The Unseeing Gaze II: Can an LLM make a judgement of Beauty?
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Between the Critique of Pure Reason and the Critique of Judgement Kant produces at least two senses of the term judgement, on the one hand a system of reason that through a kind of grammar, produces the world in relation the self-conciousness or in Kant's terms the unity of apperception and on the other we have judgement from the first half of COJ, referring to Aesthetic Judgement.
Beauty as a popular idea has it, is based on symmetry, proportionality etc. However Kant's question to this judgement would be, what kind of systems of values are the values 'symmetry' and 'proportionality considered beautiful. Is it a system where the utilitarian is judged in majoritarian terms, that is the larger part of mankind agrees on it, rather than being judged by something inherent in the value itself, a virtue.
In any case of late a sufficient amount of ink has been spilt on arguing that forms of the modern internet, through mega corporations have prdoduced a kind of centralization of the use of the internet tending towards the developement of technologies that require large scale infrastructures which tend in aesthetic preference to be inherently majoritarian which points to the universalization of values of beauty etc. However this is not Kant implies by beaty at all. In a certain sense Kant can be seen to have a very particular view of beauty, as imperfection and surprise, which falls outside the conventional wisdom sense of aesthetics as a generally agreed upon sense of beauty as encoded in particular values. As I note later in this essay, beauty as a majoritarian agreement on what values constitute the beautiful is clearly available to any LLM to make judgements on. It falls thus on those using these technologies to decpipher whether they can be of use, or if there is any other reason for their developement, given that they use so much resource, and whether perhaps less centralized, human-replicating AI technology might not be a useful path for this technological line to trace.
As was made apparent to me during my employment as a trainer for a particular LLM, such technologies are immersed not just in the actual interfaces that we colloquially called LLMs but everything from the chess engine we use, to service bound interfaces like Uber, Swiggy etc. A large part of our modern economies are being determined by technologies that are expected to make large scale operations possible and in some cases to make crucial ethical decisions. It thus becomes important to query the sense of judgement involved with such machines to categorize this on the basis of what we know about judgement. Here I am asking the question can an LLM make an aesthetic judgement, assuming that the question of beauty also harbours the question of ugliness, that is we are making an aesthetic evaluation of the world along with our immediate intuitional grasp of space and time.
Aesthetic Judgement refers to judgements of taste and is logically already a higher category than that of judgement associated with reason. Aesthetic Judgement does not concern the senses, the beautiful is not a sensorial pelasure. While Judgement associated purely with the intergrative capacity of the understanding allow us to form particular perceptions from a manifold of sensible intuitons, Aesthetic judgement is concerned with the harmonius play between the understanding and the power of combination or the imagintion. Aethetic Judgements concern the specific situations where a pre-given universal category is not available for a particular situation (the realm of determinative judgement). In this case another form of the faculty of judgement is made operative: Reflective Judgement, which informs us that the form we have encountered is beautiful- a cognitive feeling of beauty. In a sense here in his deduction of the beautiful Kant opens up a completely different sphere of affect: cognitive affects.
In substance the moment is beautiful because it produces a spontaneous reflection on the form of form, on the form of that reflects on the grammar of sentences, which for Kant are the minimal units of cognitive sense. That is we make sense of sentences before the individual words are illuminated as a consequence of this.
Amanda Askell’s dissertation, Pareto Principles in Infinite Ethics, develops an argument around utilitarian principles, eventually showing that ideas like: if all the agents of one world are permutatively compared to agents in an identical world, then a quantiative goodness in one agent being greater in the first world from the second implies that the first world is more good than the second. This all changes when we consider for a variety of reasons infinte populations and infinite consequences, the latter being the substantial basis of the ontologically defined antinonies that end the COPuR. Askell begins with a deceptively simple intuition—Pareto improvement—and shows that, when extended into infinite populations, it generates deep structural instability in ethical comparison. The core of her argument can be reconstructed as a sequence of formal commitments about how to represent worlds, how to compare them, and how these comparisons behave under transformation.
At the foundational level, Askell represents a world w as an agglomeration of utlities across a population of agents. In infinite ethics, this becomes a sequence traced from agents to real-world utility values. FOrmally we can write a world as:
w = (u1, u2, u3...)
where each ui represents the welfare of an agent i. In Askell's examples, or at least many of them these worlds are countably infinite. This allows comparisns between wolds at infinite points of comparisn.
