The concepts of creativity and incompleteness are tightly connected. In a nutshell, a system is creative if every description of it is incomplete.
Creativity can be regarded as the ability of a system to produce something new. A “system” in this sense might be an organism, a human being, a culture, an organization, a physical system like the solar system, a machine or any other dynamic structure in which some processes are happening, even the whole universe. Being creative in this sense can be viewed as the ability of a system to always generate or incorporate new information.
Newness, however, is not an absolute property. Something is new only relative to some description. But we would not call a system creative just because it did something that a certain given description of it could not predict. We would instead say that that particular description was incomplete. And since we can…
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