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How does complex mathematical theory arise? Phylogenetic and cultural origins of algebra

In Carlos Gershenson, Diederik Aerts & Bruce Edmonds (eds.), Worldviews, Science and Us: Philosophy and Complexity. World Scientific (2007)

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  1. An extended mind perspective on natural number representation.Helen De Cruz - 2008 - Philosophical Psychology 21 (4):475 – 490.
    Experimental studies indicate that nonhuman animals and infants represent numerosities above three or four approximately and that their mental number line is logarithmic rather than linear. In contrast, human children from most cultures gradually acquire the capacity to denote exact cardinal values. To explain this difference, I take an extended mind perspective, arguing that the distinctly human ability to use external representations as a complement for internal cognitive operations enables us to represent natural numbers. Reviewing neuroscientific, developmental, and anthropological evidence, (...)
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