Effectiveness of Mathematics (20 Sep 2004)
While working on The Humane Interface (Addison-Wesley, 2000), I found it necessary to try to understand why we had certain mental abilities and not others. Plausible hypotheses arose not from cognitive psychology, as I had expected, but from the biology of evolution. The present question, the fit of “our” mathematics to the external world has generally been approached as a question of philosophy and physics. But considering that understanding of the physical world in terms of mathematics is a human trait, and that humans are biological creatures, I should not have been surprised that biology, and indeed one of the most powerful theories of biology, the evolution of species, should provide a measure of understanding.
Article URL: http://humane.sourceforge.net/unpublished/effectiveness_mathematics.html
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