Constraint, Construal, and Actualisation: A Relational Ontology — Chapter 3: What Independence Requires

3.1 Independence as a Claim

We begin with the minimal statement of the concept:

Independence: the existence and nature of an entity or state does not depend on the act of observation, reference, or any construal by a perceiver, theorist, or system of representation.

This is the form that must be granted if independence is to have content. Anything weaker is trivial; anything stronger is immediately implausible.

Note that the claim is not psychological. It does not assert belief or perception. It asserts ontological separateness.

To make the claim intelligible, it must be specified. “Existence” and “nature” are insufficient placeholders; they demand operational conditions.

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3.2 Specification Requires Distinction

To define an independent entity, one must:

1. Identify it: distinguish the entity from its surroundings, other entities, or states.

2. Characterize it: ascribe properties, relations, or behaviors.

3. Reference it: enable communication about it without ambiguity.

Each step introduces an unavoidable dependence:

• Distinction requires a framework that separates one element from another.

• Characterization requires parameters, constraints, or a schema for assignment.

• Reference requires a mapping to symbols, signs, or identifiers.

Every specification step presupposes some system that construes entities and properties, even if that system is never made explicit.

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3.3 Determination Requires a Context

Independence implies that entities possess determinate properties regardless of observation. But determination is not self-sufficient:

• A property can only be stated or ascribed relative to a frame.

• Relations between properties require criteria for comparison.

• “Determinate” itself presupposes the possibility of distinguishing one value from another.

Therefore, the concept of an entity with determinate properties implicitly assumes constraints on how distinctions are drawn and referenced, i.e., it presupposes what will later be named construal.

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3.4 The Hidden Dependence

We can now see the tension:

• Independence claims that an entity is self-contained, unaffected by any act of specification.

• But to say what independence is, we must perform acts of specification.

• Each act of specification relies on a functional structure that independence explicitly denies.

Formally:

Let $\mathrm{<i>E</i>}$ be an entity claimed to be independent.
To assert any property $P(E)$, we must invoke a system $\mathrm{<i>S</i>}$ capable of distinguishing $\mathrm{<i>E</i>}$ and $\mathrm{<i>P</i>}$.
$\mathrm{<i>S</i>}$ cannot be part of $\mathrm{<i>E</i>}$, for that would collapse independence.
Therefore, independence as asserted requires reference to a system that is outside itself but necessary for its definition.

This is the first structural crack.

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3.5 Independence Cannot Specify Itself

Every attempt to make independence precise encounters the same constraint:

1. Identification → requires distinction → requires construal.

2. Characterisation → requires reference frame → requires construal.

3. Determination → requires comparability → requires construal.

No step avoids invoking a condition that independence claims it does not need.

The stronger independence is demanded, the more it relies on what it excludes.

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3.6 Preparing the Collapse

At this point, independence is still formally present. We have not replaced it. We have only isolated its structural demands.

The reader should now be able to see:

• Any specification of an independent entity is entangled with a system of differentiation and reference.

• This entanglement is unavoidable.

• Yet, independence claims it does not exist.

Chapter 4 will take the next step: showing that these demands render independence incoherent.

For now, the purpose of this chapter is clear:

• We have elicited the strongest version of independence.

• We have exposed the functional conditions it requires.

• We have prepared the reader to see the impossibility without introducing alternatives.

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Tight Summary

1. Independence asserts entities exist and have properties without construal.

2. Specification of any entity requires distinction, characterisation, and reference.

3. Each requirement implicitly invokes construal.

4. Therefore, the concept of independence cannot be made precise without contradiction.