Abstract
It has been recognized for some time that analogies can redescribe an object or situation sometimes resulting in a radically new point of view. While this creative aspect of analogy is often cited as a reason for its study, AI approaches to analogy have, for the most part, ignored this phenomenon and instead have focused on computing similarities between fixed descriptions. To study this ‘redescription’ process by which new points of view can be created, we seek a micro-world in which the redescription phenomenon occurs in its full subtlety but in which it can be isolated from extraneous and ill-understood factors. Proportional analogies (i.e., analogies of the form: A is to B as C is to D) in the abstract domain of geometric figures form just such a micro-world. In this paper, we describe an algebraic formulation of the redescription process in the context of geometric proportional analogies. We then discuss the design of a computer program called PAN which redescribes geometric figures while solving proportional analogy problems. Finally, we briefly discuss our plans for future work in this area.
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O'Hara, S. (1992). A model of the ‘redescription’ process in the context of geometric proportional analogy problems. In: Jantke, K.P. (eds) Analogical and Inductive Inference. AII 1992. Lecture Notes in Computer Science, vol 642. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56004-1_19
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DOI: https://doi.org/10.1007/3-540-56004-1_19
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