Note 26 - Relationship between the Analytic and Holistic Binary Systems

As we have in the analytic binary system the digits are clearly distinguished

So 1 is not equal to 0; also 0 is not equal to 1.

So the digit can be either 1 or 0 (but not both simultaneously). As we would expect in a linear system 1 has here a merely positive direction.

By contrast in the holistic binary system the digits are clearly related. What this entails is that 1 has both positive and negative directions which in dynamic terms continually interact.

So ultimately in this dynamic system 1 (i.e. 1 - 1) = 0 and 0 = 1 (i.e. 1 - 1).

So whereas the (linear) binary system represents a means of potentially encoding all information processes, by contrast the (circular) binary system represents the corresponding means of encoding all transformation processes.

However there are other notable distinctions as between both systems.

In the analytic system the digits are given a solely real interpretation (e.g. 1 is a real number).

However in the holistic system the digits are given real, imaginary and complex (i.e. simultaneously both real and imaginary) interpretations.

This threefold interpretation enables us in turn to define reality dynamically in terms of horizontal (real) vertical (imaginary) and diagonal (complex) polarities.

So we can see that the analytic system is a very much reduced version with imaginary and complex interpretations reduced to what is real.

However fascinatingly, the comprehensive holistic system would suggest the existence of an equally comprehensive analytic system.

It is my contention that we are already beginning to glimpse this more comprehensive system.

For example the search is on for biological "computers" such as cellular automata which will potentially enable - literally - more complex types of information processing. These would in principle correspond to the analytic counterpart of the comprehensive holistic binary system.

So ultimately in a true radial approach both systems will be required

1) the analytic for the precise encoding of the differentiation of phenomena
2) the holistic for the precise encoding of their corresponding integration