A semiotic system, as derived, is:
- a structured potential of alternatives,
- organised as choice (paradigmatic),
- configured through relations (syntagmatic),
- constituting its own domain of meaning.
This is sufficient to describe:
- how meaning is possible,
- how construal operates,
- how complexity is constructed.
It is not yet sufficient to explain:
how the system persists as a system across instances.
1. The problem of recurrence
For a system to exist:
- construals must recur,
- distinctions must be maintained,
- relations must persist across instances.
Otherwise:
each instance would be self-contained,
and no system would be formed.
2. Why repetition is not enough
It might be supposed that:
- repeated similar acts produce stability.
But repetition alone:
- does not secure identity,
- does not preserve distinctions,
- does not maintain relations.
Because:
each instance is locally enacted.
Without systemic constraint:
repetition is variation without continuity.
3. The necessity of invariance
What is required is not repetition, but:
invariance across variation.
That is:
-
something must remain stable
across different instances of construal, - even as selections and configurations vary.
This invariance:
- defines the system as a system,
- and allows it to persist.
4. Instantiation (actualisation) as the relevant relation
We can now specify the relation involved.
The relation between:
- system (potential),
- and instance (construal),
is:
instantiation (actualisation).
That is:
- the system defines a space of possible selections,
- instances actualise specific configurations within that space.
No instance:
- contains the system,
- nor expresses it as a higher level.
Each instance:
enacts a selection from systemic potential.
5. Stability through constrained actualisation
Stability arises because:
- instances do not vary freely,
- selections are constrained by paradigmatic organisation,
- configurations are constrained by syntagmatic relations.
Thus:
each instance is an actualisation under systemic constraint.
It is this constraint that ensures:
- distinctions are preserved,
- relations remain intact,
- and identity persists across variation.
6. The distribution of invariance
Stability does not reside in:
- particular forms,
- individual selections,
- or isolated configurations.
It resides in:
the organisation of the system as a whole.
That is:
- invariance is distributed across paradigmatic relations,
- maintained through recurring patterns of selection,
- and sustained across multiple actualisations.
7. The necessity of redundancy
A crucial feature follows.
For stability to hold:
the system must be redundant.
Not as duplication,
but as:
multiple pathways for actualising the same distinctions.
This allows:
- variation without loss of identity,
- flexibility without collapse,
- persistence across differing instances.
8. Why redundancy is structural
Without redundancy:
- each distinction would depend on a single configuration,
- variation would destroy identity,
- and the system would be fragile.
With redundancy:
stability is distributed across the system’s organisation.
9. Coherence as systemic effect
Coherence arises when:
- distinctions are consistently maintained,
- relations persist across instances,
- variation remains within systemic limits.
This is not:
- imposed from outside,
- nor enforced by repetition,
but:
an effect of constrained actualisation.
10. Integrating potential and instance
We can now state the relation precisely:
- the system defines potential,
- instances actualise selections,
- constraint preserves invariance,
- redundancy distributes stability.
Together, these ensure:
the persistence of the semiotic system across instances.
11. The system completed
At this point, the semiotic system is fully specified:
- construal as primitive
- system as structured potential
- choice as organisation of alternatives
- configuration as relations across selections
- domain constituted through construal
- stability maintained through constrained actualisation and redundancy
The architecture is now internally consistent.
12. What follows
What remains is not to complete the system—
but to examine its consequences.
Because a system organised in this way:
- is not static,
- not fixed,
- not closed.
It is:
intrinsically dynamic under constraint.
The next step is therefore:
to determine how such a system changes without ceasing to be itself.
That is:
how semiotic organisation evolves from within its own constraints.
Only then will the account move from structure to transformation.
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