True or False?

 

The Hallelujah Chorus

King of Kings
For ever and ever
Hallelujah! Hallelujah!
And Lord of Lords
For ever and ever
Hallelujah! Hallelujah! 

For ever is an INFINITE amount of time. 

In a recent blog post https://dbeagan.blogspot.com/2024/12/intentions.html. I discussed payout tables, matrices. It is also possible to define these payout matrices using an equation of N replacing x.  In this case the payout matrix might be 

The certainty is 100% if the sum of C₁+C₂+C₃+C₄ is equal to 0. As N approaches infinity then ∞/(σ*N) also approaches 1 and the marginal of the true column of the matrix is greater the marginal of false column if  -1+C₁+C₃> C₂+C₄.  As N approaches 0 then ∞/(σ*N) also approaches 0 , and the marginal of the true column is greater than marginal of the false column if  1+C₁+C₃<C₂+C₄. 

For the payout matrix to be true, C₃ must be equal to 0.  For the payout matrix to be normal, C₂ must be equal to C₄.  A normal AND true matrix has a solution of C₁=2/3,  C₃ =0, and C₂=C₄=-1/3.  There is NO normal distribution of N that is false.  For an absolute, infinity, the payout matrices have to be  

absolutely true,  dominantly true, dominantly false,  and 

absolutely false.

Only the first two matrices are always true.  It is acceptable to have a payout matrix that is certain and true, but it should not be acceptable to have a payout matrix that is certain and false.  Similarly it is possible to have a payout matrix where N follows a normal distribution, and while it is possible to have a payout matrix that is false, the N members of that group would have to follow an ABnormal distribution. As stated previously, as N approaches INFINITY that ABnormal matrix would also have to be false.

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