Saturday, January 27, 2007

Wittgenstein Workshop: Sullivan & Moore

Peter Sullivan gave a paper entitled 'Synthesizing without Concepts, or Making Sense of Things', and Adrian Moore gave a reply to it entitled 'Reply to Pete'.
Peter's paper is part of an ongoing discussion between him and Adrian on how to place Wittgenstein, early and late, vis a vis the transcendental idealist tradition. In a nutshell, Peter holds that the early Wittgenstein avoids TI but the later does not, whereas Adrian holds something like the reverse. Peter elucidated the debate in terms of whether Wittgenstein wants to convey, via grammatical remarks, the 'limits' of thought or its 'limitations'. Very roughly, limits do not exclude anything that might be appropriate to the domain of which they mark the boundaries, whereas limitations do. Peter thinks we can only intelligibly talk about limits, suggesting that Adrian takes it that there is sense to talk of limitations (but see below). Peter also thinks that Adrian downplays the doctrine of analysis in Wittgenstein's thought and that, properly understood, analysis should always expose apparent limitations as limits. However, Peter holds that the later Wittgenstein has a tendency to present the results of analysis in a way that makes them seem like limitations, in order to reject doctrines like Platonism in the philosophy of mathematics. Adrian, on the other hand, hears Wittgenstein's remarks in this area as reminders of limits, rather than limitations.
Peter went on to engage with David Bell's conception of 'intranstive understanding', which is the idea that thought engages with the world on the basis of a non-conceptual synthesis that Adrian calls the 'Feeling of Unity'. Peter argued that there doesn't seem to be a problem to which intransitive understanding is the solution: he argued that such understanding just is the unhalting ease with which thought spontaneously engages the world, rather than a precondition of it. On this point, Adrian conceded that the 'Feeling of Unity' is indeed a form of conceptual synthesis. He also accepted that we should only talk of limits rather than limitations. However, he rejected the idea that the later Wittgenstein slides into talking of limitations: rather the talk is of constitutive limits. For Adrian, elucidating the latter does not invite TI, but does bring to light more than analytic trivialities. Limits are not limitations in the transcendental idealist sense. Yet the particular limits we grasp do count as a form of substantial knowledge: they map the constitutive limits of who we are.


1 Comments:

Blogger matt said...

The following points (amongst others) came up in discussion.

1) With regard to Peter's claim that the later Wittgenstein sometimes paints the limits of thought as limitations - specifically, sometimes makes the correctness of the applications of rules depend on standards that are somehow less objective than we ordinarily take them to be (what I think was referred to as the 'rule-following tosh') - it was suggested that when Wittgenstein says Platonism 'sublimes' mathematical rules, he is not in the business of supplying us with an anti-Platonist surrogate conception of mathematial practice that is somehow less than objective. Rather, he is simply pointing that we do use such rules and thus they must be both objective and yet not beyond the powers of the human mind to grasp.

This response seems right to me - it doesn't seem that Wittgenstein is suggesting that rule-following is only possible if its standards of correctness are indexed merely to what 'we' find right (which would be a species of TI). He is simply saying, yes, the standards are objective, and thus we can only have the practice if we can grasp and sustain such standards. The point is metaphysical rather than epistemological: without objective standards and our grasp of them, there wouldn't be the practie we call mathematics. This seems to connect with Adrian's point about constitutive limits: mathematics has the distinctive role it has in our lives because of its specific form of objectivity, so a form of life without that mathematical practice would be very different to ours. So it is not trivial to point up the limits such a practice is articulated by.

2) It was suggested that when Wittgenstein points to the fact that in justifying having correctly following a rule, one can ultimately do no more than reapply the rule, this is because the question is being asked of an individual. Once the practice is widened to include others, there is a justification of rule-following available; something along the lines, I presume, of: 'We are all using the same rules in the same way and so we can reassure one another we have got things right.' I think this has to be wrong. First, mutual reassurance is not objectivity and looks like a socially grounded version of TI. Second, how does it help to justifty the practice if a group of people, all individually incapable of such justification, agree that they use the rule in the same way? Isn't that just saying: 'Look, we are no further on; we all end up simply reapplying the rule when asked for a justification of having correctly followed it!'

6:02 pm  

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