Williamsonian Pressures and Inclusion: A Note on Metaphysics, Logic and Epistemology in Philosophy of Education (11)

Tim Williamson introduces a very different kind of pressure into the whole discussion, and it is deep pressure. Up to this point, even when we complicated the picture with Vetter’s ordinary modality and Fine’s reply to her, we were still largely working within a Finean atmosphere. We were assuming that distinctions of essence, source, grounding, relevance, and modal force can reveal real structure in educational life, and that with enough care we can tell what belongs to the nature of a thing, what is merely circumstantial, and what forms of necessity are in play. Williamson does not simply deny that all of this is intelligible. One of his first moves is to point out that Fine can be read in a much more modest way than all that. On that modest reading, the point was not decisively to prove that essence is hyperintensional in reality, but only to show that a hyperintensional way of talking is intelligible, that it represents a genuine conceptual option and not mere confusion. And Williamson grants that point. The issue, he says, is not intelligibility but truth. 

He stops us from treating Fine’s framework as automatically vindicated merely because it feels natural or because it allows us to articulate distinctions that practice already seems to need. Williamson’s deeper question is whether the data on which Fine’s stronger metaphysical claims rely are trustworthy. His suspicion is that they are not. They may be the output of a useful but fallible cognitive shortcut, a heuristic, and if so then a whole hyperintensional metaphysics may have been built on what are, at bottom, elegant mistakes.

Williamson begins by revisiting the famous Socrates example which says that  it is essential to Socrates that he is Socrates, but not essential to him that he belongs to singleton Socrates. The received lesson from this had been that essence is more fine-grained than necessity, because the two propositions are necessarily equivalent but apparently differ in essential status. Williamson does not attack this example head-on at first. Instead, he looks for parallel cases where our intuitions have the same shape but can be shown, quite independently, to be wrong.

On an iterative conception of number, it feels natural to say that it is essential to 8 that it is the successor of 7, but not essential to 8 that it is the predecessor of 9. The difference feels just like the difference between Socrates and singleton Socrates. Seven seems internal to eight in the right way, nine seems extraneous. Yet Williamson argues that this is a mistake, and not a merely contentious philosophical mistake but a provable one. The terms “7 + 1,” “9 – 1,” “s(7),” and “p(9)” are semantically complex, but they are directly referential. They all refer to 8. So if our semantics is straightforward, substituting them for one another should preserve truth-value. Once that is seen, the judgement that one such sentence is true and another false can no longer be trusted. Williamson is not merely saying, “I disagree with Fine’s intuitions.” He is saying that very similar intuitions in a structurally parallel case are demonstrably unsound. That means the style of judgement itself is suspect. The error, he suggests, is produced by what he calls a crude relevance filter. We see certain bits of material in a sentence, “9” in the number case, “singleton Socrates”  in the essence case, and we treat them as irrelevant to answering the question “What is this thing?” Because they seem irrelevant, we are inclined to reject the whole essentialist claim. The mind is operating with a fast and often useful heuristic, screening for what appears extraneous. 

Usually that is helpful. But sometimes it misfires, because the apparently extraneous material is neutralised by the larger structure of the expression.That diagnosis is what makes Williamson’s paper so unsettling. He is not merely objecting to hyperintensional metaphysics from the outside. He is offering an internal debunking explanation for why Fine’s examples seemed so compelling in the first place. They feel right because they engage a genuine cognitive mechanism for detecting relevance in explanatory and essentialising contexts. But that mechanism operates at the linguistic surface. It is not a reliable detector of deep metaphysical structure. And if that is true, then much of the evidence for hyperintensional metaphysics may amount to overfitting, building increasingly elaborate theory to accommodate a few striking but error-infected judgements.

So what follows if we take on Williamson's critique? It does not follow that all the distinctions we have been drawing collapse. But it does follow that we can no longer rely naively on the force of our own educational intuitions about what is internal or external, essential or irrelevant, constitutive or accidental. We need to ask, very carefully, whether some of our most natural educational judgements might be driven by a relevance heuristic rather than by genuine metaphysical insight.Take again the ordinary teacher judgement we used in an earlier note: “This pupil cannot yet show her understanding in timed written essays.” A Finean analysis allowed us to separate understanding from the generated display-form of timed essay writing, and that remains extremely fruitful. But Williamson now asks us to be more suspicious about how we decide what is “really” relevant to the pupil’s understanding. We may feel strongly that handwriting speed, sensory load, timed conditions, orthographic fluency, or the formal essay genre are external to understanding as such. And often that judgement may be right. But Williamson’s pressure is that the feeling of externality, the sense that these factors are merely clutter, may itself be the product of a crude relevance filter. We see them as not belonging to the answer to “What is understanding?” and so we classify them as inessential. 

