10 May 2010
See http://andreswhy.blogspot.com "The inside of Zero"
You need 26 dimensions to describe a non-rotating ArithI system .
See http://andreswhy.blogspot.com "NewTools-Reserves" for the argument that any reserve should be 1/3 .
Tarot =26*3=78 . The minimum sufficient necessary . The alphabet .
With rotations you need minimum sufficient 2x26=52 .
The rotations at minimum necessary should be through 4 dimensions . 3 Space and one time at a minimum necessary sufficient . These are the ArithII dimensions , and are completely specified by the rotations .Notice that they are subsumed by the 26*3 dimensions above .
This gives 52+4=56 , the number of minor arcana .
We know we only need 78 . So the remainder must be 22 .
So we have
26+26 = 52 (min necessary suff through dim rotations for ArithI systems)
4= dimensions needed for rotation (see 4colour theorem)
78 = 26x3 The minimum necessary sufficient for any set of dimensions .
The remainder is 78 – (52+4) = 22 dimensions for infinite feedback . Quite remarkable .
Note that 52/78 = 0.66666 . The reserve (remainder 1/3) is then the indeterminate element .
The major Arcana .is then Major . Not what I expected . 1/3 of the data in the system is in the Major Arcana . Make of it what you will .
A bit further on , you will be a really good poker player .