts on "algorismus" and "infinitesimal" calculus were imported into Europe, enhancing the ability to calculate. It is argued here that this epistemological tension should be resolved by accepting mathematics as empirically based and fallible, and by revising accordingly the mathematics syllabus outlined by Plato. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Copyright of Philosophy East & West: A Quarterly of Comparative Philosophy is the property of University of Hawai'i and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. item: Philosophy East & West: A Quarterly of Comparative Philosophy holder: University of Hawai'i dt: @attributes: year: 2001 holdings: @attributes: islocal: N |
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