Yet it may turn out that for certain educational practices those allegedly extraneous features are not merely presentational noise. They may partly constitute the form of understanding being assessed, or at least belong to the specific generated educational activity in a more robust way than our first-pass judgements acknowledge. Certain teachers might defend essay writing in this way. They might argue that the essay form actually does partly constitute the form of understanding being assessed, for example. That does not mean we must abandon the SEND-friendly distinction between educational good and display-form. But it means we must support it with more than immediate intuition. We cannot simply say, “Timed essay writing is obviously irrelevant to understanding.” That is exactly the kind of move Williamson is warning against. We need stronger grounds. We need argument, comparison across cases, attention to how the educational practice is constituted, perhaps empirical study, perhaps historical analysis of how the form arose. The relevance filter may be useful in helping us first suspect that the assessment form overreaches, but it is not by itself enough to establish the metaphysical point.

This makes our earlier Finean distinctions more methodologically serious. It forces us to ask not just whether a distinction is articulate and attractive, but whether the judgement supporting it is safe. For example, when we say that a class’s inability to sustain open discussion is merely circumstantial and not essential to the class, what exactly supports that “merely”? Is it grounded in a careful account of the generated educational form and its conditions, or is it the result of our simply filtering out whatever seems irrelevant to the educational ideal of open discussion. Similarly, when we argue that decolonisation and demasculinisation might become incompossible because one introduces relations of authority that the other treats as alien, are we tracing real structural tension, or are we merely reacting to the surface appearance of certain elements as relevant or irrelevant in answering “What is a decolonised curriculum?” or “What is a demasculinised pedagogy?”

Williamson is especially important here because he also targets explanatory vocabulary. He notes that these relevance filters operate powerfully in contexts shaped by “because,” “essential to,” and similar locutions. Educational theory is full of such language. “This pupil struggles because of working memory limitations.” “This school succeeds because of strong culture.” “This curriculum is decolonised because it foregrounds non-Western voices.” “This practice is exclusionary because it privileges rapid verbal response.” In each case, the educational mind is tempted to decide what matters by scanning for what seems explanatory and rejecting what looks like clutter. Williamson’s point is that such scanning is indispensable but dangerous. It can generate the illusion that our explanatory ordering tracks deep structure when in fact it may only reflect a shallow and often linguistically triggered sense of salience. 

That means our earlier use of grounding, essence, and generated entities must be revised in a more disciplined direction. The machinery remains powerful, but it is no longer self-certifying. We need to be particularly careful when the distinctions line up too neatly with our sense of what is educationally pure or relevant. When we say that support for a disabled learner belongs to the grounds of access rather than to the achievement’s negation, that may still be exactly right. But Williamson warns us not to rely only on the sheer felt obviousness of the claim. We should ask whether our sense that support is “external” or “non-distorting” is itself a heuristic response, and whether the educational ontology of the case has been properly worked through. He also affects how we think about generated entities and educational kinds. Earlier, using Rosen and Fine, we distinguished categories that seemed well formed from those that looked ontologically inflated. “A genuinely open class discussion” looked like a legitimate educational kind. 

Others look much more suspect. Williamson now presses on the evidential basis for such judgements. It may still be true that some educational categories are better formed than others, but our confidence that certain elements are irrelevant to their identity may be shakier than we thought. We may need a broader methodological base than teacherly phenomenology or conceptual neatness. Williamson explicitly recommends something like a mixed methodology, not relying only on cases and intuitions, but combining hypothetical examples, formal modelling, and empirical or scientific input where possible. In education, that has strong implications. It suggests that a robust metaphysics of educational practice should draw not only on conceptual analysis but on developmental psychology, sociology of institutions, disability studies, history of schooling, curriculum theory, and close observation of practice. This is particularly illuminating in relation to anti racism, class, decolonisation, and demasculinisation. Our earlier discussion made these look like educational goods with potentially overlapping or incompossible essences. Williamson does not make that impossible, but he does make it riskier. One can no longer move from “this element feels extraneous to the nature of anti racist education” or “that element feels alien to decolonisation” to a metaphysical conclusion without greater care. 

