Induction is the phenomenon in which completed structure produces new properties. When a relational configuration stabilizes, its closure generates determinations that were not present in the original — new terms, new relations, new conditions that follow necessarily from what has been established.
Induction is the becoming side of determination. Its complement is incitement — the being side, where incomplete structure compels further action. The two together form the engine of relational dynamics: incitement drives action forward; induction generates the new structure that results.
In the formal system, induction corresponds to the output of the generative closure operator. Given existing acts and the constructors that operate on them, new acts are induced — earned as recognitions that pass all validation rules. The full universe of acts is the least fixed point of this inductive process.
The distinction between incitement and induction mirrors the distinction between what a structure needs (incitement) and what it produces (induction). A closure operator both incites (by demanding that its input be stabilized) and induces (by producing the stabilized output).
Derivational context
Induction as a named phenomenon becomes visible in Movement III: Directed Dynamics, where the two complementary modes of determination — incitement and induction — are formally distinguished. Incitement is the being side (what incomplete structure compels); induction is the becoming side (what completed structure produces). The interplay between them describes how relational dynamics propagate through all five movements.
Related
- Incitement — the complementary phenomenon
- Closure — the operator through which induction occurs
- Recognition — what induction produces