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Mathematical models of cognitive space and time

In D. Andler, M. Okada & I. Watanabe (eds.), Reasoning and Cognition. pp. 125--128 (2006)

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  1. Mental spaces: aspects of meaning construction in natural language.Gilles Fauconnier - 1994 - New York, NY, USA: Cambridge University Press.
    Mental Spaces is the classic introduction to the study of mental spaces and conceptual projection, as revealed through the structure and use of language. It examines in detail the dynamic construction of connected domains as discourse unfolds. The discovery of mental space organization has modified our conception of language and thought: powerful and uniform accounts of superficially disparate phenomena have become available in the areas of reference, presupposition projection, counterfactual and analogical reasoning, metaphor and metonymy, and time and aspect in (...)
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  • The symbol grounding problem.Stevan Harnad - 1990 - Physica D 42:335-346.
    There has been much discussion recently about the scope and limits of purely symbolic models of the mind and about the proper role of connectionism in cognitive modeling. This paper describes the symbol grounding problem : How can the semantic interpretation of a formal symbol system be made intrinsic to the system, rather than just parasitic on the meanings in our heads? How can the meanings of the meaningless symbol tokens, manipulated solely on the basis of their shapes, be grounded (...)
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  • Order-Sorted Algebra I Equational Deduction for Multiple Inheritance, Overloading, Exceptions and Partial Operations.Joseph Goguen & José Meseguer - 1989 - Oxford University Computing Laboratory, Programming Research Group.
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  • Musical qualia, context, time and emotion.J. Goguen - 2004 - Journal of Consciousness Studies 11 (3-4):117-147.
    Nearly all listeners consider the subjective aspects of music, such as its emotional tone, to have primary importance. But contemporary philosophers often downplay, ignore, or even deny such aspects of experience. Moreover, traditional philosophies of music try to decontextualize it. Using music as an example, this paper explores the structure of qualitative experience, demonstrating that it is multi-layer emergent, non-compositional, enacted, and situation dependent, among other non-Cartesian properties. Our explanations draw on recent work in cognitive science, including blending, image schemas, (...)
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  • Foundations for active multimedia narrative: Semiotic spaces and structural blending.Joseph Goguen & Fox Harrell - forthcoming - Interaction Studies.
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