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"
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
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.
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II. Space
The community as the social space within which meaning-attribution becomes possible.
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III. Matter
Embodied finite agents whose physical computations cannot, on Kripke's reading, determine the meaning they instantiate.
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IV. Observer
The individual rule-follower and the community of co-followers — meaning is a relation between them, not an internal state of either.
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V. Energy
The cognitive energies of computation; the social energies of community correction and affirmation.
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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.
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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.
6 mainstream positions
Matter · 7 dilemmas, all mainstream
Observer · 37 dilemmas · 3 distinctive
Mind, agency, and the knower's relation to the known.