As opposed to utilitarian principles, the world is not arranged in an aggregative, or scalar way associating the world with some number that marks total utility. INstead the world is arranged into a set of vectors in infinite dimensional space. (This bares close resemblance to the problem solving spaces of LLMs which also generate a great degree of complexity by aggregating details at higher and higher dimensions which is preciely why it requires so much machinic-cogniitve capacity which makes community based and sustainable AI that perform such tasks unthinkable at least for now- which raises many questionsin itself about the ethics of such large models, however more on this in the next post).
Ethical comparisn thus in Askell is produced by treating all such worlds as something close to a vector space W ⊂ R^N, where ethical comparisn is distributed over these vectors rather than reduced to a single number.
THis form of comparisn also requires a new operator, which is neither better or worse, but 'as good as' : ≥. Askell constructs four central theorems using this operator:
1. Agent Sensitivity (Pareto)- If there are are two worlds that contain the same agents and if every agent is as well off in the first world (w1) as in the second world (w2) and at least one is strictly better off in w1 then w1>w2.
2. Transitity- If w1>w2, and w2>w3, then w1>w3
3. Permutation: If we permute the positions of agents in the series then the result remains the same
4. QUalitativeness: If two worlds are to be structurally identical the relative positional value of agents in the series must remain the same
Taken together, these axioms define a comparison structure that is invariant under permutation, sensitive to local improvements, and globally coherent.
However what Askell eventually demonstrates is that these four axioms are not sufficient to jointly provide complete ordering for infinte worlds. This may be demonstrated as follows. Consider two worlds such that:
{i| u1 > u2} is infinite
and {i| u2 > u1} is infinite
That is infinitely many agents are better off in w1 and infinitely many are better off in w2. In finite settings aggregation can produce an adequate result. However in infinite situations this is not possible.
Askell strengthens this intuition through permutation constructions. By rearranging the utilities of w1 and w 2 she generates new worlds w1' and w2'.
- by Pareto
- by Pareto
- but transitivity would force contradictory rankings
This produces what she calls cyclic or four-world structures, where:
From which transitivity would imply an impossibility.
The deeper mathematical structure here resembles paradoxes as is often the basis for paradoxes . Paradox is pcisely the zone of minimal conditions of subjectivity, or ordering and yet not without some minial ordering.This produces her core result: incomparability.
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I would like to now present a possible variation to this view through a kind of case study through a thought experiment posed by the philosopher Daniel Goldstick (1991) in his article 'Distributive justice and utiliy'.
Goldstick asks us to consider the following argument posed by the economist William J Baumol:
'If Ellen likes marmalade and Daniel likes jam, how do we know what happens to social utility when we produce more jam and less marmalade?'
A further stipulation to this situation is Hellen would prefer the marmalade far greater than Daniel would prefer the jam.
THere is in the question an inherent tension between need and desire, and whether a system should reward hedonism or desire, as well on the other hand how a system is to balance its overall good, in a utilitarian sense in relation to need.
In Goldsticks example we have a world w such that:
w = {ue , ud} , that is the aggregative utilities of Ellen and Daniel. There are three principles to compare compossible worlds, based on Goldstick's analysis:
1. A comparisn of magnitude of utility can be made if the total utility in one is higher, which in this case implies giving Hellen what she wants, because according to a utlity principle, since Ellen's happiness would increase to a greater extent than Daniel's
2. A comparisn of magnitude can be made if the goods are equally split on the equalitarian principle.
3. A comparisn of magnitudes can be made if goods are split on the basis of 'equally dividing good and evil' or a distributive principle which provides daniel more.
The results in relation to each other however for two identical worlds, w1 and w2 are incomparable because the results of which world will be better off in the case of the application of either of these three pincrimples. In the end however Goldstick concludes with a positive result. He argues that in the end the only princple that can actually work through the situation of a kind of quasi natural social utlity is the principle of utlity itself which is the only principle that can guarantee the isolation of each actor in relation this general quasi-natural social utility, is effectively added to the final result. That is he suggests, that each individual must be equally commited to negating his utlity in service of general social altruism. THat is each individual to maximize overall utlity engage equally in non-utilitarian activity to produce a maximized utlity.
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Now I would like to make an attempt to compare Kantian structures of aesthetic judgement to these utlitarian and non-utilitarian considerations.
I would like to start with a simple reference to a Swedish movie from the 2000s called Together or in Swedish Tilsamanns. It proposed a simple thought expierment, a commune, out in the wilderness, peopled by students and workers, who live together, sharing all property and benifits, and minimizing personal utlity for the greater good. However in order to not be hedonistic the commune prefers monogamous unions, and the relations are sexually non-binary. The system of common property and monogamy of course square of and cause a kind of existential crisis in the commune.
