Commentary on passages from Wittgenstein on Rules and Private Language, pp. 15-37


COMMENTARY:  Depending on one's reaction to this passage, the sceptical problem is going to seem either absurd or profound.  For this passage reveals that the sceptic, in order to hang onto the idea that someone might, for all anyone can tell, have a bent use of 'plus', (to use Blackburn's phrase), has to suppose that many other terms are also being used in a bent way. But surely it is one thing to allow the possibility that someone has a bent use of 'plus' but quite another to suppose that someone who gives the usual explanation for what s/he meant by 'plus' nonetheless has a bent use of 'plus' because it's possible that the terms of the explanation are being used "bently", and so on! By my lights, this is simply to multiply the number of absurdities one must believe in order to accept the sceptic's original claim about our use of 'plus'. In short, that the sceptic is forced to reinterpret the whole of our lingo in order to save his original hypothesis that we meant quus rather than plus is a sign of desperation, revealing the absurdity of his original hypothesis.

Nor is the sceptic's ploy here to be identified with "Wittgenstein's well-known remarks about "a rule for interpreting a rule"."  (As Kripke suggests on p. 17).  This can be seen most clearly by appreciating how different Wittgenstein's own remarks are from Kripke's sceptic.  A careful reading of, e.g., PI §§185-187, reveals that Wittgenstein sees no problem at all in our saying that we meant a rule to be carried on one way rather than another at the time that we gave expression to it.  In particular, Wittgenstein allows that if I order someone to "Add 2", it's perfectly legitimate to say that I mean him/her to write 1002 after 1000 and 1004 after 1002, etc., and that I know that this is how my order ought to be followed.

Of course, it's also part of Wittgenstein's story that how I meant the order to be followed, and my knowledge of how the order ought to be followed, is not to be identified with the "correct" way to follow the order.  Nor are we to suppose that my meaning that someone ought to write 1002 after 1000 is the same as my thinking of this step, along with all the others, when I gave the order.  (As Wittgenstein says at §693, the grammar of "to mean" is different from that of "to think").

The fact that signs admit of multiple or continual interpretation is not enough to show that we never really know what we're saying or meaning.  This can be seen by considering an analogous argument from Plato's Republic (Book V), where Socrates contends (or can be read as contending), that the flux of the everyday world renders it unknowable, in a rather fussy sense of knowledge.  But the proper reply to Socrates is to say that knowing, e.g., that Helen is beautiful, is quite compatible with admitting the possibility that she becomes ugly sometime in the future, or that she may in some other sense, e.g., personality, be ugly. 

Similarly, knowing what I mean by 'plus' or 'count' is compatible with acknowledging the possibility of alternative interpretations.  I hold that we understand perfectly well what we mean by 'addition' and 'counting', etc., and so claim, not that 'counting' doesn't admit of nonstandard interpretations (which interpretations must be grasped by me!), but rather that any such interpretation can be recognized as either at odds with or in line with my grasp of the rule.  Indeed, to say that the rule is "engraved on my mind like a slate" is to say that I am quite capable of recognizing when it has been followed, when interpretations agree or conflict with it, etc., and when not.  Insofar as the sceptic allows that the rule for 'plus' is engraved on my mind, there is simply no room left for any doubts about my understanding of the rule, nor, of course, any doubts about whether the sceptic's suggested interpretation agrees or disagrees with my grasp of the rule.

My point here is similar to that made by Wittgenstein at PI §201, viz., the fact that we are able to understand the competing interpretations given by the sceptic shows that we are not the slaves of reinterpretations (i.e., the substitution of one sign for another) of signs or rules; for we have our grasp of them to go on.  It is our grasp that allows us to recognize that the quus interpretation of 'plus' differs radically from the plus interpretation of 'plus'.  Once we see this, we can appreciate that "there is a misunderstanding" in the sceptical challenge. (Cf. PI §201).



It seems clear that Kripke (or KW) is overly impressed with the idea that justifying my present application of a rule requires that there be but one rule that I am following.  If we cannot find ONE AND ONLY ONE rule that I have been following then we can’t say that I am compelled or forced to say one thing rather than another.  If there is no telling that I meant plus rather than quus (and there isn’t), I can’t be compelled to say ‘125’ rather than ‘5’.  But how does this warrant saying I can’t justify saying ‘125’ by saying I am plussing?  I don’t get it and neither should anyone else.
 
Contra KW’s sceptic, there is nothing blind about plussing, or quussing.  What may be described as blind is our choosing to add rather than quuadd -- after all, we don’t even see quus but even after we have seen it, we can and do close our eyes to it!  But that is not at all the same thing as saying that saying ‘125’ is unjustified, or arbitrary, or “an unjustified stab in the dark”.  For Kripke (or KW), faced with task of “answering” a computation problem (say, 68 + 57), the process of throwing a dart at a dartboard filled with slips of papers with numbers on them, and then giving as my response the number on the paper slip hit by the dart (assuming I hit one, of course!), is just as legitimate means of getting a response to the computation problem as my trying to figure out what the rule for ‘plus’ would demand from me in this case.   But there is no warrant for seeing these methods as equally legitimate.  Of course, if one decided to threw darts to decide which of plus or quus to use in any particular case, that would yield a kind of “unjustified stab in the dark” – but given that both plus and quus are determinate functions, once one or the other of these functions had been chosen, literally, by a stab in the dark, the actual answer one gives to the computation, would be anything but an “unjustified leap in the dark”.    

To be sure, if KW is correct, it is the end of meaning, as we know it.  But try as he may to get us to appreciate that he has successfully established the utter arbitrariness of our responses, he fails.  The fact that for any particular response I give to a computation problem, we can think of a rule that requires that very response, does not mean that we’re unjustifiably leaping in the dark.  On the contrary, the opposite seems to be more accurate:  Try as we may, we cannot leap blindly in the dark, that is, we cannot avoid having our responses forced upon us by some rule or other.  Thus, we could claim that far from being impossible – rules, and all that go along with them (i.e., being governed by them) inescapable.  For the record, and as is usually the case in philosophy, the truth about us and our rule-followings falls somewhere between these two extremes, (1) rules/rule-following is impossible, and (2) rules/rule-following cannot be avoided.  

 



For commentary on passages from p. 38 to p. 77, click here.



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Last modified October 5, 2012
JAH, Professor
Dept. of Philosophy