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Showing posts from 2012

Forehead Numbers Brain Teaser of Khan Academy

Today I remembered a little brainteaser I saw on Khan Academy quite a while back:   Khan Academy Link  or  Youtube Link What surprises me though is that people still seem to think that there are values for which this can not be solved. My conjecture is that it CAN be solved for all 3-tuples of numbers provided that the participants know that they are unique. I would recommend seeing the teaser and understanding the logic behind it before reading further. 3 years ago, when I first saw this, I posted a reply on Youtube describing the same 'game' from the perspective of a player who sees 15 and 11. For the sake of simplicity we'll call the player with 15 A and the one with 11 on his forehead C. Therefore the game is described from the perspective of B: A-pass B-pass C-pass A-pass B-pass C-pass A-pass B-pass C-pass A-figures out his number (15) B-figures out his number also C-figures out his number as well (11) The question then is, what is B's number (

Consciousness

Hello again, after quite some time, I decided again to write some of my thoughts on my little corner of the internet. The topics I'll write about are consciousness and intelligence along with bits and bobs I've read in my past time. Finally I'll describe a thought that came to me yesterday regarding the Halting Problem and if somebody (not "something") could solve it. I should start with the idea of self-consciousness and how it could be described. The starting point for this, one could say, is the film "The Prestige". The film poses one interesting question, that is, "if I could copy all of the molecules in my body (in effect, perfect cloning) would there be any distinction between me and my clone?" From the outside, of course, not. But! internally, there should still be the concept of a me and my clone. My opinion is that there isn't such a concept. Think of it this way: let's say I have two pods, one of them painted red and one o