Work #921 · Mature (Kripke's second major book after Naming and Necessity, 1980) period

Wittgenstein on Rules and Private Language

Kripke's 1982 "elementary exposition" of the rule-following considerations in Philosophical Investigations §§138-242 — the source of "Kripkenstein"

Saul Kripke · 1982 (Harvard UP; based on 1976 Wolfson College lecture, 1977 Princeton seminars) · English · Philosophical monograph

Tradition: Twentieth-century analytic philosophy of language / Wittgenstein scholarship

There is no fact of the matter about what a rule "requires" — the meaning skeptic's challenge is the real heart of Wittgenstein's later philosophy

Kripke's 1982 monograph is a 150-page "elementary exposition" of what he calls "the skeptical paradox" he finds at the centre of Wittgenstein's Philosophical Investigations §§138-242. The paradox: take "plus" and an agent who has computed only finitely many sums correctly. What fact about that agent makes it the case that she meant the addition function rather than some bent function ("quaddition," equal to addition for small numbers but yielding 5 for any computation above 57)? Kripke argues that no internal fact (mental image, disposition, prior intention) and no external fact (community usage, biological hard-wiring) can settle the question — the meaning-determining fact does not exist. Wittgenstein's "skeptical solution" is to abandon the truth-conditional theory of meaning and replace it with an assertibility-conditional theory grounded in community agreement. The exposition is presented as Wittgenstein's position (the figure who emerged became known as "Kripkenstein"); whether it is accurate to the historical Wittgenstein is the question that has divided the secondary literature ever since. Foundational for late-twentieth-century philosophy of language, mind, and rule-following.

Author

Editions cited

  • Wittgenstein on Rules and Private Language: An Elementary Exposition (Harvard UP, 1982; UK Blackwell, 1982); reprinted with minor corrections

School Embodiments

Analytic Metaphysics / Logical Atomism · 30%
Logical Positivism · 10%
Pragmatism · 15%
Structuralism · 10%
Constructivism · 10%
Postmodernism · 5%
Naturalism · 10%
Analytic Philosophy · 8%

The book is a paradigm of analytic philosophy of language — careful construction of a thought experiment, exhaustive consideration of candidate solutions, sharp exhibition of where each fails.

"The skeptical paradox is the central problem of Philosophical Investigations. If we want to see Wittgenstein's book as having any unity, we must see the rule-following considerations as central." (Wittgenstein on Rules, ch. 2)

Kripke's framing — what would have to be the case for a meaning-attribution to be true — descends from the verificationist heritage, even though he uses it to defeat the verificationist programme.

"What is the fact about me, in virtue of which I mean addition by 'plus'? Let us consider what the fact would have to be like." (Wittgenstein on Rules, ch. 2)

The "skeptical solution" — meaning consists in community assertibility-conditions, not in independent fact — has substantial pragmatist content; Quine, Sellars, and the broader American pragmatist tradition prefigure the move.

"The skeptical solution shows that, although Wittgenstein's skeptical problem is correct, this does not lead to the consequence of solipsism or skepticism in any practical sense." (Wittgenstein on Rules, ch. 3)

The shift from individual to community as the locus of meaning-determination has structuralist affinities — meaning is constituted by relations within a system, not by reference to extra-linguistic facts.

"What was Wittgenstein's skeptical paradox? That all language, all concept formation, is impossible, indeed unintelligible. The skeptical solution is that the community gives meaning where the individual could not." (Wittgenstein on Rules, ch. 3)

Meaning as community-constructed rather than as discovered is a constructivist position; the rule-following considerations are foundational for late-twentieth-century constructivist epistemology.

"There is no 'object' for the inner private experience to refer to. Meaning is a public phenomenon." (Wittgenstein on Rules, ch. 3)

The denial of meaning-determining facts has been read (against Kripke's own commitments) as a postmodern move, dissolving the metaphysics of meaning into the contingencies of practice.

"If there is no fact about me that distinguishes my meaning plus from my meaning quus, the obvious conclusion is that there is no such fact." (Wittgenstein on Rules, ch. 2)

The exhaustive consideration of candidate facts — dispositions, mental images, brain states — that might settle meaning-attributions takes naturalist accounts seriously even in defeating them.

"A finite past of computations is consistent with infinitely many functions; any candidate fact we consider must distinguish among them." (Wittgenstein on Rules, ch. 2)

Analytic-philosophical tradition.

