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CONCEPT

Inevitability of Novelty

Wagner's mathematical claim that exploration through a sufficiently structured possibility space guarantees the encounter with novel phenotypes — innovation is not the exception but the rule.
The most counterintuitive finding of Wagner's research is that innovation is not improbable. Given the structure of genotype networks, exploration through possibility space will inevitably encounter novel phenotypes. The probability of encountering novelty does not merely increase with exploration — it approaches certainty. The difficulty that individual explorers experience when reaching for novelty reflects a property of their position and trajectory, not a fundamental property of the underlying space. The landscape itself is organized to make novelty systematically accessible to any sufficiently dispersed population of explorers.
Inevitability of Novelty
Inevitability of Novelty

In The You On AI Field Guide

Wagner demonstrated inevitability through a thought experiment made rigorous by computation. A population of organisms walking randomly along a genotype network, accumulating neutral mutations, disperses through sequence space. Each member occupies a different position adjacent to a different subset of alternative phenotypes. After sufficient dispersal, virtually every accessible innovation in the surrounding phenotype space has at least one population member adjacent to it. The innovations have not been discovered yet —

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