Conceptual Spaces: The Geometry of Thought by Peter Gärdenfors

By Peter Gärdenfors

Inside of cognitive technology, techniques at present dominate the matter of modeling representations. The symbolic method perspectives cognition as computation related to symbolic manipulation. Connectionism, a unique case of associationism, types institutions utilizing man made neuron networks. Peter Gardenfors bargains his idea of conceptual representations as a bridge among the symbolic and connectionist techniques. Symbolic illustration is especially susceptible at modeling inspiration studying, that is paramount for realizing many cognitive phenomena. idea studying is heavily tied to the idea of similarity, that's additionally poorly served by means of the symbolic procedure. Gardenfors's concept of conceptual areas offers a framework for representing info at the conceptual point. A conceptual area is outfitted up from geometrical buildings in accordance with a few caliber dimensions. the most purposes of the speculation are at the positive aspect of cognitive technological know-how: as a optimistic version the speculation will be utilized to the improvement of man-made structures in a position to fixing cognitive initiatives. Gardenfors additionally exhibits how conceptual areas can function an explanatory framework for a few empirical theories, specifically these referring to idea formation, induction, and semantics. His goal is to provide a coherent study application that may be used as a foundation for extra certain investigations.

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Extra resources for Conceptual Spaces: The Geometry of Thought

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Here Freyd hints at an economic explanation of why we have conceptual spaces; they facilitate the sharing of knowledge. 8 shows that since efficient sharing of knowledge is one of the fundamental requirements of communication, Freyd’s argument will provide an independent justification for the representational role of conceptual spaces. Finally, some quality dimensions are introduced by science. Witness, for example, Newton’s distinction between weight and mass, which is of pivotal importance for the development of his celestial mechanics but which has hardly any correspondence in human perception.

I do not claim that the symbolic paradigm is totally without value. It has given us insights into mathematical reasoning (but reasoning is not only logic). And if one tries to imitate natural language understanding, it may be necessary to use some linguistic structures, for example, to be able to analyze the grammar of the input (see, for example, Goldberg 1995). But even in this area we encounter problems when it comes to providing a semantics for the linguistic expressions. According to the symbolic approach, the contents of an expression in a natural language would be represented by an expression in Mentalese (see, for example, Katz and Fodor 1964).

Still other dimensions may be culturally dependent. 38 Take time, for example; in some cultures time is conceived to be circularâthe world keeps returning to the same point in time and the same events occur over and over again; and in other cultures it is hardly meaningful at all to speak of time as a dimension. A sophisticated time dimension, with a full metric structure, is needed for advanced forms of planning and coordination with other individuals, but it is not necessary for the most basic activities of an organism.

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