Gödel, Escher, Bach An Eternal Golden Braid by Douglas R. Hofstadter

(Dana P.) #1
FIGURE 37. Butterflies, by M. C. Escher (wood-engraving, 1950).

Escher drawing or a Bach piece gives it away. Just as a fish's DNA IS
contained inside every tiny bit of the fish, so a creator's "signature" is
contained inside every tiny section of his creations. We don't know what to
call it but "style"-a vague and elusive word.
We keep on running up against "sameness-in-differentness", and the
question


When are two things the same?

It will recur over and over again in this book. We shall come at it from all
sorts of skew angles, and in the end, we shall see how deeply this simple
question is connected with the nature of intelligence.
That this issue arose in the Chapter on recursion is no accident, for
recursion is a domain where "sameness-in-differentness" plays a central
role. Recursion is based on the "same" thing happening on several differ-

(^148) Recursive Structures and Processes

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