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The Categorical Imperative: Category Theory in Cognitive and Brain Science

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Book cover A New Foundation for Representation in Cognitive and Brain Science

Part of the book series: Springer Series in Cognitive and Neural Systems ((SSCNS,volume 7))

Abstract

In this book is conjectured that category theory could provide the necessary concepts to bridge the gap between the different levels of brain activity: from microscopic neuronal activity, to macroscopic aspects, like for example, emotions or abstract thoughts, which are still imprecisely defined in the psychological literature. Traditionally, mathematical formalisms in cognitive science have been confined to toy model world descriptions (Boden M (1972) What computers can’t do: the limits of artificial intelligence. Harper & Row, New York; Boden M (2006) Mind as machine. Oxford University Press, New York). In the absence of a theory written in mathematical terms, the separation between the different disciplines that form the cognitive sciences, will be progressively more acute and an understanding between them unattainable.

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Notes

  1. 1.

    Note that the category determined by one poset is not the same than the category of posets Pos

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Gómez-Ramirez, J. (2014). The Categorical Imperative: Category Theory in Cognitive and Brain Science. In: A New Foundation for Representation in Cognitive and Brain Science. Springer Series in Cognitive and Neural Systems, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7738-5_3

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