School #166

Nominalism

Roscelin, Ockham, Quine, Goodman

Nominalism is the metaphysical thesis that only particulars exist, and that universals — properties, kinds, and abstract objects considered as entities in their own right — are at best names (nomina) or general terms that human minds and languages apply to similar individuals. The medieval debate took shape in the eleventh century with Roscelin of Compiègne, sharpened in Peter Abelard's more cautious doctrine, and reached its decisive formulation in William of Ockham's 'Summa Logicae' (c. 1323) and 'Quodlibetal Questions', where the principle later known as Ockham's razor was deployed to dispense with real universals as superfluous entities. In the twentieth century the position was renewed in a different idiom by W. V. O. Quine's 'On What There Is' (1948), Nelson Goodman's 'The Structure of Appearance' (1951), and the constructive nominalism of Goodman and Quine's 'Steps Toward a Constructive Nominalism' (1947), with David Lewis later developing class nominalism for properties as sets of possibilia. The thesis is austere — there are only individuals — yet its consequences for logic, mathematics, ethics, and theology are large and continually contested.

Worldview

To inhabit nominalism is to feel a strong philosophical preference for desert landscapes — Quine's phrase — in which the ontological inventory is kept as lean as the explanatory work requires. The nominalist looks at the world and sees only individuals: this person, this tree, this triangle drawn here on this page, with the words 'person', 'tree', and 'triangle' doing useful classificatory labour without naming any further abstract entity in addition. There is a characteristic intellectual hygiene in this orientation, a refusal to multiply entities beyond necessity, and a respect for the simplicity that Ockham's razor enforces. Where the realist sees forms shimmering behind appearances, the nominalist sees only resembling particulars and the human work of naming them. The framework classifies this as None: nominalism is in itself a thesis about the ontology of universals, and although some medieval nominalists were devout Christians and others were thoroughgoing naturalists, the position taken on its own terms does not posit a personal deity, cosmic ordering principle, or operative spirit as part of its working ontology of particulars. The framework reads this as Reason: from Ockham's careful syllogistic to Quine's and Goodman's logical reconstructions, the nominalist tradition appeals to disciplined rational argument and theoretical economy as the principal court of appeal in both speculative and normative matters, rather than to scripture, tradition, or unmediated experience.

Moral Implications

Nominalism does not by itself dictate a moral theory, but it has historically encouraged a voluntarist and contextualist style in ethics. Ockham's rejection of real universals went hand in hand with his emphasis on the contingent will of God in matters of moral law, and modern nominalists have typically located the source of moral classifications in human practices, conventions, and decisions rather than in any independent realm of moral forms. This makes the nominalist sympathetic to careful case-by-case analysis, suspicious of abstract moral essentialisms, and attentive to the way moral kinds are constructed and revised over time. The position is compatible with serious moral realism, but it puts the burden on the realist to show how universal moral facts can be cashed out without illicit ontological commitments.

Practical Implications

Nominalism's practical influence is felt in logic, computer science, philosophy of mathematics, and the foundations of classification across the sciences. Its insistence on the priority of particulars underwrites contemporary debates about scientific kinds, the status of mathematical objects, and the metaphysics of properties in software ontology. In law and policy nominalist habits of mind encourage attention to particular cases and suspicion of essentialist categories that would treat social kinds as fixed natural ones. In theology and ethics the doctrine has provided a perennial counterweight to platonising tendencies, sustaining a tradition that takes seriously the operative role of language, convention, and human decision in the constitution of meaningful classifications.

I. Time

Time is substantival, infinite, one-dimensional, continuous, linear, and uni-directional, in line with the natural-scientific picture that contemporary nominalists generally take on board. Freedom is rated as Both because Ockham defended a strong doctrine of contingency and free will under divine omnipotence while later naturalist nominalists like Quine inhabited a broadly deterministic naturalism, and the school as a whole leaves the question to the underlying physics rather than legislating it from ontology. The nominalist treats temporal classifications themselves as products of operating with general terms on particular events.

Attributes
Extent: Infinite Ontological Status: Substantival Grain: Continuous Freedom: Both Traversability: Linear Dimensionality: One Direction: Uni-directional

II. Space

Space is substantival, infinite, three-dimensional, locally Euclidean, and local. The nominalist takes spatial relations among individual bodies as primitive and rejects any commitment to space itself as an additional abstract entity over and above particular places and the bodies that occupy them. The standard scientific picture of space is accepted as the best running account of the spatial relations among particulars. Curvature is flat at the level at which everyday nominalist analysis operates.

Attributes
Extent: Infinite Ontological Status: Substantival Curvature: Flat Dimensionality: Three Locality: Local

III. Matter

Matter is substantival, finite, three-dimensional, conserved, and local. The nominalist takes individual material things — this stone, this animal, this molecule — as the fundamental items of the world, and treats kinds and properties as ways of grouping resembling particulars rather than as further entities. The success of the natural sciences in classifying and predicting the behaviour of material individuals is taken to require no Platonic universals beyond the particulars themselves. Conservation and locality are inherited from the physical picture the nominalist accepts.

