Recursion and Self-Reference

The definition (876)

Note 876 opens with a precise account:

"The concept of recursion is the structure in which a definition contains as a part a reference to this very whole definition. Think of seeing yourself endlessly reflected by a mirror in front and one behind you, as if you were in a tunnel."

Three consequences follow:

The stop condition problem: without a forced halt, recursive structures are endless. "The absence of a stop condition causes values to infinitely self enforce. This Self inflation (or feedback loop) grows out of control and eventually bursts like a bubble."
The exclusion of the outside: "The prerequisite of recursion — the demand for self referentiality — immediately also forbids reference to anything outside of itself."
The identity claim: this exclusion of the outside "reveals the true identity of radical autonomy." Radical autonomy is not freedom as openness to the world — it is self-enclosure, self-definition, the refusal of external reference.

The note concludes with a universalizing move: "everything exists solely through self-definition." Recursion is not just a structural property of certain definitions — it is the condition of all existence.

Forms recursion takes across the practice

Visual / spatial: mise en abyme (878)

Note 878 documents mise en abyme: "Prints of cell phone photo of white cube gallery floor, arranged according to the Laws of Chance, then aligned." The title names the visual structure: an image that contains a smaller version of itself, which contains a smaller version, ad infinitum. The gallery floor photographed within the gallery where it is displayed; the photograph made into prints arranged on that same floor.

The formal recursion is doubled by the process: chance arrangement followed by alignment. Note 856 observes: "The relatively ordered appearance suggests, however, that the artist did not fully relinquish artistic control." Even in a structure aspiring to self-containment through chance, the maker's hand persists. Complete radical autonomy may be an asymptote, not an achieved state.

Documentary: The Work = The Work + Its Documentation (992)

Note 992 states the formula:

The Work = The Work + Its Documentation

The equation is recursive: documentation is constitutive of the work, so the work includes its own documentation, which is part of the work, which includes its own documentation. The record contains what it records; the work contains what accounts for it. There is no outside. This is the documentary form of radical autonomy — the work that needs no external criterion because it carries its criterion within itself.

Titular / linguistic: Senescenence

The exhibition title Senescenence is an intentional misspelling described as "recursive." The word performs what it names. A text on aging has aged in transmission; the error is not a typo but an enactment. The title deteriorates in the act of naming deterioration — a definition that contains a reference to the process it defines (→ Senescenence).

Architectural: Recursive Intervention (2023)

Recursive Intervention: "The exhibition space and the works in it are reflected by a ready-made mirroring inflatable, causing the space to contain a compressed version of itself." The room sees itself; the space contains the space. Recursion made architecturally inhabitable — visitors move inside a structure that includes them within its self-image (→ works-overview).

Computational: feedback loops

The artist bio describes "feedback loops" as a design principle. In 709 (artist statement), the feedback loop is described as a condition of complexity: "every single parameter depends on all the others, and my interference amplifies as a feedback loop." A feedback loop is computational recursion: the output feeds back as input, the system at each step includes its own previous state. The system cannot refer outside itself — it operates on its own history (→ subconscious computation).

Systemic: Dissociations as self-training archive

The Dissociations platform trained an algorithm by having the artist eliminate the least coherent element from each trio of notes — the vault we are reading. What the algorithm learned is encoded in the "Related" sections of the notes. The vault is the training data and the output of the trained system. It contains within itself the record of the process that shaped it. This is the institutional form of recursive self-definition (→ protocol, taste, and systems).

The halting problem as the technical version of the stop-condition problem

Note 876 identifies the stop-condition problem: without a forced halt, recursive structures self-inflate and "eventually burst like a bubble." The same problem appears at the level of code: most mutations of computer code produce infinite loops or crashes. This is the halting problem — the provably undecidable question of whether a program will terminate.

Van den Dorpel's solution, in building Mutant Garden, was Cartesian Genetic Programming (CGP): a graph-based representation that constrains mutation to safe computational operations. The graph topology is an internal architectural limit that keeps mutation possible without self-destruction. In other words: creative recursion requires an engineered stop condition. See evolutionary logic for the full account.

Radical autonomy and its costs

Note 876 is careful about what radical autonomy entails. Recursion "forbids reference to anything outside of itself." This is not described approvingly — it is "exclusive and aggressively jealous." The self-inflating system "eventually bursts like a bubble." Radical autonomy is identified as the logical consequence of recursion, not held up as an ideal.

The tension this creates runs through the practice: the system that cannot refer outside itself cannot be accountable to anything outside itself — no external criterion, no external validation, no exit from the loop. But the stop condition problem shows that unchecked recursion destroys itself. The systems in the work typically have built-in thresholds: the cellular automaton reconfigures when it reaches equilibrium; the artist eliminates the least coherent element; the generative organism is allowed to die. These are internal stop conditions — the recursion contains its own limit.

Connection to the semiotic square

The semiotic square maps the logical space of positions (New/Old/Different/Same). Note 876 links directly to 901 (New and Different). The connection: "withdrawing from the endless struggle for the New and the Different" — refusing to be positioned by external cultural criteria — is itself a recursive move. The work that refuses to be located by external reference is enacting the self-enclosure that 876 defines as radical autonomy. The semiotic square names this refusal as "Not New" and "Not Different" — but the note goes further: the refusal of external reference is the structure of all existence.