Dialogue VII – On Allocation and Potential

Characters:

• Professor Quillibrace – dry, precise, quietly surgical
• Mr Blottisham – confident, impatient, heroically confused
• Miss Elowen Stray – attentive, reflective, structurally perceptive

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Scene: The trio stands before a diagram depicting semiotic repertoires (reservoir → repertoire) alongside social distributions (collective → individual), with shaded areas showing probabilistic density of potential.

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Mr Blottisham: So… now we’re talking about allocation? Is this just about who gets to be where, or is there more to it?

Professor Quillibrace: [dryly] More. Allocation concerns the uneven distribution of potential, whether semiotic or social. But remember, persons are not potentials. Confusing the two is a common pitfall.

Miss Elowen Stray: Exactly. In the semiotic domain, potential is the reservoir of patterns. Some repertoire types are more likely to be instantiated because the reservoir is richer in those patterns.

Mr Blottisham: And socially?

Miss Elowen Stray: Social allocation is about the distribution of influence, value, or opportunity across participants. Some individuals are more likely to co-actualise meaning simply because they occupy positions with higher potential to act.

Professor Quillibrace: Crucially, allocation shapes probabilities — it constrains what is likely to occur. It does not determine the semiotic differentiation itself, nor the intrinsic individuation of social actors.

Mr Blottisham: So a prominent participant could keep performing the same repertoire, but the richness of the reservoir gives others chances to introduce novelty?

Miss Elowen Stray: Exactly. Allocation interacts with co-actualisation probabilistically. Some patterns are instantiated more frequently, some social positions enable more opportunities, but the axes of differentiation remain orthogonal.

Professor Quillibrace: Formally, if $P(E | R)$ is the probability of a semiotic instance $E$ given the reservoir $R$, and $P(E | C)$ is the probability given social collective $C$, the combined likelihood of co-actualisation is:

$$P(E\mathrm{\mid }R,C)=f(P(E\mathrm{\mid }R),P(E\mathrm{\mid }C))$$

Where $f$ reflects constraint interactions, not causal generation.

Mr Blottisham: [squinting] So, allocation is like the shape of the landscape, guiding which paths are likely, but not forcing which individual seeds sprout where.

Miss Elowen Stray: Beautifully said. And recognising this lets us distinguish true individuation from social prominence, co-actualisation from allocation-driven coincidence, and probabilistic constraints from intrinsic identity.

Professor Quillibrace: Which, in turn, clarifies the distinction between social systems (value) and semiotic systems (meaning) — a distinction too often blurred.

Mr Blottisham: [grinning] Ah! So allocation explains the probabilities without stealing the soul of the semiotic or social pattern.

Miss Elowen Stray: Precisely. And with that, we have traversed the landscape: differentiation, orthogonality, co-actualisation, identity, continuity, and allocation. The principles are now clear, distinct, and analytically powerful.

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End Scene