The relevance filter may be doing a lot of work here. For example, one may treat class as extraneous to anti racism because the term “class” feels like clutter in answering “What is anti racist education?” Or one may treat race as extraneous to class-based educational analysis because the term “race” feels like an explanatory distraction in answering “What is class critique?” Williamson’s warning is that such feelings of extraneousness can be cognitively efficient and politically powerful while still metaphysically unsafe.

That does not leave us paralysed. It changes the kind of work we must do. Instead of relying on the force of selected educational examples, we need to ask whether the forms of explanation, practice, and organisation involved really support the distinctions. Are the relevant educational propositions genuinely different in structure, or merely different in presentation. Are the allegedly rival projects incompatible in what they generate, or do they only appear so because the terms in which we describe them trigger different heuristics of relevance. Williamson does not settle those questions. But he makes it much harder to answer them lazily.

At the same time, and this is important, Williamson does not destroy the value of the Finean project. He attacks a certain style of evidence, especially the over-reliance on intuitively compelling counterexamples. But the broader Finean insight, that educational thought may need distinctions finer than raw extensional success or rough policy categories, can survive. It simply has to be pursued more cautiously. In fact, one might say that Williamson helps save the genuinely fruitful parts of the project by purging them of a too-easy reliance on what merely feels explanatorily central. He forces the Finean educational theorist to become more scientific in method, more suspicious of elegant examples, and more willing to triangulate conceptual claims with other forms of evidence.

If this is right then the redeveloped picture now looks something like this. Fine’s metaphysics gives us a rich apparatus for distinguishing generated educational forms, essential features, grounding conditions, and layers of modality. Vetter and Fine’s exchange on ordinary modality reminds us that many educational necessities are context-sensitive and linked to special modalities in different ways. Williamson then introduces a methodological brake. He tells us that our immediate judgements about what is irrelevant, extraneous, or inessential may be heuristic outputs rather than metaphysical insight. Therefore, educational metaphysics must not only be rich, it must be epistemically disciplined. That is not a loss. It is a further fruit. It means that the philosophical work we have been doing on SEND, disability, curriculum, authority, discussion, decolonisation, and demasculinisation becomes less vulnerable to the charge of simply redescribing our educational preferences in metaphysical language. It pushes us toward a model in which metaphysical distinctions are tested, supported, and refined rather than merely intuited. That makes the whole approach more robust, not less valuable.

And perhaps the most important effect of all is this. Williamson reminds us that the real danger in philosophy is not only confusion but overfitting, multiplying distinctions to save our favourite cases. Educational theory does this constantly. It produces more and more categories, labels, exceptions, and frameworks to match selected observations. A Williamsonian pressure within a Finean framework can therefore be extremely healthy for the field. It can ask, of each proposed distinction, whether it is tracking real educational structure or merely protecting a powerful but untrustworthy intuition. That is the kind of pressure under which a more mature educational metaphysics might finally emerge.

A very good test case for seeing the value of Williamson’s pressure is the educational term “inclusion,” because few terms in education are at once so morally charged, so rhetorically powerful, so policy-saturated, and so badly in need of metaphysical discipline. It is exactly the sort of term that invites Finean analysis and exactly the sort of term that Williamson warns us not to trust too quickly.

At first sight, inclusion looks like an ideal candidate for the Finean machinery. It seems to name something real and important in educational life. We distinguish inclusive classrooms from merely orderly ones, inclusive curricula from merely standardised ones, inclusive assessment from merely uniform assessment, inclusive schools from merely administratively compliant ones. It also seems to have a strong essential pull. We are tempted to ask what inclusion really is, what belongs to its essence, what grounds it, what forms it generates, and whether other educational goods are compossible with it. The Finean apparatus appears immediately fruitful.And in one sense it is. Finean distinctions quickly reveal that inclusion is not simply a sentiment, nor merely a legal compliance category, nor merely the physical co-presence of diverse learners in one room. A pupil can be physically present and still not included. A school can meet policy criteria and still not be inclusive. A curriculum can name diversity and still fail to include. So the term does seem to pick out something finer-grained than surface arrangement. One naturally starts asking whether inclusion is a generated educational entity, perhaps a structured pattern of participation, recognition, accessibility, and normative membership. One asks whether it is conservative over lower-level relations such as intelligibility, access, mutual recognition, and genuine participation. One asks whether there are weak definitional truths such as: if a learner is systematically prevented from accessing the educational good in forms appropriate to their profile, then inclusion is absent. All of that looks promising.

