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Rule-Following and A Priori Biconditionals – A Sea of Tears?

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Philip Pettit: Five Themes from his Work

Part of the book series: Münster Lectures in Philosophy ((MUELP,volume 1))

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Abstract

In several parts of his work Philip Pettit suggests a solution to the skeptical problem of rule-following. The hub of this solution is global response-dependence expressed via alleged a priori biconditionals. We scrutinize Pettit’s proposed solution by disclosing several unclarities and ambiguities in his formulation of the a priori response-dependent biconditionals. We argue that especially three aspects remain unclear: (a) What exactly is supposed to be a priori?, (b) What is the response-dependent biconditional supposed to connect?, (c) What does Pettit mean by apriority? Convincing answers to these questions are crucial for the final evaluation of Pettit’s solution.

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Notes

  1. 1.

    Many Wittgenstein-commentators are skeptical that Kripke’s reading is a correct interpretation of Wittgenstein (see e.g. McGinn (1997), chapter 3). Kripke himself is agnostic about this issue (see Kripke (1982), 5).

  2. 2.

    For an overview see McGinn (1997), chapter 3 and Miller (2002). For a collection of seminal papers see: Miller/Wright (2002).

  3. 3.

    Our example is, of course, Kripke’s famous example of “quus”: “So perhaps in the past I used ‘plus’ and ‘+’ to denote a function which I will call ‘quus’ and symbolize by ‘⊕’. It is defined by: x ⊕ y = x + y, if x,y < 57, [or: x ⊕ y = 5, if x,y ≥ 57]. Who is to say that this is not the function I previously meant by ‘+’?” (Kripke (1982), 8f.).

  4. 4.

    See Boghossian (2002), 157, Kusch (2002), 210.

  5. 5.

    See also Wright (1980), 219–220.

  6. 6.

    In response to our talk Pettit admitted that his account can be described to be a kind of mixture of these two classical accounts.

  7. 7.

    “And I have argued that, if we are to make sense of thinking, in particular if we are to resolve Kripke’s version of the Wittgensteinian problem of rule-following, then we must acknowledge a global form of response-dependence.” (Pettit (2002c), 50).

  8. 8.

    For a discussion of realism and response-dependence see also Norris (2005).

  9. 9.

    “It does not say that something is red if and only if it looks red in conditions that ensure that red things look red; it says that something is red if and only if it answers in a certain way to the sensations and practices of those who use the concept.” (Pettit (2002c), 68).

  10. 10.

    See also: “The claim that it is a priori that something is red just in case it is disposed to look red to normal observers in normal circumstances” (Pettit (1998), 56).

  11. 11.

    “Under these accounts we do not think of the property of redness as a disposition, in the way that we think of fragility as a disposition, and yet the a priori linkage between redness and the disposition to produce certain sensations of redness is firmly established” (Pettit (1998), 56).

  12. 12.

    Note that there is also another difference between the quotes: in the first one, Pettit speaks about a disposition to look red whereas in the second quote he talks about looks. We are not sure whether this makes any difference according to Pettit.

  13. 13.

    There are some other quotes we do not really understand in Terms, Things and Response-dependence, e.g. the following one: “Constistently with ‘red’ referring to a mind-independent property, […] there will still be a question as to why that property gets to be identified as redness. And the answer to that question must be that given how we use the word ‘red’, it is a priori knowable that it will refer to a property that causes things to look red” (Pettit (1998), 62). Here, we have a priori knowledge not of a biconditional, but of some causal connection. We leave it to the reader to decide whether this is a new formulation of the biconditional or not.

  14. 14.

    “It is a priori that something is red, in the canonical example, if and only if it is such as to look red in favorable conditions” (Pettit (2002a), 11); “On the account developed here being red is connected a priori with a certain response: looking red in favorable conditions […]” (ibid., 15).

  15. 15.

    In the paper Response-Dependence without Tears that was also published in 2002 and co-authored with Frank Jackson, we seem to have the same incongruity. Thus, we find the following statement: “It may be a priori that something is denominably T, as we can put it, if and only if it is such as to seem T under independent, favorable specifications.” (Jackson and Pettit (2002a), 102). Here, we have an a priori connection between something being denominably t and something seeming T. On the same page, however, it is also referred to the “a priori connection between being and seeming, […] a connection that supposes denominability” (ibid.). Here, denominability is a condition for the connection between being and seeming. We think, as the title of our paper suggests, that we are far away from response-dependence without tears.

  16. 16.

    Cf. JD, 248; Menzies and Pettit (1993), 100; Pettit (2002c), 75.

  17. 17.

    Thus, we find the statement that “response-dependence fits well with realism, even with the cosmocentric aspect of realism” (Pettit (2002a), 14) and also the statement that “response-dependence entails a rejection of the realist cosmocentric thesis” (ibid., 17). We do not see how the same thesis can both fit well with as well as entail a rejection of the cosmocentric aspect of realism.

  18. 18.

    See e.g. Kripke (1980), Scholz (2009), and Spohn (2009), 31–36.

  19. 19.

    See also Pettit’s characterization of a posteriori: “It must be connected to that inclination in an a posteriori fashion, so that it is a matter for empirical checking that the inclination leads a subject correctly or incorrectly” (CM, 95/96).

  20. 20.

    See also: “And this will be a priori knowable, being knowable on the basis of considerations to do with how a basic term like ‘F’ is mastered and gains its meaning.” (JD, 249); “It is a priori knowable, it is knowable just in virtue of understanding how the referent of the concept is fixed.” (CM, 196). “But what the biconditional tells us is still plausibly a priori. Knowledge of the practices current among those who use the concept is sufficient to give knowledge of the truth of the proposition; we do not have to know in detail about which conditions actually pass the discounting test.” (Pettit (2002c), 68/69).

  21. 21.

    See also Pettit (2002c), 69.

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Bahr, A., Seidel, M. (2016). Rule-Following and A Priori Biconditionals – A Sea of Tears?. In: Derpmann, S., Schweikard, D. (eds) Philip Pettit: Five Themes from his Work. Münster Lectures in Philosophy, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-319-26103-4_2

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