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The Experimental Mathematician: The Pleasure of Discovery and the Role of Proof

Borwein, Jonathan M. (2004) The Experimental Mathematician: The Pleasure of Discovery and the Role of Proof. [Preprint]

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    Abstract

    The emergence of powerful mathematical computing environments, the growing availability of correspondingly powerful (multi-processor) computers and the pervasive presence of the internet allow for mathematicians, students and teachers, to proceed heuristically and `quasi-inductively'. We may increasingly use symbolic and numeric computation, visualization tools, simulation and data mining. The unique features of our discipline make this both more problematic and more challenging. For example, there is still no truly satisfactory way of displaying mathematical notation on the web; and we care more about the reliability of our literature than does any other science. The traditional role of proof in mathematics is arguably under siege---for reasons both good and bad.

    Item Type: Preprint
    Additional Information: pubdom FALSE
    Uncontrolled Keywords: proof, insight, aesthetics, experimental mathematics, constructivism, integer relations, humanist philosophy.
    Subjects: 97-xx Mathematics education > 97Cxx Psychology of and research in mathematics education
    00-xx General > 00Axx General and miscellaneous specific topics
    Faculty: UNSPECIFIED
    Depositing User: Users 1 not found.
    Date Deposited: 01 Aug 2004
    Last Modified: 21 Apr 2010 11:13
    URI: http://docserver.carma.newcastle.edu.au/id/eprint/264

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