Throughout this part, the movement does not proceed through the smooth accumulation of properties.
A new order arises when an existing structure exhausts the distinctions available within it and a radical distinction is put forward over its elementary state.
Not every section names such a leap. Some sections unfold the consequences of a distinction already established. Others mark the point at which an existing order can no longer continue through its own variations and must be radically restructured.
Directed Relational Organization#
Direction does not yet imply that anything is transferred.
It means only that a relation distinguishes from and toward, and that its operation is no longer equivalent in both orientations.
Within a differentiated relational field, such directed relations do not remain isolated.
Their operations enter into the continuation of other relations. One relation may sustain, constrain, redirect, or interrupt another according to the modes through which the field is organized.
Nothing passes between already constituted positions.
What develops is an oriented organization of relations.
As these operations repeat, the field acquires patterns of continuation. Particular relations may change while the broader organization repeatedly returns to the same order.
The field continues to move, but further variation increasingly reproduces its general organization.
Rest Within Movement#
Continued variation now produces a limit.
Relations continue to operate and change, yet their variations produce no further difference in the general organization of the field.
The field is not motionless. It remains active while further variation returns it to the same order.
This is rest produced within movement.
The field has reached an elementary state with respect to its current organization.
A radical distinction is put forward over the field as a whole.
In the line followed here, it distinguishes what varies from what remains through variation.
Through this distinction, what remains first acquires a determinate contour.
This contour is an invariant.
An invariant is not absolute immobility. It is a developed form of rest within movement: a contour that remains across variation.
Form#
An invariant is a contour that persists across variation.
A form appears when this persistence belongs not merely to the contour, but to an organization of variations whose recurring relations reproduce it.
The movement no longer merely leaves an invariant behind. Its recurring relations continue to produce the contour through which they remain organized.
A form is this reproducible continuity of organization across change.
Its stability does not mean complete immobility.
A form may persist through constant internal transformation.
A whirlpool persists while the water composing it changes. An organism replaces material while preserving a living organization, and a concept survives through different formulations.
In each case, the form is not identical to any particular element through which it is realized.
Form as such does not yet maintain itself.
Its organization may continue only because surrounding conditions reproduce the relations through which it persists.
Self-Preserving Form and Locality#
Passive persistence has a limit.
A form that remains stable only because its surroundings remain favorable contains no internal distinction through which it can preserve itself when those surroundings change.
Under repeated disturbance, passive persistence reaches exhaustion.
The form remains organized, but nothing within its organization yet distinguishes differences according to their consequences for its continuation.
The form enters an elementary state with respect to passive persistence under disturbance.
A radical distinction is put forward over the form as a whole.
In the line followed here, it takes the form of a difference between what supports the continuation of the form and what threatens or interrupts it.
The form begins to respond to differences in ways that maintain the organization through which it remains this form.
It becomes a self-preserving form.
Through self-preservation, the contour of the form acquires a new role.
It distinguishes the processes through which the form continues from conditions that affect those processes without belonging to them.
The contour thereby becomes an operative boundary between the form’s organization and its conditions.
A self-preserving form responds to differences across this boundary through its existing organization. But the rule of this response may remain fixed: an encounter changes what the form does without changing how it organizes the distinction between itself and its conditions.
A fixed self-preserving organization can respond only through distinctions already available within this rule.
Further encounters may change its actions, but they cannot reorganize the principle through which it responds.
As such encounters repeat, fixed response exhausts the differences it can produce. The self-preserving form enters an elementary state with respect to the organization of its boundary.
A radical distinction is put forward over this fixed organization.
In the line followed here, it is determined as the capacity of encounter to affect the organizing distinction itself.
This recursion distinguishes locality from self-preservation alone.
A locality has three inseparable moments:
- A boundary, distinguishing the form from what lies outside it.
- An internal organization, whose distinctions cooperate in maintaining the form.
- A mode of encounter, through which differences at the boundary alter the operations by which the form continues.
Locality begins when the boundary becomes operationally recursive.
The principle through which inside and outside are distinguished enters the field affected by the distinction.
The boundary enters the field it organizes.
Encounters at the boundary can now modify the operations through which that boundary is maintained.
This return does not require an explicit image or symbolic representation of the self.
A minimal locality may register its own condition only through changes that support or threaten its continuation.
Locality is therefore not simply a position inside a pre-existing space.
It is a position produced and held through the work of maintaining a distinction between here and not-here.
Identity arises in the same way.
Identity is not a substance hidden beneath change.
It is the active retention of a contour across transformations.
A locality may replace many of its elements and alter many of its operations while remaining itself, provided that these changes continue the work through which its boundary and organization are held.
Locality is therefore not isolation.
Its boundary belongs to the work of encounter and connection as much as to the work of separation.
Locality and the Possibility of Choice#
The same recursive structure that makes locality possible also opens the possibility of local choice.
A difference encountered by a locality can return upon the operations through which the locality continues.
Its consequences can therefore concern not only what the locality encounters, but what the locality itself will become through the encounter.
This does not mean that every change within a locality is a choice.
Choice becomes possible when different continuations become operative as alternatives and one is taken up in a way that alters the locality’s own continuation.
This does not yet require consciousness or an explicit representation of alternatives.
Locality therefore establishes the structural conditions of choice. Their development into self-determination belongs to the life of locality.