Attributes
Extent: Finite Ontological Status: Substantival Conservation: Conserved Dimensionality: Three Locality: Local

IV. Observer

The nominalist observer is a particular embodied subject located at a single point in space and time, whose general concepts are not windows onto a Platonic heaven of universals but operative mental signs that group similar individuals for the purposes of thought and speech. Knowledge is mediated through these concepts and is always partial, since no finite mind grasps every individual or every resemblance among them. The observer is active in framing concepts, classifications, and theories, and observers are plural because nominalism is a doctrine about the contents of the world, not about the existence of minds. Each observer's cognitive economy works without commitment to abstracta beyond what particulars and their resemblances genuinely require.

Attributes
Time Instance: Single Space Instance: Single Extent of Knowledge: Mediated Retainment of Knowledge: Partial Physicality: Embodied Agency: Active Number: Plural Metaphysical Agency: None Moral Authority: Reason Theological Method: Critical

V. Energy

Energy is substantival in the sense that the nominalist accepts the concrete bodies and their causal powers but refuses to reify 'energy' as a universal entity over and above particular processes — there is no Energy with a capital E, only the particular motions and transformations of particular things. Finitude is the natural fit because the nominalist resists positing infinite quantities to do philosophical work that particular cases can do. Conservation holds as a description of how the particulars in fact behave, not as an expression of a Platonic conservation law. Dispersibility is irreversible because the actual particulars of our world dissipate and decay; the nominalist treats the second law as an empirical generalisation rather than as evidence for a metaphysically privileged direction.

Attributes
Extent: Finite Ontological Status: Substantival Conservation: Conserved Dispersibility: Irreversible

VI. Information

Information for the nominalist is borne by particular signs, inscriptions, mental tokens, and the resemblances among individual things, rather than by free-standing abstract entities. It is substantival in the sense that particular bearers of information are real, and conserved because the patterns of resemblance among individuals are stable features of the world. Granularity is discrete because individuals are the units of analysis and signs themselves come in discrete tokens. The framework distinguishes scales: cosmic information is conserved in the regularities among particulars that science and ordinary classification track, while personal-identity information is non-conserved because the mental tokens that constitute a particular person's thought perish with that person.

Attributes
Ontological Status: Substantival Cosmic Conservation: Conserved Personal Conservation: Non-conserved Granularity: Discrete
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Works that name Nominalism in their embodiments

Foundational texts that draw on this school, with each work's declared weight.

8%
Quodlibetal Questions (Mature)
William of Ockham · c. 1322-1325
8%
Treatise on Predestination, Foreknowledge, and Future Contingents (Mature)
William of Ockham · c. 1321-24
8%
Dialogue on the Power of the Pope and the Emperor (Late)
William of Ockham · c. 1334-1346
8%
Commentary on the Sentences (Early)
William of Ockham · c. 1317-1319 (Oxford lectures)
5%
Sic et Non
Peter Abelard · c. 1121–1132 CE

Personas with Nominalism as a declared influence

25%  Peter Abelard 15%  John Duns Scotus

How Nominalism resolves each dilemma

53 resolved positions across 4 dimensions, including 4 distinctive where the majority of schools go the other way · 4 unaligned.

Each dimension is sorted so minority positions come first. Mainstream positions are folded into an expandable list.

Time · 9 dilemmas, all mainstream
Matter · 7 dilemmas, all mainstream

Observer · 37 dilemmas · 4 distinctive

Mind, agency, and the knower's relation to the known.

