Crossing pictures of ‘determination’ in Wittgenstein's remarks on rule‐following

Philosophical Investigations 47 (1):32-52 (2023)
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Abstract

In PI 189, Wittgenstein's interlocutor asks, ‘But are the steps then not determined by the algebraic formula?’. Wittgenstein responds, ‘The question contains a mistake’. What is the mistake contained in the interlocutor's question? Wittgenstein's elaboration is neither explicit nor its intended upshot transparent. In this paper, I offer a reading on which the interlocutor's question arises from illicitly crossing different pictures of ‘determination’. I begin by working through Wittgenstein's machine analogy in PI 193, which illustrates picture‐crossing in our ways of talking about a machine. Using the lessons from this analogy, I show how the interlocutor's ‘mistake’ can be diagnosed in similar terms: their confusion about the power of a rule to determine its applications rests on mistakenly crossing a behavioural and a mathematical sense of ‘determine’—thereby concocting a mystifying picture of rule‐following.

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Philip Bold
University of Minnesota

References found in this work

Wittgenstein on rules and private language.Saul A. Kripke - 1982 - Revue Philosophique de la France Et de l'Etranger 173 (4):496-499.
Metaphysics. Aristotle - 1933 - In W. D. Ross (ed.), The Basic Works of Aristotle. Random House.
Kripke on Wittgenstein on Rules.Warren Goldfarb - 1985 - Journal of Philosophy 82 (9):471.
Wittgenstein.Robert J. Fogelin - 1978 - Mind 87 (347):443-445.

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