Preciseness is Necessary for Creativity

Precision makes for clearness of thought, and thence for boldness of thought and for fertility in trying new combinations of ideas.

When initial thoughts are vague and slipshod, at every subsequent state of thought common sense has to step in to limit applications and to explain meanings.

In creative thought common sense is a bad master. Its sole criteria for judgment is that the new ideas shall look like the old ones. In other words it can act only by suppressing originality.

   — Alfred Whitehead, An Introduction to Mathematics

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