The Impossible Ideal

Narrative Arc

I. Three registers, one impossible destination

The curriculum opened with a simple but unsettling observation: art has always reached toward what it cannot grasp. Across very different traditions, the unreachable turns out to be the point.

But "infinity" is not a single thing. The course has taken you through three fundamentally different registers in which artists have pursued it, and the capstone begins by naming them clearly.

The mathematical register treats infinity as structure — a property of systems and rules. Escher's recursive tessellations, Borges's Library of Babel, Steve Reich's phasing works: all three generate inexhaustibility not from emotion or vision but from the deterministic application of simple operations. Reich was explicit about this. In his 1968 essay "Music as a Gradual Process", he insisted that his processes are "not left up to chance, in any sense of the word; it couldn't be more determined." In Come Out (1966), two tape machines playing identical loops at imperceptibly different speeds drift apart until a single voice becomes a dense, shimmering texture of layered voices — infinity produced not by artistic intention but by mechanical law. The compositional material is finite and enumerable. The perceptual outcomes are not: human attention cannot hold all the melodic paths simultaneously, so every listening is a different act of selection from a set too large to exhaust.

The theological register treats infinity as origin — the ground from which finite things derive whatever reality they have. Plato's Theory of Forms gives this its classical shape: physical objects are real only insofar as they participate in eternal, immutable Forms; art, which imitates already-derivative physical things, occupies the lowest ontological rung. The charge is not merely aesthetic but moral — mimesis is deceptive because it presents appearances as if they possessed the reality they merely resemble. Renaissance Neoplatonism, through Ficino's synthesis, inverted the verdict without abandoning the hierarchy: Platonic Forms became archetypes in the divine mind, and art pursuing idealized beauty — mathematical proportion, sacred geometry, anatomical perfection — became a pathway toward God rather than a departure from truth. The aim was still participation in an infinite original; the difference was that art was now allowed to point the way. Feminist aesthetics, emerging in the 1970s, identified this hierarchy itself as the problem: the valorization of abstract ideals over material practice encoded masculine-centered epistemologies, treating the immaterial and universal as inherently superior to the embodied and particular.

The phenomenological register treats infinity as experience — something that happens to a body in time. Kusama's Infinity Mirror Rooms do not represent infinity; they dissolve the border between viewer and image until the self becomes part of an endless proliferation it cannot locate itself within. Kiefer's monumental installations — some spanning 24 metres of burnt lead and ash — create a temporal depth that the viewer cannot exhaust in a single encounter. Rational comprehension of the total form is defeated; what remains is the overwhelming fact of embodied presence before something too large to hold. This is close to what Kant described as the mathematical sublime — the mind's confrontation with magnitude that defeats its powers of rational comprehension — though Kant restricted the sublime to raw nature and excluded art with determinate ends. Contemporary scholarship has proposed extensions — the "mannerist sublime" and "matterist sublime" — to account for how contemporary artworks can occasion this experience through material expression and aesthetic ideas rather than pure magnitude.

These three registers are not interchangeable. They generate different kinds of inexhaustibility, make different demands on the viewer, and fail in different ways when pushed to their limits.

II. Temporal and spatial: two axes of the infinite

One of the sharpest distinctions running through the curriculum is between infinity rendered in space and infinity rendered in time. Most Western visual art — think of Escher's tessellations, or Renaissance geometric proportion — presents infinity as something you can stand in front of and take in as a totality, however impossible that totality may ultimately prove. The infinite is there, extended before you.

Process music and Chinese landscape painting work differently. They render infinity as something that unfolds, requiring duration to exist at all.

