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2. Euler [1768], p. 233.
3. For more details, see Hammer and Shin [1998].
4. Such problems have been studied under the banner of “Topological Inference” and are nearly all NP hard [Grigni et al. 1995, Lemon & Pratt 1997b].
5. Now Ian Pratt-Hartmann.
6. As a practical instance of Helly's Theorem.
7. For example: Reasoning with Diagrammatic Representations: 1992 AAAI Spring Symposium; Cognitive and Computational Models of Spatial Representation: 1996 AAAI Spring Symposium; Reasoning with Diagrammatic Representations II: 1997 AAAI Fall Symposium; and Formalizing Reasoning with Visual and Diagrammatic Representations: 1998 AAAI Fall Symposium. See also Narajanan [1993].
8. The following conferences are good evidence for this effort: VISUAL '98: Visualization Issues in Formal Methods (Lisbon); International Roundtable Conference on Visual and Spatial Reasoning in Design (MIT, 1999); and Theories of Visual Languages -- Track of VL '99 : 1999 IEEE Symposium on Visual Languages.
9. See Aristotle On the Soul and On the Memory and Recollection.
10. Block [1981] is one
of the best collections of important papers on this debate, and Block
[1983] presents a succinct summary of this controversy and raises
insightful philosophical questions about the debate. Chapters 1-4 of
Tye [1991] are a good overview of both cognitive scientists' and
philosophers' various positions on this issue.
First published: August 28, 2001
Content last modified: June 19, 2002