Compositionality in language and arithmetic

@article{Montemayor2007CompositionalityIL,
  title={Compositionality in language and arithmetic},
  author={Carlos Montemayor and Fuat Balcı},
  journal={Journal of Theoretical and Philosophical Psychology},
  year={2007},
  volume={27},
  pages={53-72}
}
The lack of conceptual analysis within cognitive science results in multiple models of the same phenomena. However, these models incorporate assumptions that contradict basic structural features of the domain they are describing. This is particularly true about the domain of mathematical cognition. In this paper we argue that foundational theoretic aspects of psychological models for language and arithmetic should be clarified before postulating such models. We propose a means to clarify these… 

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