Reich's phasing works and Ligeti's micropolyphony offer contrasting models of temporal infinity. Reich builds from mathematical determinism: simple patterns drift into and out of phase, generating emergent complexity through iteration. The process is audible — this is non-negotiable for Reich. The listener must be able to perceive the unfolding in real time; infinity is not an abstraction but an audible, experiential phenomenon. Ligeti takes the opposite path. Micropolyphony piles many simultaneous voices moving at subtly different tempos into dense clusters that the ear cannot resolve into individual lines. In Continuum and Lux Aeterna, the polyphonic structure remains hidden; what emerges is a shimmering, static texture that is simultaneously in perpetual micro-movement — temporal infinity as textural endlessness rather than pattern multiplication.

Where Reich gives you infinity by revealing its mechanism, Ligeti gives you infinity by hiding it.

Chinese shanshui (mountain-water) painting extends the temporal axis in a different direction. The handscroll is not a window but a journey: unrolled from right to left, it reveals landscape sequentially, giving the viewer the experience of traveling through space and time — a dimension normally reserved for literary or musical expression. Guo Xi and the Song Dynasty painters developed the Three Distances Method, a technique of multiple simultaneous perspectives — from below looking upward, from a high point looking toward distance, from the front looking toward the back — embedded in a single composition. This "floating perspective" breaks the limitation of single-point Western perspective and renders the landscape as unbounded: Early Spring by Guo Xi consists of various perspectives from different standpoints operating simultaneously, such that the whole image does not resolve into a single coherent space. Negative space — unpainted areas carrying the Taoist concept of wu, nothingness — makes the unseen as active as the seen.

This is not merely a different technique. It is a different ontology of the image. Where Western single-point perspective asks: "from where are you looking?", shanshui asks: "through what are you moving?"

III. The unfinished as strategy, not failure

Across the curriculum, one of the most counterintuitive arguments has been that incompleteness can be an aesthetic achievement. This needs careful handling, because it is easy to confuse two very different things: the unfinished as a symptom of perfectionism (the work left undone because nothing could be good enough), and the unfinished as a deliberate artistic strategy that makes the viewer's participation necessary.

The distinction turns on where meaning is located. Plato located meaning in the Form — the eternal original of which art is a degraded copy. Feminist aesthetics challenged this by asserting that aesthetic value is culturally contingent and politically implicated, not inhering in abstract, eternal structures. Phenomenology pushes further: consciousness exists only as experienced, and the artwork's meaning is not fully separable from the encounter between the work and the attending subject.

This has real consequences for the unfinished. If meaning is not wholly contained in the object, then a work that deliberately leaves space — gaps, silences, the unpainted area in shanshui — may not be incomplete at all. It may be a structure that requires completion by the viewer, and that achieves its full existence only in that encounter. The co-emergent model of artistic creation extends this further: materials have affordances that shape creative decisions, and contingency and accident become features rather than flaws when the work is understood as arising from the dynamic interaction of artist, material, and constraint rather than from pure intention imposed on passive matter.

Borges's "Tlön, Uqbar, Orbis Tertius" dramatizes what happens when a fictional world constructed with perfect internal consistency begins to contaminate actual reality. The idealist premise of Tlön — that objects are constituted by language and thought rather than existing independently — turns out to be more dangerous than any imperfection. The perfectly coherent fictional system is not a refuge from the imperfect world; it becomes a mechanism for overwriting it. Borges is making a point about what happens when the drive for total coherence is taken to its limit: the ideal world displaces the real one.

This connects to the perfectionist trap. Self-discrepancy theory frames perfectionism as a gap between the ideal self (internalized high standards) and the actual self (real performance). The larger the gap, the more intense the emotional response — shame, rumination, creative avoidance. The perfectionistic artist who cannot release the work is not failing to achieve an ideal; they are being consumed by the gap between ideal and actual. The strategy is not to close the gap but to change the relationship to it.

IV. Perfection, freedom, and bad faith

The curriculum's philosophical arc leads somewhere unexpected: to the question of whether the pursuit of perfection is itself a form of self-deception.

