We have two logical systems which are themselves complementary. 

The first is the quantitative rational system of partial separation, where opposites are clearly differentiated. This is the either/or logic, with statements having an absolute truth value which can be represented in terms of the binary digits 1 and 0. The miracles of our modern computer age derive from this system where even the most complex information can be represesented in binary digital form. 
 

Qualitative Binary System

The second is the qualitative intuitive system of holistic integration, where opposites are now clearly complementary (and ultimately identical). This is the both/and logic with statements having a relative truth value and is the principle of all systems of transformation (e.g. physical and psychological). It too can be represented in binary digital form where now 1= 0. Indeed the highest level of mystical personality development is sometimes referred to as a plenum-void (where union and nothingness coincide). Mathematically this can be appreciated in terms of the following simple binary number identity: 1⁰ = 1. Here the (vertical) number as quality which is 0 is equal to the (horizontal) number as quantity which is 1. Thus in psychological qualitative terms full mystical transformation accurately demonstrates this second binary system where a holistic non-dimensional experience of reality (0) is unity (1).

Putting it another way the rational binary system is a horizontal, whereas the intuitive binary system is a vertical approach to reality. 
 

Double Binary Approach

A comprehensive approach clearly involves both the horizontal and vertical binary systems in what I refer to as a double binary approach. 

This double binary system involves both separation and complementarity. 

1 representing an on state vertically (intuition), equally represents an off state horizontally (reason), where it is 0. In complementary terms 1 representing an on state horizontally (reason), equally represents an off state vertically (intuition), where again it is 0. Thus in terms of both horizontal and vertical scales (considered separately), a state is either on or off. However when these scales are related, states are both on and off simultaneously. 

Reality in fact can be seen as a dynamic double binary system of control and response incorporating both information and transformation. This is true of both physical and psychological aspects. (Indeed reason is essentially a system of control and intuition one of response.) 

Just as quantitatively, all information can be translated in binary terms, also qualitatively, all information can equally be translated in binary terms. However, whereas the interpretation of binary information is understood in partial (rational) terms, the corresponding qualitative transformation must be understood in holistic (intuitive) terms. 

This double binary system is not just an artificial attempt at translating reality. In the deepest sense it is the way reality actually functions at all levels i.e. as a complex computer network, incorporating information and transformation processes simultaneously.