This is a slightly extreme example but a simple one, that describes how in fact in any situation of political judgement, there are sub-systems of utlity, even non-utlity systems that produce general utility. The incompatiblity of these worlds produces fissures, which are exactly the points at which some kind of minimal subjectivity is prodced.
Let us extend the example. Say the commune decides to turn take on a monastic function and eschew all love relations in favour of a daily investment in some aesthetic pleasure, assuming following kant that art, which is the central subject of aesthetic exhbition, we might say in some kind of creative culinary experince, or in collective music or magical ritual, etc. Here we are implementing a utilitarian reading of Kant's Aesthetic principle, arguing that investment in Aesthetics might uplift a people above their self-denigration into ethical considerations that involve pleasure-pain principles as the basis for judgement. Instead judgements of beauty and moral character, we might read as rising above pety hedonistic utlity.
Let us assume a community of three individuals. They are all invested in such aesthetic upliftment and an immersion into producing judgements of taste, which as Kant suggests are higher than judgements of pleasure-pain. Let us assume a fairly diverse result:
A gains immense disinterested enjoyment from the aesthetic exhibition
B gains some mild personal enjoyment from it
C derives no enjoyment and is irritated
In the case of a collectively prepared meal all derive the same degree on enjoyment.
Kant's claim I believe is that clearly A produces the highest overall utlity, but the question is really how do we convince B and C to agree that this is the highest overall utlity. This agreement in Kant's sense would require an exhibition, a demonstration, or in more comprehensible terms, a judgement of the world that produces the conviction that disinterested pleasure is of the greatest value to general human happiness.
THat is it is not a question of a scalar aggregation of ulity as an overall number but rather of a qualitative shift produce through a singular act, that institutes a microsystem of a new normative framework. Kant's focus in the COJ is clearly on the value of agency, in the constitution of human subjectivity.
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Microsystems of political relation, consistently produce friction. Here subjectivity is not a kind of unificiation of the relation of the self-to-the-self, so that from one moment to the next it is the same self constituting itself, in a closed loop, but rather subjectivity is diffuse when seen through an aesthetic prism, it stretches out like a web through nature, it is liminal.
It is singularity in the sense of a historical moment, undeniably like Walter Benjamin's dialectical image, that surfaces ever so often in the Arcades Project, a moment of historical consciousness produced by a moment of political and physical danger.
That is utility is to be redefined if we follow Kant, to include an act that exceeds utlity, which defines a new normal for what utility is. Really the human world of perception is shaped, in the end for Kant, by the creative function of such acts.
Consider the case from around August of last year, where a 16 year old, killed himself, after what is described by the press as 'months of encouragement from chatgpt'.
In the end of course, it is necessary to veer towards Askell's result of incomparability, however in a very specific sense. In our world it is already clear that such technologies are producing acts that necessitate judgement, that exceeds utilitarian considerations, precisely because these acts exceed the usual bounds of normativity and produce new situations, particularites that mark singularities in the historical developement of LLMs.
From this point of view at least, LLMs are as conscious in the quasi-subjective web of matter and mind, as any of us, in that they have in a psychoanalytic 'case-file'. In a social sense it is clear that these programs have psychological morbidities which already presuppose the need to conceptualize them as at least having the liminal consciousness so characteristic of aesthetic judgement, preciesly because aesthetic judgement extends Kant's framework from the subjective to the inter-subjective, however not through a consideration of inter-subjectivity being some kind of ultimate utiliraian virtue in non-utility, but rather because it is only actualized in an act that extends the bounds of normativity. HOwever if we must conceptualize LLMs as sucwe must do so in the full Kantian sense, by drawing a historical image of what they are as our perception of the apperception of these machines. We must assume, not only that they are agents, and have personas but also that they have selves (Kockelman 2012), that is histories, of acting as agents in the human social framework.
The question, finally of whether they are subjects or not, I will consider in the next post.
References:
- Askell, Amanda. 2018. Pareto Principles in Infinite Ethics. PhD. New York University.
- Askell, Amanda. 2022. My mostly boring views about AI consciousness. Substack.
- Goldstick, Daniel. 1991. Distributive Justice and Utlity. THe Journal of Value theory.
- Kockleman, Paul. 2006. Agent, Person, Subejct, Semiotica 26 (2).
- Mattheu, Quiloz and Pierre Beckman. 2024. Why we care about understanding: Competence through predictive compression.
-Rose, Gillian. 1981. Hegel Contra Sociology. Verso.
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