Sartre's existentialism rests on the claim that existence precedes essence — consciousness has no predetermined nature that determines what it can be; it is radically free and responsible for constituting its own meaning through choices and actions. Freedom is not a condition we can choose to step out of; it is what we are. Bad faith — Sartre's term for the self-deception by which we pretend we are less free than we are — involves denying freedom and responsibility while relying on that freedom to perform the denial. It is not a logical contradiction but a way of inhabiting time that keeps different temporal dimensions disconnected.

The perfectionist who cannot release a work may be in a form of bad faith: telling themselves that the work is simply not good enough, when the deeper truth is that releasing it means accepting responsibility for it — accepting that it is, as Sartre would say, their project, their choice, their meaning. The impossible ideal functions as a screen that keeps this responsibility at bay. As long as the work is not finished, it cannot yet be judged; as long as it cannot be judged, the creator is protected from the existential exposure that completion entails.

Camus's absurdism offers a different but complementary framing. Meaning is not inherent to the world but must be fabricated by human consciousness in a cosmos fundamentally indifferent to human values. Camus asks us to imagine Sisyphus happy — not because the rock reaches the summit, but because the struggle itself is the meaning. Applied to creative practice: the work toward the impossible ideal is not a mistake. It is the condition of artistic existence. The ideal cannot be reached; that is precisely why the reaching never ends, and why art remains inexhaustible as a human practice.

Yalom's four ultimate concerns — death, freedom, isolation, and meaninglessness — are the inescapable parameters every creator works within. The absence of preordained meaning does not condemn the artist to nihilism; it liberates them to construct personally meaningful responses. Frankl's existential vacuum — the pervasive sense of emptiness that arises when meaning collapses — is not the natural state of the creative person but the pathological consequence of taking meaninglessness as the last word, rather than as the starting point for construction.

The impossible ideal does not make art futile. It makes art necessary.

Compare & Contrast

Three registers of infinity: what they share and where they diverge

The unfinished as failure vs. the unfinished as strategy

These two things can look identical from the outside. The difference is internal and relational.

The unfinished as failure arises from the discrepancy between ideal and actual: the work is abandoned or withheld because no version of it closes the gap between what the creator imagined and what they made. The ideal functions as a fixed standard against which every iteration falls short.

The unfinished as strategy arises from a different ontology of the artwork: the work is complete when it provides the conditions for an encounter in which the viewer's participation generates meaning the object alone could not contain. The negative space in shanshui, the gaps in Borges's encyclopedia entries, the perpetual-motion textures of Ligeti that resist closure — these are not works that stopped short. They are works that know where to stop.

The key diagnostic question is not "did the artist intend it?" but "does the incompleteness activate something, or merely indicate something missing?" Punk and DIY aesthetics are instructive here: rawness and imperfection emerge from both deliberate artistic decisions and practical constraints, and the tradition preserves this ambiguity rather than resolving it. The aesthetic works precisely because it can simultaneously express political positions and accommodate resource limits.

Thought Experiment

The project you will never finish

Consider a creative or intellectual project you have either abandoned or cannot bring yourself to complete. It might be a piece of writing, a design, a body of work, a skill you never pursued far enough.

Now hold two questions at once.

First: Is the incompleteness a symptom or a strategy? Is the work unfinished because you have not yet figured out where it ends — or because you have, and releasing it would mean accepting responsibility for it as a public claim about your values, your judgment, your vision?

Second: What would it mean to take Camus's position here? Not to pretend the work is good enough when it isn't, and not to abandon the standard — but to continue working in full awareness that the ideal is definitionally unreachable, and to find in that continuing work, rather than in its completion, the meaning the project holds.

The impossibility is not the enemy of the work. It may be the condition that makes the work worth doing.

Now consider the other direction. What would you lose if you did finish — if you declared it complete, released it, moved on? What does the continuing process protect you from? Sartre's bad faith applies here too: the freedom to complete the work, and the responsibility that follows from exercising that freedom, is available to you right now.

There is no correct answer. The experiment is designed to surface what you actually believe about perfectionism, infinity, and why you make things.