Internal Tensions

Whether Kripke's "Kripkenstein" is faithful to the historical Wittgenstein is contested: McDowell, Diamond, and Conant argue for a quietist reading on which there is no genuine skeptical paradox; Wright, Boghossian, and Soames take Kripke seriously as exposition. The "skeptical solution" is itself controversial — community use seems just to push the problem back one level, since communities too have only finite past behaviour. Davidson, Pettit, and Brandom all proposed alternative responses to the rule-following considerations that take Kripke's problem seriously while resisting his solution.

I. Time

The temporal sequence of finite past computations — necessarily finite, never sufficient to determine an infinite extension.

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

II. Space

The community as the social space within which meaning-attribution becomes possible.

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

III. Matter

Embodied finite agents whose physical computations cannot, on Kripke's reading, determine the meaning they instantiate.

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

IV. Observer

The individual rule-follower and the community of co-followers — meaning is a relation between them, not an internal state of either.

Attributes
Time Instance: Single Space Instance: Single Knowledge Extent: Partial Knowledge Retainment: Total Physicality: Embodied Agency: Active Number: Plural Metaphysical Agency: None

V. Energy

The cognitive energies of computation; the social energies of community correction and affirmation.

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

VI. Information

The decisive dimension: there is no fact-of-the-matter information that distinguishes addition from quaddition for any finite computer — meaning is community-constituted, not individually determined.

Attributes
Ontological Status: Relational Cosmic Conservation: Conserved Personal Conservation: Non-conserved Granularity: Discrete

Personas with the nearest attribute fingerprint

Historical figures whose own classification on the same six-dimensional grid lands closest to this work's. Computed by attribute-agreement on coordinates both address.

Computed school proximity

The work's attribute fingerprint scored against all schools using the same quiz scorer. Useful as a sanity check on the hand-curated embodiments above.

How Wittgenstein on Rules and Private Language resolves each dilemma

51 resolved positions across 4 dimensions, including 6 distinctive where the majority of schools go the other way · 6 unaligned.

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

Time · 9 dilemmas · 3 distinctive

Persistence, the future, and the direction of becoming.

Distinctive · only 15% of schools agree (31/202)
Is the universe running out of usable energy?
The heat death of the universe — entropy maxed out, no further work possible — is among the more sobering implications of mainstream physics. Whether it is structurally inescapable depends on what kind of finitude the cosmos has.
Both time and matter are unbounded; 'running out' is misframed.
On this view, the cosmos has neither a temporal horizon nor a material exhaustion point. The framing of running out presupposes bounds that the cosmos doesn't have. Energy gradients perpetuate; new configurations emerge; the categories that make heat-death scary don't apply at the cosmic scale.
Roads not taken Time is unbounded but matter is finite; usable energy can fail without time failing. (47%) · Time both has and lacks bounds depending on the level you ask at; finitude is conventional. (26%) · The cosmos has bounds; heat death is a real horizon. (12%)
Distinctive · only 15% of schools agree (31/202)
Are natural resources fundamentally finite, or only practically so?
Whether we can grow our way out of resource constraints — or whether the cosmos sets limits the economy ultimately must obey — depends on what kind of finitude matter has.
Resources are practically inexhaustible on cosmic scales; terrestrial limits are engineering.
On this view, matter and time are both unbounded at the largest scales. Terrestrial resource limits are real engineering and political constraints but not metaphysical ones; the cosmos can in principle support whatever expansion intelligence is capable of.
Roads not taken Time goes on but matter is bounded; we are eventually constrained even with infinite time. (47%) · The finitude question is level-dependent; resource ethics happens at the level that constrains us. (26%) · Resources are finite in the strict sense; living well requires accepting the limit. (12%)
Distinctive · only 15% of schools agree (31/202)
Could we owe future generations more than is materially possible to provide?
If we owe future people a habitable planet and the material means to flourish, and the cosmos is bounded in ways that make those obligations impossible at some scale, the obligation and the possibility come apart. Where they come apart turns on what kind of finitude we live in.
Both time and matter are unbounded; we cannot in principle owe more than is possible.
On this view, the cosmos has the resources to support whatever flourishing future generations are capable of, given sufficient time and intelligence. The impossibility concern is misplaced; the real questions are about trajectories and choices, not about resource ceilings.
Roads not taken Time is unbounded but matter is not; we can owe more across long time than the matter can provide. (47%) · The owing-and-possibility question is level-dependent; we owe what is appropriate at the level we act on. (26%) · The cosmos is bounded; our obligations to future generations are bounded with it. (12%)
6 mainstream positions
Matter · 7 dilemmas, all mainstream

Observer · 37 dilemmas · 3 distinctive

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

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%)
28 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% 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% 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%
6 unaligned
Information · 4 dilemmas, all mainstream
← #920 Men in Dark Times All Works #922 On What Matters →