tom_cr comments on An overview of the mental model theory - LessWrong

11 Post author: ScottL 17 August 2015 01:18PM

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Comment author: alicey 17 August 2015 03:39:16PM *  4 points [-]

Reading this was a bit annoying:

Only one statement about a hand of cards is true:

  • There is a King or Ace or both.

  • There is a Queen or Ace or both.

Which is more likely, King or Ace?

... The majority of people respond that the Ace is more likely to occur, but this is logically incorrect.

It is just communicating badly https://xkcd.com/169/ . In a common parse, Ace is more likely to occur. It would be more likely to be parsed as you intended if you had said

Only one of the following premises is true about a particular hand of cards:

(like you did on the next question!)

Comment author: tom_cr 02 October 2015 09:08:08PM 0 points [-]

I think that the communication goals of the OP were not to tell us something about a hand of cards, but rather to demonstrate that certain forms of misunderstanding are common, and that this maybe tells us something about the way our brains work.

The problem quoted unambiguously precludes the possibility of an ace, yet many of us seem to incorrectly assume that the statement is equivalent to something like, 'One of the following describes the criterion used to select a hand of cards.....,' under which, an ace is likely. The interesting question is, why?

In order to see the question as interesting, though, I first have to see the effect as real.