Difference between revisions of "Conceptual Spaces"

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The Theory of '''Conceptual Spaces''' is a theory about [[concept]] representation proposed by [[Peter Gärdenfors]]<ref>{{cite book|last=Gärdenfors|first=Peter|title=Conceptual spaces : the geometry of thought|year=2000|publisher=MIT Press|location=Cambridge, Mass.|isbn=0262071991}}</ref>.
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The Theory of '''Conceptual Spaces''' is a theory about [[concept]] representation proposed by [[Peter Gärdenfors]].<ref>{{cite book|last=Gärdenfors|first=Peter|title=Conceptual spaces : the geometry of thought|year=2000|publisher=MIT Press|location=Cambridge, Mass.|isbn=0262071991}}</ref>
It is motivated by the notions like conceptual [[Similarity_(psychology)|similarity]] and [[prototype theory]]. A ''conceptual space'' is multi-dimensional feature space where ''points'' denote objects, and ''regions'' denote concepts. Its bases are composed by ''quality dimensions'', which denote basic features in which concepts and objects can be compared, as such as ''weight'', ''colour'', ''taste'' and so on.  
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It is motivated by the notions like conceptual [[Similarity (psychology)|similarity]] and [[prototype theory]]. A ''conceptual space'' is multi-dimensional feature space where ''points'' denote objects, and ''regions'' denote concepts. Its bases are composed by ''quality dimensions'', which denote basic features in which concepts and objects can be compared, as such as ''weight'', ''colour'', ''taste'' and so on.  
  
 
The theory also puts forward the notion that ''natural'' categories are [[convex set|convex]] regions in a conceptual spaces. In that if <math>x</math> and <math>y</math> are elements of a category, and if <math>z</math> is between <math>x</math> and <math>y</math>, then <math>z</math> is also likely to belong to the category. The notion of concept convexity allow the interpretation of the focal points of regions as category [[prototype theory|prototypes]]. In the more general formulations of the theory, concepts are defined in terms conceptual similarity to their prototypes.
 
The theory also puts forward the notion that ''natural'' categories are [[convex set|convex]] regions in a conceptual spaces. In that if <math>x</math> and <math>y</math> are elements of a category, and if <math>z</math> is between <math>x</math> and <math>y</math>, then <math>z</math> is also likely to belong to the category. The notion of concept convexity allow the interpretation of the focal points of regions as category [[prototype theory|prototypes]]. In the more general formulations of the theory, concepts are defined in terms conceptual similarity to their prototypes.
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Latest revision as of 21:42, 24 September 2012

The Theory of Conceptual Spaces is a theory about concept representation proposed by Peter Gärdenfors.[1] It is motivated by the notions like conceptual similarity and prototype theory. A conceptual space is multi-dimensional feature space where points denote objects, and regions denote concepts. Its bases are composed by quality dimensions, which denote basic features in which concepts and objects can be compared, as such as weight, colour, taste and so on.

The theory also puts forward the notion that natural categories are convex regions in a conceptual spaces. In that if and are elements of a category, and if is between and , then is also likely to belong to the category. The notion of concept convexity allow the interpretation of the focal points of regions as category prototypes. In the more general formulations of the theory, concepts are defined in terms conceptual similarity to their prototypes.

See also

Notes

  1. {{#invoke:citation/CS1|citation |CitationClass=book }}


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