Reciprocity, Sustainability and the Conservation of Distinction.

Reciprocity plays a pivotal role in the sustainability of a system. With reciprocity, the component states can cycle into one another as if they are exchanging signals that link their functions together as a unified whole. Each state change is accompanied by a dual, such that the distinctions from which the states are constructed are conserved. Thus when two states mutually negate, they afford two distinct zeroes. This duality ensures sustainability, because it preserves the integrity of the distinctions. The system is at all times controlled from two sides.

Systems wherein two states can mutually interact to afford two indistinguishable states (as in one and the same zero) are not sustainable, because information they encode and transmit through their exchange interactions is lost. This is why all financial systems eventually fail.

In Plato’s account of the Last Days of Socrates in Phaedo, Socrates states:

“Why upon my word . . . I cannot even convince myself that when you add one to one either the first or the second one becomes two, or they both become two by the addition of the one to the other.”

Taking this idea a step further, when (+1) is added to (-1), which one turns the other one into zero, or do they both become zero by the addition of one to the other? What if each turns the other into distinct zeroes?

A distinction separates that which is being distinguished from that which is not to afford an oppositional pair. The distinction must be tracked from the sides of both oppositional pair members to avoid either pair member being assigned an absolute identity and meaning independent of the distinction. Otherwise one pair member would be privileged over the other. The pair members are defined by reference to themselves and their complement. All coding and processing of information about relationships needs to respect this.

Nothing is the presence of an absence. Nothing is the absence of a presence. Nothing ≠ Nothing.

A chiralkine system conserves distinction. Each state cycles into another state accompanied by a dual transformation. Reciprocity is assured.

Through the conservation of distinction, transfers of things can be effected reciprocally, as illustrated here for the transfer of carrots coupled with the transfer of peas and the mirror opposite transfer of bread.