rule-following paradox

rule-following paradox
source
Name	Rule-following paradox
Field	Philosophy of language; Philosophy of mind; Epistemology
Notable figures	Saul Kripke, Ludwig Wittgenstein, Hilary Putnam, Wilfrid Sellars
Introduced	20th century
Related	Meaning; Private language argument; Skepticism

rule-following paradox

Overview

The rule-following paradox is a philosophical problem concerning how an individual can determine the correct application of a linguistic or practical rule when any finite set of observed applications underdetermines future applications. Influential in debates involving Ludwig Wittgenstein, Saul Kripke, Hilary Putnam, Wilfrid Sellars, and others, the paradox challenges accounts of meaning and intention tied to solitary interpretation, appealing to issues raised in Gottlob Frege, Bertrand Russell, and the later analytic tradition including G.E. Moore and John Austin. The paradox is often linked to the private language argument and to forms of skepticism about normative guidance in Wittgenstein's later work and subsequent readings by commentators and critics.

Historical Origins and Key Figures

The roots trace to debates in early 20th-century philosophy: Gottlob Frege's work on sense and reference, Bertrand Russell's theory of descriptions, and Ludwig Wittgenstein's shift from the Tractatus to Philosophical Investigations. Wittgenstein's discussion of following a rule and the possibility of a private language became central, later examined by Saul Kripke in his provocative Kripkenstein interpretation, which drew fire from scholars such as Hilary Putnam, Wilfrid Sellars, Gareth Evans, and P.F. Strawson. Contemporary contributors include John McDowell, Stanley Cavell, Michael Dummett, Donald Davidson, and Elizabeth Anscombe, each situating the paradox within broader debates about normativity, meaning, and communal practice. Historical antecedents can also be found in Immanuel Kant's concerns with rules and autonomy and in discussions by David Hume on custom and habit.

Philosophical Formulation and Arguments

The paradox is often presented through a skeptical argument: for any finite record of past applications, multiple continuations are logically compatible, so no fact about an individual's past use can determine a unique rule for future use. Kripke's formulation uses a thought experiment about a person (called "S") who has always used the word "plus" to add numbers but whose utterances might be consistent with an alternative operation. This generates a challenge related to readings of Wittgenstein's passages about following a rule that seem to lead to radical meaning skepticism, similar in structure to skeptical problems discussed by René Descartes and later epistemologists such as Edmund Gettier. The argument engages concepts from Saul Kripke's skeptical scenarios, Hilary Putnam's semantic externalism, and debates over internalism versus externalism in the work of Tyler Burge and Donald Davidson.

Responses and Proposed Resolutions

Responses split into naturalistic, communal, semantic, and pragmatic strategies. Naturalistic responses appeal to causal-historical accounts in the style of Hilary Putnam and Tyler Burge, invoking social practices like those discussed by John Searle and institutions such as Oxford University or Harvard University as determining standards. Communitarian readings emphasize public criteria drawn from Ludwig Wittgenstein's later remarks and social norms invoked by Stanley Cavell and John McDowell. Semantic approaches propose rule-constituting facts grounded in external-world relations as in Hilary Putnam's twin-earth arguments and Donald Davidson's triangulation. Pragmatic or dispositional strategies, defended by thinkers influenced by Wilfrid Sellars and G.E. Moore, appeal to trained dispositions and practices exemplified in institutions like the Royal Society or legal bodies such as the United States Supreme Court. Kripkean critics and defenders often dispute whether skepticism is genuine or merely dialectical, with replies from Michael Dummett and Elizabeth Anscombe stressing conceptual clarification.

Applications and Implications

The paradox impacts theories of meaning, mind, and normativity across discussions in analytic philosophy, cognitive science, and legal theory. In philosophy of language, it interacts with debates about semantic externalism prominent in work at University of Pittsburgh and University of Oxford. In philosophy of mind, it bears on representationalism as debated by scholars at institutions like Massachusetts Institute of Technology and Stanford University. In ethics and legal philosophy the challenge informs accounts of rule-following in judicial interpretation involving bodies such as the European Court of Human Rights and the International Court of Justice, and it resonates with hermeneutic concerns in the scholarship of Hans-Georg Gadamer and Paul Ricoeur. The paradox also influences cognitive science programs at University College London and neuroscience groups exploring rule-based behavior.

Criticisms and Ongoing Debates

Critics argue the paradox rests on misinterpretations of key texts or on unrealistic idealizations about solitary agents. Scholars such as John McDowell, Stanley Cavell, Elizabeth Anscombe, and Gareth Evans have contested Kripke's skeptical reading of Wittgenstein, while analytic philosophers like Tyler Burge and Hilary Putnam propose externalist rebuttals. Ongoing debates focus on whether communal practices suffice to dissolve skepticism, whether semantic theories can ground normativity without circularity, and how empirical findings from cognitive psychology and neuroscience bear on philosophical accounts—bringing in work from Noam Chomsky, Daniel Dennett, and experimentalists at Princeton University and University of California, Berkeley. The rule-following paradox remains a live site for interdisciplinary inquiry, bridging historical scholarship on Ludwig Wittgenstein with contemporary analytic, continental, and empirical research.

Category:Philosophy of language