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The chain yields the following coordinatization: S8 C3 S7 C3 S6 C3 S5 C3 S4 C3 S3 C3 C2 C3 where the top level component S8 acts on 8 states (coordinate values), representing the 8 possible positions of the first stabilized corner. Therefore killing the first level will put the corner in the right position. The coordinate values on the second level correspond the 3 possible rotational states of the corner. The 3rd and 4th level similarly encode the second corner, and so on (Figures 3-5). 26 A. L.

145–154. Kyoto Research Institute for Mathematics Sciences, RIMS Kokyuroku (1996) 22. : Unified Theories of Cognition. Harvard University Press (1990) 23. : Applications of Lie Groups to Differential Equations, 2nd edn. Springer (2000) 24. : Group Theory and Its Applications to Chemistry. Tata McGraw-Hill (2004) 25. : Metacognition does not imply awareness: Strategy choice is governed by implicit learning and memory. M. ) Implicit Memory and Metacognition. Erlbaum, Hillsdale (1996) 26. : Applications of Automata Theory and Algebra via the Mathematical Theory of Complexity to Biology, Physics, Psychology, Philosophy, and Games.

34 J. Juniper Philosophy and Computation Fig. 1. The linkage between Philosophy, Computational Ontologies, and Formalisms In his efforts to develop an ontology for the insurance industry, Hoekstra attempted to base his architecture on a formal representation of physical causation, which in turn was grounded in a meaningful attribution of liability and responsibility. e. e. AI and the semantic web), researchers are forced to take a philosophical stance in regard to the philosophical status of the legal subject.

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