Computerized deconstruction.
type: Item
instance of: scholarly article
title: Computerized deconstruction.
zbMATH Open document ID: 1041.11052
DOI: 10.1016/S0196-8858(02)00508-0
author: Doron Zeilberger
published in: Advances in Applied Mathematics
publication date: 2003-09-15T00:00:00Z
review text: The author preaches the new gospel that ``the methodology of computer-assisted and computer generated research will rule in the future, and will make past mathematics seem like alchemy and astrology, or, at best, theology.'' In the spirit of Jacques Derrida's deconstruction of such binary `opposites' as cause and effect, the author promises to deconstruct such pairs as rigorous and non-rigorous, pure and applied, theorem and conjecture, empirical and theoretical, a priori truth and experimental truth, deduction and induction. He endeavours to illustrate his notions by detailing how computer-assisted and computer generated research might discover, strictly speaking, might have discovered, Apéry's proof of the irrationality of \(\zeta(3)\), so-to-speak deconstructing the Apéry of 1978 by rendering him unnecessary.
Mathematics Subject Classification ID: 11J72
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 00A35
Mathematics Subject Classification ID: 33F10
zbMATH DE Number: 1981413
describes a project that uses: PADE
describes a project that uses: AperyWZ
describes a project that uses: AperyRecurrence
describes a project that uses: AperyAcc
describes a project that uses: AperyAppx
MaRDI profile type: Publication
cites work: Q3912668
cites work: MATHEMATICS IN THE 20TH CENTURY
cites work: Q3874300
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cites work: Q4501772
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cites work: Q3139680
cites work: Theorems for a price: Tomorrow's semi-rigorous mathematical culture
cites work: An Apéry-like difference equation for Catalan's constant
full work available at URL: s0196-8858(02)00508-0
OpenAlex ID: W2913027797
description: scientific article; zbMATH DE number 1981413