For centuries, mathematicians believed that within any axiomatic system—such as geometry, arithmetic, or algebra—every statement was either true or false. In 1931, Viennese mathematician Kurt Gödel proved that this intuition was wrong. He showed that sufficiently complex logical systems are “incomplete.” That is, they contain statements and propositions that cannot be judged true or false within the logic of the system. To judge their truth one most look beyond the system to outside knowledge.4 I believe this idea applies, metaphorically, to human systems. Specifically, when executives and
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