This work about maths and language is from the NPR commentator
Keith Devlin. Why is maths so hard? And why, despite this
difficulty, are some people so good at it? If there is some inborn
capacity for mathematical thinking which there must be, otherwise
no one could do it, why can't we all do it well? Keith Devlin has
answers to all these difficult questions, and in giving them shows
us how mathematical ability evolved, why it's a part of language
ability, and how we can make better use of this innate talent. He
also offers a theory of language development - that language
evolved in two stages, and its main purpose was not communication.
Devlin goes on to show that the ability to think mathematically
arose out of the same symbol-manipulating ability that was so
crucial to the emergence of true language. Why, then, can't we do
maths as well as we can speak? The answer, says Devlin, is that we
can and do, we just don't recognize when we're using mathematical
reasoning.
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