
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 seeing just how different Wittgenstein's own remarks
are from that of 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).
For commentary on passages from p. 38 to p. 77, click here.
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Last modified Oct. 1, 2000
JAH,
Professor
Dept. of Philosophy