Drawing and Clearing Distinctions Defining an Object

A first object emerges while a first mirror symmetric distinction is being drawn between what it is and what it is not. Both sides of the first distinction (is and not) are present, but only one side is observed.

The first object does not emerge while a first mirror symmetric distinction is not being drawn between what it is and what it is not.

Emerge and not emerge (distinct and same) are two sides of a second distinction being drawn – a second object. Both sides of the second distinction (is and not) are present, but only one side is observed. The two sides of the first distinction and the two sides of the second distinction are not present in one another, yet are interconnected. Drawing one distinction clears another.

For example, in an economy each participant starts out with an offer and a want, for instance Person A offers carrots and wants peas and Person B offers peas and wants oranges. The first object is defined by drawing a distinction between an offer and a want. After each person has exchanged what they have to offer for what they want in a cycle of exchanges, the distinction defining the first object has been cleared and a second distinction has been drawn, being that between cleared and not cleared. It follows that while the first distinction was being drawn, the second was not. They are coupled. This coupling is inherent in the symmetry of Order 4: there are six ways of permuting four objects in a ring. Look closely and you can see the six: first distinction (is and not), second distinction (is and not) and a third distinction (is being drawn and is not being drawn).

It is as if each object is defined not just by one mirror symmetric distinction being drawn between what it is and is not and another dynamically between what it is to be a cube (3D) where opponents are aligned in opposition and not a cube where they are not.

Another way to visualise this is to imagine three rings in a row, the outer two being fixed in mirror image orientations and the inner ring being rotatable relative to the other two. The three rings are read as two ordered pairs (four rings in all), one member being one of the fixed rings and the other the rotatable ring. The contribution of the rotatable ring is thus being duplicated, as happens when breaking bilateral symmetry in a skew hexagon. The three rings have a mirror reflection, so there are six letters altogether in each row.

When one pair is distinct (aA), the other is not (AA). During a cycle, the pairs become entangled (aB and BA, ac and cA, and so on). Entangling the pairs clears the distinction between “same” and “different”!