From: no_spam_anglewyrm@hotmail.com   
      
   "Aleks Jakulin" <"a_jakulin@"@hotmail.com> wrote in message   
   news:417ecd6e$1@news.unimelb.edu.au...   
   > AngleWyrm wrote:   
   > > Events A and B are independent if P( A intersect B ) = P(A) P(B)   
   >   
   > Consider the output of this program:   
   >   
   > a_from_b(A, state):   
   >     if A == 0:   
   >         return (state,1-state)   
   >     else   
   >         return (1-state,1-state)   
   >   
   > state = 0   
   > do:   
   >     B = coin_toss()   
   >     A,state = a_from_b(B,state)   
   >     print A, B   
   > until tired.   
   >Clearly, A is caused by B. Yet, asymptotically, P(A=a)P(B=b) = P(A=a,   
   >B=b) for every a,b, if B is tossed randomly. However, if B falls into   
   >a sync with State, they will not be independent. There are many such   
   >processes in the Real World.   
      
   Truth table constructed from the a_from_b function:   
   A state| out1 out2   
    0    0  |  0      1   
    0    1  |  1      0   
    1    0  |  1      1   
    1    1  |  0      0   
      
   It appears like the return values are: A,state = { xor(B,state), !state }. I   
   therefore disagree with the statement B causes A, and state instead that it is   
   the application of xor to the pair (B,state) that causes A. Neither B nor state   
   can be construed to be the cause.   
      
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