One can take a very broad look at the evolution of human mind and memory, tracing the growing importance of mediation by tools, language and culture. Using the stages described in Donald Merlin's Origins of the Modern Mind, and extending the history back to pre-human forms of memory, I arrived at a doubly exponential law:

New forms of cognition mediated by external memory are appearing faster and faster, and our power to disseminate information is increasing more and more with each such change.

The plot of power vs time on log/log paper is a straight line. The plot shows latency of information to disseminate at each stage of memory development vs how long age that stage developed -- from yesterday's Internet applications to simple self-replicating molecules 3.5 billion years ago.

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