Conceptual Spaces: The Geometry of Thought
Within cognitive science, two approaches currently dominate the problem of modeling representations. The symbolic approach views cognition as computation involving symbolic manipulation. Connectionism, a special case of associationism, models associations using artificial neuron networks. Peter G?rdenfors offers his theory of conceptual representations as a bridge between the symbolic and connectionist approaches.
Symbolic representation is particularly weak at modeling concept learning, which is paramount for understanding many cognitive phenomena. Concept learning is closely tied to the notion of similarity, which is also poorly served by the symbolic approach. G?rdenfors's theory of conceptual spaces presents a framework for representing information on the conceptual level. A conceptual space is built up from geometrical structures based on a number of quality dimensions. The main applications of the theory are on the constructive side of cognitive science: as a constructive model the theory can be applied to the development of artificial systems capable of solving cognitive tasks. G?rdenfors also shows how conceptual spaces can serve as an explanatory framework for a number of empirical theories, in particular those concerning concept formation, induction, and semantics. His aim is to present a coherent research program that can be used as a basis for more detailed investigations.
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12 Conceptual Spaces as a Framework for Representations
13 Quality Dimensions
14 Phenomenal and Scientific Interpretations of Dimensions
Color Sound and Taste
16 Some Mathematical Notions
17 How Dimensions Are Identified
18 Integral and Separable Dimensions
47 Concept Dynamics and Nonmonotonic Reasoning
48 Objects as Special Kinds of Concepts
49 Four Geometrical Categorization Models
410 The Shell Space
52 Six Tenets of Cognitive Semantics
53 Analyses of Some Aspects of Lexical Semantics
19 On the Origins of Quality Dimensions
Symbolic Conceptual and Subconceptual Representations
22 Symbolic Representations
23 Subconceptual Representations
24 Conceptual Representations
25 Connections to Neuroscience
27 The Jungle of Representations
32 Properties in Intensional Semantics
33 Criticism of the Traditional View of Properties
34 Criteria for Natural Regions of Conceptual Spaces
35 Natural Properties
36 Reconsidering the Problems
37 The Relativism of Conceptual Spaces
38 Connections to Prototype Theory
39 Voronoi Tessellations of a Space
310 Higher Level Properties and Relations
42 Modeling Concepts
43 The Role of Similarity in Concept Formation
44 Combining Concepts
45 Learning Concepts
46 Nonmonotonic Aspects of Concepts
54 An Analysis of Metaphors
55 The Learnability Question
56 Communicating Referents
57 Can Meanings Be in the Head?
The Semantic Program
62 The Symbolic Level
63 The Conceptual Level
64 The Role of Theoretical Concepts
65 The Subconceptual Level
66 Correlations between Domains
What Is Induction?
72 Conceptual Spaces as Emergent Systems
73 Smolenskys Treatment of Connectionism
74 Not All Computation Is Done by Turing Machines
75 A System for Object Recognition
In Chase of Space
82 Connections among Levels
The Need for a New Methodology
Conceptual Spaces - The MIT Press
A new theory of conceptual representations as a bridge between the symbolic and connectionist approaches
Conceptual Spaces Cheat Sheet
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www.jch.com/ jch/ cscs.html
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ieeexplore.ieee.org/ iel5/ 4276338/ 4276339/ 04276425.pdf?tp=&
Reformulation of the theory of conceptual spaces
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ifgi.uni-muenster.de/ ~lette/ CAME_2006-revised.pdf
Peter Gärdenfors, Conceptual Spaces: The Geometry of Thought
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www.springerlink.com/ index/ r4g82qx365640772.pdf
sciencedirect - Robotics and Autonomous Systems : Conceptual ...
In his book, Conceptual Spaces. The Geometry of Thought1, Peter Gärdenfors proposes the notion of conceptual space as a way to overcome the opposition ...
linkinghub.elsevier.com/ retrieve/ pii/ S092188900300023X
Fast Qualitative Reasoning about Categories in Conceptual Spaces
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www.cs.jcu.edu.au/ ftp/ pub/ techreports/ HIS-231.pdf
... offers a somewhat personal interpretation; The content is drawn mostly from Gärdenfors’ “Conceptual Spaces: The geometry of thought”, MIT Press, 2000. ...
ir.dcs.gla.ac.uk/ oldseminars/ Bruza.ppt
Conceptual Spaces. As an alternative to symbolic representations of information and knowledge, a theory of conceptual spaces is investigated. ...
www.lucs.lu.se/ Peter.Gardenfors/ Conceptual.Spaces/