The Logic Behind Archetypes

Case Study One: R v R (1991)

For centuries, English common law held that a husband could not be guilty of raping his wife, on the assumption that marriage constituted permanent, standing consent. So when R was charged with raping his wife, the defence wasn't "he didn't do it" — it was that what he did could not, by definition, be classified as rape. The act itself was not in dispute. Its classification was.

"The act was not in dispute. The classification of the act was."

The court had to return to first principles: what are the necessary and sufficient conditions of rape? Forced sexual intercourse without consent. Did marriage extinguish that consent condition and replace it with permanent, presumed consent?, or is consent a different matter?. The court determined it did not — consent and marriage are not the same, 'consent' is not a status conferred once, at the altar, but a condition that must be present at each instance, in other words, marriage and sexual consent are not mutually inclusive--like a profession 'a barber' and 'consenting to have your hair cut'. The classification therefore applied, and the verdict followed: guilty.

Case Study Two: Carlill v Carbolic Smoke Ball Co. (1893)

In 1893, an English court faced what looked, on the surface, like a simple dispute. A company had advertised that their product — the Carbolic Smoke Ball — would prevent influenza, and had publicly offered £100 to anyone who used it correctly and still caught the illness. Mrs Carlill did exactly that. The company refused to pay, arguing the advertisement was mere puffery, not a binding offer, and that no contract existed between them.

The court didn't simply recognise a contract, or fail to. It constructed a verdict. It first set out the necessary conditions of a binding unilateral offer — a clear and unambiguous promise, sufficiently definite terms, communicated to the offeree — then tested the advertisement against each in turn. The promise was unambiguous. The terms were specific. The reward was open to anyone who performed the stipulated act. Each condition was met, the particular case was subsumed under the general class (a binding offer), and the verdict followed as a matter of logical necessity: Mrs Carlill was entitled to her £100.

(Carlill v Carbolic Smoke Ball Co. [1893] 1 QB 256, Court of Appeal.)

Archetypology: Rhetoric Meets Judgement

The Dual Procedure of Generalization and Specification

If we look at what these two cases have in common, a clear pattern emerges. In each, there was an ambiguity about the nature of the case — an ambiguity born of complexity, and of a lacuna: a gap in the law where existing classifications simply failed to cover the situation. The legal system, in other words, was struggling on two fronts at once. It couldn't adequately generalize its existing laws, and it couldn't adequately specify those laws to fit this particular, complicated case.

No one is more familiar with this dual predicament than the pure mathematician. As Cassirer puts it, "when a mathematician makes his formula more general, this means not only that he is to retain all the more special cases, but also be able to deduce them from the universal formula" — citing Lambert's criticism of the logic of the Wolffian school. "The exclusive merit of mathematical "general concepts," Lambert argued, was not to cancel out the special cases but, in all strictness, to fully retain them" (Ernst Cassirer 'Substance & Function', chp1, p16)

What matters here is the duality of judgement. We're all familiar with induction and deduction as separate methods, but less familiar with the idea that the immediate, seemingly final act of judgement is actually the coincidence of the two. Put another way: every problem of generalization is a problem of specification. Judgement is as much an act of subsumption as it is of abstraction — we only judge once we've sufficiently classified the case in front of us. The key nuance is that both happen simultaneously.

The Bird and the Wing

This is a genuinely technical procedure. We're often looking for that one condition whose removal would cause an entire series of classifications to collapse. Take a classic difficult case, posed as an analogy: all birds have wings, but are all winged creatures birds?

The point of the question isn't obvious at first, but it's this: what defines a bird isn't, particularly, its wings. At the same time, the question reveals that "winged creature" is a more general zoological classification — one that can't be confined to birds, however much our habits of thought might suggest otherwise. Or think of it this way: we're working toward a final, unequivocal verdict about birds by interrogating a traditional assumption that tends to slip in unquestioned — an assumption that could mislead even the sharpest biologist at the cutting edge of the field; what defines a bird, or, what's the 'trait' —something like a 'formula' or a 'principle'— that all birds, regardless of class, share, a 'trait' or principle that 'permeats' every case of 'bird', (a beak + wings + feathers isn't a law by the way, a law is more like: 'if you apply mechanical pressure to a metal, it'll deform plastically, this is a law, what changes from one metal to another is 'degree').

