[kirkules]

The back of the envelope computations are shockingly shallow and meaningless.

(20 Questions, from the intro) Trying to think of a thing for the game is not a search over a set of known things. Just saying the possibility set has size 2^N doesn't mean that choosing something in the set consists of processing the set. But even if that were the case, and if you do consider each of 2^N options, the consideration process itself is not trivial and probably varies wildly.

(English typing) Touch typists do not (only) simply convert an existing/known string to a sequence of hand actions by mapping character to action. There are whole words and sequences that become units/tokens from the standpoint of muscle memory and processing (this will be relevant to the rubik's cube topic as well). When i type, there's a sort of planning and queueing of actions, but also there's monitoring of actions that allows fast error correction with pressing delete a number of times or holding it and costly determining when the error has been reached, and resuming afterward. Of course the process likely varies from person to person, but there's such a host of other things going on that should count as part of the information processed in this simple behavior that the example and numbers used in the paper for it are utterly useless even as estimates.

(Rubik's cube blind speed solving) Again we see reference to the entire possibility space (from the perspective of possible configurations of the puzzle). But solvers do not identify the configuration they encounter with reference to the space, nor do they search the space for it. They look for patterns and ignore what they cannot use for the strategy they have practiced. The cuber often does not commit to memory the whole configuration, but will often convert it to a custom and bespoke mnemonic. It's just utter nonsense to refer to the number of possible configurations, it has nothing directly to do with what the human is doing.

If I memorize a 30 word passage, i have not "processed the set of possible 30 word passages".