Extended mathematical cognition: external representations with non-derived content
نویسندگان
چکیده
منابع مشابه
External cognition: how do graphical representations work?
The Speaker, Betty Boothroyd, rebuked an M.P. for using a cardboard diagram in the Commons to explain overseas aid figures. She said " I have always believed that all Members of this House should be sufficiently articulate to express what they want to say without diagrams. " [Guardian 7/12/94] Summary Advances in graphical technology have now made it possible for us to interact with information...
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External representation is the use of the physical world for cognitive ends, the enlargement of the mechanisms of representation to include the actionperception cycle. It has recently been observed that such representation is pervasive in human activity in both pragmatic and more abstract tasks. It is argued here that by forcing an artificial learning system to off-load all of its representatio...
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Mathematics is a system for representing and reasoning about quantities, with arithmetic as its foundation. Its deep interest for our understanding of the psychological foundations of scientific thought comes from what Eugene Wigner called the unreasonable efficacy of mathematics in the natural sciences. From a formalist perspective, arithmetic is a symbolic game, like tic-tac-toe. Its rules ar...
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ژورنال
عنوان ژورنال: Synthese
سال: 2019
ISSN: 0039-7857,1573-0964
DOI: 10.1007/s11229-019-02097-w