Doxa, and the Error of Mistaking a Condition for a Conclusion

That traditional, unquestioned assumption is always some kind of penultimate supposition — precisely what Plato calls doxa (opinion), or, more precisely still, what Aristotle calls an "assertoric proposition." I say more precisely because Aristotle's logic correctly separates the validity of an idea from its necessity. That an idea is valid is only a condition — a contingency. Its necessity, the stage at which we actually grant acceptance or agreement, is deferred to later.

This distinction matters because it locates the nucleus from which every error of judgement radiates: the tendency to mistake a condition for a conclusion, or to conclude at a condition. (We'll meet this same error again later, in the story of Moses and the golden calf.)

Back to the Birds: Why We Need a Formula

This is exactly the error in our bird example. Defining a bird by its wings fails to recognise that "winged creature" is a separate, more general classification. In doing so, we capture only the general function that "wings" are known for, without the modification of that function which makes a bird's flight different from any other winged creature's flight. The result: we can't account for every case that might arise in ornithology- not at least with so basic a conception as 'birds are winged creatures' which, if I may be blunt, colors the scientist's thinking at some level.

The solution is to look for that one condition whose removal destroys the object. But — and this is the crucial point — we can't settle for a single condition in isolation. What we need is something closer to a formula: a solution we can apply to any case, however general or however specific. This is precisely what the judges did, almost automatically, in both of our legal cases — identifying the necessary and sufficient conditions of rape in R v R, and of a binding unilateral offer in Carlill.

The Conditio Sine Qua Non

All of this points to a stage that precedes judgement itself: classifying the conditions that make an object necessary — identifying what cannot be removed without the object collapsing entirely. The object is treated as a kind of theorem, and we classify the aspects whose complete definition simultaneously defines the object. This is the conditio sine qua non — the condition without which, the invariable subject underlying everything else about the object.

This isn't something we reach for out of habit or association. The "habit," if anything, is just the practice of this faculty — a way of projecting it onto any phenomenon we want to understand. The kernel of the method looks something like this: what defines "metal" is elastic deformation. Copper, gold, iron, and zinc all share this property to varying degrees — but elastic deformability isn't confined to metals. We can find it in non-metallic objects too.

Is Blood a Kind of Metal?

Here's where it gets interesting. Could an object like blood — something we'd never ordinarily call "metallic" — actually harness the properties of metal? Blood clearly has a threshold: an elasticity by which it absorbs and resists pathological disturbances, up to a limit. And it has a mechanism — homeostasis — that lets it snap back to equilibrium once that limit is approached.

So we can ask: from the metallic conditions blood clearly does meet — strength, resistance, ductility — could we derive other metallic properties too? Not as literal particles or molecules, but as profiles: modes of operation or behaviour within blood's immunological framework that correspond, point for point, with the properties of actual metals — iron, gold, copper. If we could do this, we would have solved the very problem of judgement we started with in the legal cases.

"Biology employs the term homology of organs to signify morphological equivalence in contradistinction to the term analogy which relates to functional equivalence. This important, and in the sequel most fruitful, notion was conceived by Goethe (who was led thereby to the discovery of the “os intermaxillare” in man). (Oswald Spenglar 'Decline Of The West', chp3)

"It is known that for every part of the bone-structure of the human head an exactly corresponding part is found in all vertebrated animals right down to the fish, and that the pectoral fins of fish and the feet, wings and hands of terrestrial vertebrates are homologous organs, even though they have lost every trace of similarity. The lungs of terrestrial, and the swim-bladders of aquatic animals are homologous, while lungs and gills on the other hand are analogous — that is, similar in point of use."

Take ductility. We could call blood "Gold" by treating its viscoelastic properties as equivalent to gold's high ductility. Think of "metal" as a single underlying substance that becomes gold when ductility is emphasised — and when that happens, its other properties adjust accordingly. High ductility, for instance, tends to come at the cost of reduced strength; that's the trade-off. If blood's own viscoelastic properties follow the same trade-offs — the same underlying optimisation — as gold's, then the question is answered. We wouldn't just have found an analogy between blood and metal. We'd have found that blood runs on a process homologous with metal's — not just similar, but structurally the same.

What began as two seemingly unrelated legal disputes turns out to describe a single, recurring shape: judgement as the simultaneous act of generalising and specifying — the search for that one invariable condition without which the object, whether a verdict, a bird, a metal, or blood itself, would cease to be what it is.

In Part 2, we'll see why this matters for reading the Quran's prophetic stories, and what it actually means to call something an archetype.