David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Metaphilosophy 43 (4):480-498 (2012)
The Web may critically transform the way we understand the activity of proving. The Web as a collaborative medium allows the active participation of people with different backgrounds, interests, viewpoints, and styles. Mathematical formal proofs are inadequate for capturing Web-based proofs. This article claims that Web provings can be studied as a particular type of Goguen's proof-events. Web-based proof-events have a social component, communication medium, prover-interpreter interaction, interpretation process, understanding and validation, historical component, and styles. To demonstrate its claim, the article discusses the Kumo and Polymath projects, both of which employ Web-based communication as part of proving. Web proving is a novel type of proving activity that may have a serious impact on the change in mathematical practices, despite the fact that it is not currently a universally acceptable methodology
|Keywords||Timothy Gowers crowdsourcing proof‐event mathematical proof communication media Joseph Amadee Goguen Web proof virtual world mathematical practice|
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Aristotle (2013). Poetics. Oup Oxford.
Gerhard Gentzen (1970). The Collected Papers of Gerhard Gentzen. Amsterdam, North-Holland Pub. Co..
George Lakoff (1980/2003). Metaphors We Live By. University of Chicago Press.
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