But this is exactly the point at which Williamson becomes useful, because inclusion is also a term around which a powerful relevance heuristic operates. We see certain features and immediately classify them as central or peripheral to “what inclusion really is.” We say, almost automatically, that exclusion from the room is obviously relevant, while academic underchallenge is secondary; or that emotional belonging is central, while differential attainment is merely downstream; or that placement in mainstream is not enough, because “real inclusion” means participation; or that specialist provision cannot really be inclusive, because the pupil is separate; or the reverse, that mainstream placement cannot really be inclusive, because the pupil is always at the margin. In each case, our minds are very quickly sorting the clutter from the essence. Williamson’s question is whether that sorting is reliable.It may not be. Inclusion may be just the sort of term around which a community has accumulated a powerful set of surface cues, moral associations, and explanatory habits that generate the feeling of deep structure without actually securing it. To put it bluntly, “inclusion” may be a candidate emperor without clothes. Not because nothing matters here, but because the single grand term may be doing less ontological work than we think.

One way to see this is to ask the Rosen-Fine question more severely than inclusion discourse usually permits. What kind of thing is inclusion supposed to be? Is it a property of institutions? Of classrooms? Of interactions? Of curricula? Of learner experience? Of participation structures? Of distributive arrangements? Of recognition? Of access to educational goods? The problem is that the term is used for all of these at once, and often as if they naturally converged. But once one slows down, that convergence becomes doubtful.Suppose a school says, “We are fully inclusive.” What might that mean. It could mean that pupils with SEND are educated on site rather than segregated elsewhere. It could mean that the curriculum represents diverse lives and histories. It could mean that pupils report a strong sense of belonging. It could mean that disciplinary systems do not disproportionately punish racialised pupils. It could mean that disabled learners can access tasks with appropriate supports. It could mean that queer pupils are recognised and safe. It could mean that working-class pupils are not culturally marginalised. It could mean that all students can participate in discussion. It could mean that there are no exclusions. It could mean almost anything positive in the direction of non-marginalisation.

Now a Finean instinct might try to save the term by saying that these are all manifestations of one deeper property. But Williamson presses: what exactly licenses that move? Are we dealing with one genuine educational kind with a coherent essence, or a rhetorically convenient bundle of heterogeneous goods that travel together only contingently or only in idealised policy discourse. The fact that all the listed items feel “relevant to inclusion” may reveal only the operation of a broad moral relevance filter. We hear “inclusion” and gather under it everything that seems anti-exclusionary, dignity-respecting, participatory, accessible, and just. But that does not yet prove that there is one educational property there.

A good test is to look for generated entities. Can “an inclusive classroom” be treated as a generated educational form in the way we treated “a genuinely open discussion” or “a decolonised curriculum.” Perhaps sometimes. But what would generate it? If the answer is “belonging, access, participation, recognition, non-stigmatisation, differentiated support, equitable authority, and intelligible membership,” then we must ask whether these stand in the sort of relation that really generates one form, or whether they are only a morally appealing list. Williamson’s pressure matters because in many cases the list is doing the work. We see a cluster of good things and assume there must be one underlying educational reality, inclusion, of which they are all parts. That assumption may be a textbook case of overfitting.

