Strangely enough, our conversation about whether blind alleys should be put into expositions about math was take. Up in Spivak's introduction. He suggests describing a nice way that the subject _could_ have arisen instead of the actual way. For, as he writes, "there is no reason, in mathematics any more than in biology, why ontogeny must recapitulate phylogeny. When modern terminology finally is introduced, it should be as an outgrowth of this (mythical) historical development."
Go ahead, look up the words. I did;)
-Brandon
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