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Mutation is a random process, so individuals that can mutate are more entropic than the ones that can't.

If we agree that mutations are desirable (in some cases) then this contradict the idea that individuals are only propagate the information to their future

>Individuals maximally propagate information from their past to their future.

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No it does not contradict it. You can have random processes induce a reduction in entropy of a system (e.g. random bit flips can lead to the sequence 111111 which has 0 entropy) and in particular a random process can increase the ability of a system to maintain low entropy over time (e.g. a mutation that makes dna replication during cell division more accurate), which is the more relevant point in the proposed definition.

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