Saturday, 29 November 2025

Readiness as Categorial Grammar: Inclination, Ability, and the Architecture of Potential: 3 Inclination as Endogenous Structure: Internal Morphism Pressure

If the first two posts established the terrain—readiness as structured potential, and category theory as the grammar of that potential—this post makes the first deep incision into the structure itself.

We focus on inclination.

Not as desire.
Not as motivation.
Not as affect.
But as an endogenous asymmetry inside a system’s morphic topology—a bias in the patterning of transitions that gives potential its directionality from within.

This post demonstrates that inclination is nothing more and nothing less than internal morphism pressure.


1. What “Endogenous” Means in a Relational Ontology

In a relational ontology, “internal” does not mean spatially inside, or psychologically inside, or biologically inside.

Internal = a pattern intrinsic to the organisation of potential itself.

To say inclination is endogenous is to say:

  • it is not projected from outside

  • it is not imposed as obligation

  • it is not a property layered onto the actor

  • it is part of the actor as a node of potential

The actor is the organisation of potential that includes its own biases.

Inclination is not something the actor “has.”
It is something the actor is, at the level of its internal morphic configuration.


2. Every Potential Has a Shape; Every Shape Has Biases

Potential is never neutral.
A structured system always has:

  • gradients

  • asymmetries

  • preferential pathways

  • resistant regions

  • attractors and deflectors

  • internal coherence lines along which transitions tend to run

These do not require intention or choice.
They are geometric and relational.

Category theory tells us something powerful here:

  • morphisms never float freely

  • they collect into patterns

  • certain morphisms interlock more tightly

  • others compose more easily

  • some have many incoming or outgoing paths

  • others sit in relative isolation

This internal patterning is inclination.


3. Morphism Pressure: The Heart of Inclination

We now give inclination its precise categorical interpretation:

Inclination = the internal pressure exerted by the system’s morphism topology toward certain classes of transitions.

Pressure, in this sense, is not force.
It is coherence density.

A transition is “inclined” when:

  • its morphisms are densely integrated into the internal structure

  • its compositions are richly supported

  • its pathways are easier to extend

  • its inversions (if any) are difficult or impossible

  • its entry and exit points are structurally favoured

Inclination = structural momentum inside potential.

Not psychological momentum.
Not causal momentum.
Morphic momentum.


4. Inclination Is Not Teleology

A crucial clarification:

Inclination does not mean:

  • the potential is trying to achieve something

  • the system has a goal

  • the actor has a preference

  • there is a direction “toward” which the system is destined

Inclination is not purposive.
It is topological.

Just as water flows along a gradient not because it wants to but because that is the structure of potential in the field, a system expresses inclination simply because its morphisms are organised in such a way that certain transitions are more coherent than others.

This is the core insight:

Inclination is topology, not teleology.


5. Every Actor Is a Field of Inclination

An actor, in this framework, is a node where internal morphism pressure takes shape as readiness.

For any actor construed within potential:

  • what transitions are coherent internally

  • what transitions extend the actor’s pattern

  • what transitions warp or destabilise it

  • what transitions heighten or minimise structural tension

These factors constitute its inclination.

In this light, readiness begins to look like:

  • inclination: the internal architecture of “what would cohere if actualised”

  • ability: the external architecture of “what would remain coherent globally if actualised”

Inclination is the actor’s inner map of future coherence.

Ability (next post) will be its outer map of external coherence.


6. Why Inclination is Inherently Categorical

All of this can be stated cleanly in the language of category theory:

  • a system’s internal morphisms determine its local topology

  • that topology determines composition patterns

  • composition patterns determine morphism density

  • morphism density determines coherence pathways

  • coherence pathways determine inclination

Thus inclination is the local directionality of possible composition.

We can express this succinctly:

Inclination = the local ordering of potential induced by internal compositional structure.

This will become the basis for treating readiness functorially later.

Inclination is the part of readiness that comes from inside the functor’s domain:
its own local structure.


7. The Cut We Have Now Made

We now have:

  • Post 1: readiness = structured potential

  • Post 2: category theory = grammar of structured potential

  • Post 3: inclination = internal morphism pressure (endogenous topology)

The next post (Post 4) will introduce the complementary structure:

ability = exogenous morphism compatibility

If inclination is the gradient within potential,
ability is the doorway between potentials.

Together they will give us readiness in full categorical clarity.

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