deletions | additions       diff --git a/Introduction.tex b/Introduction.tex  index bda420a..1cac86c 100644  --- a/Introduction.tex  +++ b/Introduction.tex 
...
\to10011\to19  \end{equation}  In this space, to travel in "direction 19" would then be to move along the vector as above. This adds a simple interpretation of dimensionality to counting. Each number is a unique axis direction  which is a combination of one or more of the basis axes 1,2,4,8... So, binary counting  has a direction. representation on large dimensional spaces.  If 1 is the vector (1,0) and 2 is the vector (0,1) then 3 =1+2 = (1,1), true.  Verify for products.  require 2x3=6 say, then (0,1,0)x(1,1,0)=(0,1,1) but also enforce commutation (1,1,0)x(0,1,0)=(0,1,1).