Experimental computation as an ontological game changer: The impact of modern mathematical computation tools on the ontology of mathematics

David H. Bailey () and Jonathan M. Borwein ()
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David H. Bailey: Lawrence Berkeley National Laboratory (retired)
Jonathan M. Borwein: University Drive, CARMA, The University of Newcastle

A chapter in Mathematics, Substance and Surmise, 2015, pp 25-67 from Springer

Abstract: Abstract Robust, concrete and abstract, mathematical computation and inference on the scale now becoming possible should change the discourse about many matters mathematical. These include: what mathematics is, how we know something, how we persuade each other, what suffices as a proof, the infinite, mathematical discovery or invention, and other such issues.

Keywords: Periodic Orbit; Computer Algebra System; Decimal Digit; Lorenz Attractor; Symmetric Periodic Orbit (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-21473-3_3

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DOI: 10.1007/978-3-319-21473-3_3

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