Indeed, the term may conceal rather than illuminate important fractures. A classroom may be inclusive in the sense of social belonging but not in the sense of curricular access. A school may be inclusive in placement but not in participation. A setting may be inclusive for one learner because it is specialised and structured, and non-inclusive for another because it is separate and stigmatised. A mainstream classroom may include a disabled learner in one ordinary sense and exclude them in another. These are not just practical complications. They suggest that “inclusion” may lack the unity its rhetoric presumes. Williamson does not merely tell us to be sceptical. He gives us a model of what kind of scepticism is appropriate. The problem is not that inclusion varies across contexts. Many genuine concepts do. The problem is that our confidence in the concept’s unity may be generated by a relevance heuristic. We ask, “What matters for whether someone is included?” and the mind scans for whatever looks like it belongs in a humane answer. The resulting set is broad and morally compelling. But from that it does not follow that there is one property of inclusion finer than all these cases. The term may instead function as a loose convenience label for a family of quite different educational goods and failures.

The same point can be made through ordinary modal claims. Teachers and leaders say things like, “This child can be included here,” “That provision is not inclusive,” “Full inclusion is not possible in this classroom,” “Inclusion requires flexibility,” “Inclusion means everyone accessing the same lesson.” These sound as though they are all about one thing. But perhaps they are not. Perhaps each uses “inclusion” to express a different underlying proposition, one about placement, another about access to goods, another about participation, another about social recognition, another about symbolic equality, another about non-separation. If that is so, then debates about inclusion often look like debates over one educational essence when in fact they are competitions among different concepts sharing one moralised label.

This matters a great deal in SEND and disability educational thinking, for example, because “inclusion” often blocks rather than enables thought. One side says a pupil must be included in mainstream. Another says genuine inclusion may require specialist environments. One side says separate provision is always exclusion. Another says mainstream co-presence without intelligible participation is pseudo-inclusion. These debates often become moral stand-offs because the term “inclusion” has already been essentialised. Williamsonian pressure invites us to say that perhaps the term is doing too much. Perhaps the real work should be redistributed into more disciplined categories, access to the educational good, participation structure, social membership, recognition, non-stigmatisation, curriculum intelligibility, support dependence, authority distribution, and so on. Those may have better claims to ontological seriousness than “inclusion” itself.

That does not mean the term should simply be abandoned. It may still have political and ethical value as an orienting ideal. But this is precisely where Williamson helps us separate intelligibility, usefulness, and truth. Inclusion may be highly intelligible and highly useful while still failing to name a single robust educational kind. It may function, not unlike some of the concepts we discussed earlier, as a banner under which many worthwhile but only partially connected educational aims gather. The danger is that once essentialised, it begins to masquerade as if it named one deep educational reality whose content is already understood. That is when it becomes emperor-like.

A revealing comparison is with “health.” Health is real enough, but it covers a manifold of dimensions and often functions as a regulative ideal more than a single sharply unified state. One can debate whether inclusion is like that, a high-level family term with partial structural unity, or whether it is even looser, more like “wellbeing” in policy discourse, where the felt obviousness of the good masks deep heterogeneity. Williamson’s pressure stops us from answering too quickly. It tells us that the sheer naturalness of saying “real inclusion requires X” is not yet evidence that “real inclusion” names a single underlying essence.

I think the educational payoff of this scepticism is considerable. If inclusion is not one single robust educational kind, then a great many stale debates can be redescribed more honestly. Instead of asking whether a practice is inclusive full stop, we ask whether it secures access to the relevant educational good, whether it generates participation in the relevant activity, whether it distributes recognition appropriately, whether it prevents stigma, whether it enables forms of belonging that matter here, and whether these goods are compossible in this setting. That is a much richer and more exact map than the binary inclusive/non-inclusive one. It may also expose tragic or incompossible tensions more clearly. A setting may maximise social belonging while compromising specialist access. Another may secure access while limiting shared participation. These are not failures to understand inclusion. They may be real conflicts among goods that the umbrella term had hidden.

So the benefit of Williamson’s discussion here is not destructive in any crude sense. He does not tell us that inclusion is meaningless. He tells us to be suspicious of how quickly we turn a morally compelling educational slogan into a deep metaphysical object. The Finean machinery had already helped us see that educational life contains layered structures of possibility, dependence, and generated form. Williamson now helps us see that some apparent essences may be artefacts of our own sorting habits. In the case of inclusion, that may be exactly the right warning. What looks like one majestic educational reality may, under pressure, dissolve into a family of distinct but important goods. And paradoxically, that dissolution may be a gain, because it frees educational thinking from the tyranny of a grand but under-analysed ideal and allows more honest, more discriminating, and more just judgements to emerge.