The Web as A Tool For Proving.

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 ar...

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Publicado en:Metaphilosophy Vol. 43; no. 4; pp. 480 - 499
Autores principales: Stefaneas, Petros, Vandoulakis, Ioannis M.
Formato: Artículo
Publicado: Wiley-Blackwell Jul2012
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        atl: The Web as A Tool For Proving.
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          Stefaneas, Petros
          Vandoulakis, Ioannis M.
        affil:
          Department of Mathematics, National Technical University of Athens, Polytechnioupolis Zografou, 9 Heroon Polytechniou St., GR‐15780 Zografou, Greece
          Hellenic Open University, Studies in European Civilization, 1 Ias. Maratou St., GR‐15773 Zografou, Greece
      su:
        World Wide Web
        Mathematical proofs
        Crowdsourcing
        Virtual reality
        Communication
        Knowledge representation (Information theory)
        Artificial intelligence
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        subj:
          World Wide Web
          Mathematical proofs
          Crowdsourcing
          Virtual reality
          Communication
          Knowledge representation (Information theory)
          Artificial intelligence
      keyword:
        communication media
        crowdsourcing
        Joseph Amadee Goguen
        mathematical practice
        mathematical proof
        proof
        proof‐event
        proof-event
        Timothy Gowers
        virtual world
        Web
      ab: 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.
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