Distinctive · only 10% of schools agree (21/202)
What kind of religious-theological authority does the tradition recognize?
Religious traditions differ not only in what they believe, but in how authority is structured — and what counts as the right kind of argument.
Historical-critical method is the authority.
Religious claims are evaluated by the same critical-historical standards as any other claim.
Roads not taken The category does not apply — the school is non-religious. (44%) · Direct experiential union is the authority. (16%) · Institutional teaching tradition is the authority. (14%)
Distinctive · only 13% of schools agree (27/202)
Is reality fundamentally digital?
Pancomputationalism, Planck-scale quanta, simulation theory and Kabbalistic letter-mysticism all say yes — but for very different reasons. The rest of the atlas says no.
Yes — bits, quanta, computational substrate.
On this view, the world is at bottom discrete and law-governed, with no metaphysical agency above or behind the substrate. Reality reduces to bits or their physical analogues; the continuous appearance of fields and flows is coarse-graining over discrete underlying structure.
Roads not taken No — continuous divine sustaining act, the Tao that knows no joints, the One's self-disclosure. (44%) · No — continuous fields, classical limits, analog deep structure. (37%) · Yes — but divinely-discrete: divine letters, momentary cognitions, atomistic theism. (6%)
Distinctive · only 13% of schools agree (27/202)
Are there indivisible units of experience?
Whiteheadian actual occasions, Buddhist moments of mind, Kabbalistic letter-cognitions, IIT phi-units — or the unbroken Jamesian stream? The atomism of experience cuts across naturalism and theism alike.
Yes — naturalist quanta of experience.
On this view, experience comes in discrete units defined by the substrate: information-theoretic phi-units, computational frames, discrete neural events. There is no further metaphysical agency that knits them; the appearance of a stream is the way many discrete events present to introspection.
Roads not taken No — continuous divine presence; consciousness is the unbroken witness. (44%) · No — continuous Jamesian stream, phenomenological lived time. (37%) · Yes, theistic atomism — actual occasions, divine letters, momentary cognitions. (6%)
Distinctive · only 13% of schools agree (27/202)
Is memory stored or reconstructed?
Engrams and traces — or continuous re-narration each time you remember? The cognitive-science debate has a theological cousin: divine memory holding each hair, or the ancestors' continuous remembering.
Stored — discrete engrams, traces, weights.
On this view, memory is the readout of discrete information stored in the substrate: engrams, synaptic weights, file-like records. Reconstruction at retrieval is real but secondary; without the stored bits there would be nothing to reconstruct from.
Roads not taken Held in continuous divine or ancestral remembering — neither stored discretely nor purely reconstructed. (44%) · Reconstructed — continuous re-narrating, no fixed engrams. (37%) · Stored — in divine memory's discrete particulars, or in karmic-record units. (6%)
32 mainstream positions
Could causation work backwards? Causation runs one way — the arrow of time is real and structural. 68% Is the asymmetry between memory and anticipation a real feature of time, or just of us? The asymmetry is real because time itself has a real direction. 68% Is the arrow of time a real feature of the cosmos, or only of how we describe it? The arrow is real and structural; the asymmetry isn't an artifact of description. 68% Is environmental damage ever truly permanent? Damage is real and permanent on the relevant timescales. There is no recovery; there is only limitation. 66% Can a civilization recover from collapse? Civilizational complexity is hard to build and easy to lose; recovery is at best partial. 66% Does the second law of thermodynamics mean something morally? Entropy is what time is. The moral weight, if any, is the weight of working against the current. 66% Is truth universal, tradition-bound, situated, or constructed? Truth is mind-independent, universal, accessible in principle to all. 65% When does a person begin? A person exists from conception — when a new being comes into existence. 54% What is marriage? Marriage has a given form — it’s a kind of thing we recognize, not make. 54% Does environmental harm in another country bind me morally? Moral obligation tracks the relations one is in; distance does matter, structurally. 50% Can prayer for someone far away affect them? Prayer changes the pray-er, not the prayed-for. 49% Are coincidences ever more than coincidence? Coincidence is exactly what the math says it is. The pattern is in the noticer. 49% What is our place in nature? Active in a real nature — we cultivate, steward, transform. 48% Should we colonize space? Cultivating worlds beyond Earth is the next form of stewardship. 48% Is genetic engineering of food stewardship or domination? Genetic modification is cultivation by other means. 48% Is divine omniscience compatible with human freedom? The observer is in time; foreknowledge across times raises real freedom problems. 46% Does meditation reveal something genuinely timeless? Meditators are bounded observers reporting unusual brain states; the 'timeless' is metaphorical. 46% Does prayer change God's mind? If there is an addressee at all, it is in time; prayer is communication, and may genuinely change what comes next. 46% Are the dead morally present to the living? Observers are bounded by their own moment, and no further agency makes the dead present. 44% Who is the moral primary — the individual, the community, the cosmos, the class, or the species? The discrete person is the moral primary. 40% Does history have a direction or meaning? History is not where the deepest truth lives. 37% What makes someone the same person over time? You are your body — continuity is bodily continuity. 36% Is the late-stage dementia patient still the person their spouse married? Same body, same person — even when the cognitive pattern has changed. 36% If a teleporter copied and destroyed you, would you have survived? Different body, different person — you died in the scanner. 36% Do animals have moral standing comparable to humans? Animal minds are real because biology is the substrate of mind. 32% Could a fetal brain organoid in a petri dish be conscious? Brain tissue can in principle do what brains do; the question is integration. 32% Should we trust expert testimony when we can't verify it? Trust expertise whose conclusions a competent mind can in principle reproduce. 32% Is religious revelation a real source of knowledge? Revelation is evaluable by reason — and not above it. 32% Does an LLM 'know' the things it correctly produces? An LLM can produce correct outputs but not reason to them; useful, not knowing. 32% What happens to "you" when you die? Death is genuinely the end. 30% Could an AI have a mind that matters? No — mind is what a biological brain does, and an LLM has no brain. 30% How is knowledge of reality produced? Through a priori reasoning and conceptual demonstration. 25%
1 unaligned
Information · 4 dilemmas, all mainstream
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