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Universals, Mathematical Thought and Awareness

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Abstract

In the last chapter, we left unfinished an examination of the issues surrounding the formation of concepts, otherwise known as universals. We examined Edelman’s (2004) global mapping theory that sought to explain the formation of concepts by means of interaction of two parts of the neural system, but we found that theory seriously inadequate for a variety of reasons. Among other things, his explanation of the process of formation of concepts does not work. In the first place, it begs too many questions and effectively collapses concepts to percepts. Even given his theory, however, there is no way to explain the formation of abstract concepts as in mathematics.

Keywords

Mathematical Idea Mathematical Thought Phenomenal Experience Conceptual Metaphor Sensorimotor System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Indiana UniversityBloomingtonU.S.A.

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