I Think, Therefore I Err

Abstract

Abstract Why do we make errors? Are they blunders caused by the limitations of our cognitive system? Or are errors an indispensable property of every intelligent system? From the first perspective, all errors are at best unnecessary and at worst harmful. Consider an error commonly made by children. When asked to find the sum of one-half and one-third, the answer is often two-fifths. This is called the freshman error of adding numerators and adding denominators (Silver, 1986). But such errors are not limited to children.

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