The dependence on history of both current and future dynamics of life is a common intuition in biology and in humanities. This paper hints to a preliminary, but rigorous analysis of "path dependence", which may be found also in physics, in terms of invariants and invariance preserving transformations. The idea is that the (relatively) invariant traces of past ecosystemic transformations contribute to the "determination" of present and future state of affairs and introduce by this a peculiar form of unpredictability (or randomness) in biology, at the core of novelty creation. This applies a fortiori to cognitive and historical human dynamics.
Keywords: Enablement, extended criticality, path dependence, randomness, unpredictability.