A frequent question arising from recent posts is whether our relational ontology draws a distinction between coherence and self-consistency. The answer is yes—and the difference is central.
Where classical or formalist systems may treat these concepts as interchangeable, relational ontology insists they play distinct roles in the architecture of meaning.
🔹 Self-Consistency
Self-consistency is a formal property: a system is self-consistent if it does not contradict itself according to its own rules.
-
In logic: no contradiction can be derived (e.g., both P and ¬P).
-
In formal systems (as in Gödel): a consistent system does not prove falsehoods from its axioms.
In relational ontology, self-consistency is treated as a local syntactic constraint within a given construal. It’s necessary, but not sufficient for meaning.
🔹 Coherence
Coherence, by contrast, is a relational-semiotic property. It concerns the way a construal hangs together as a meaningful cut in the relational field:
-
Are its foregroundings and backgroundings aligned?
-
Does it maintain the integrity of its own distinctions?
-
Does it avoid collapsing construal levels (e.g., treating a metasemiotic stance as if it were first-order)?
A construal can be perfectly self-consistent and still fail to cohere—for instance, if it violates its own framing assumptions or elides its own relational dependencies.
In our ontology, coherence is the deeper standard: it governs what counts as intelligible or meaningful within a field of potential.
✴ Key Distinctions
| Concept | Scope | Nature | Role in Relational Ontology |
|---|---|---|---|
| Self-consistency | Local / Formal | Syntactic | A constraint internal to a given construal |
| Coherence | Relational / Ontological | Semiotic-structural | Governs the legitimacy and integrity of construal itself |
An Example from Gödel
A formalist might say:
“The system is consistent, but incomplete.”
In relational ontology, we ask a different question:
Is the construal coherent?
If it relies on a totalising frame while denying totalisation, or collapses the levels of semiosis it depends on, then it is incoherent, even if logically consistent.
In Sum
-
Self-consistency matters, but coherence goes deeper.
-
Formal validity is not the same as ontological integrity.
-
In relational ontology, truth, meaning, and intelligibility depend on the coherence of the cut—not just on what the syntax permits.
No comments:
Post a Comment