Craig, you neglected to justify your premise that
> 1) The intellectual level is the manipulation of symbolic representations

Consider that social interaction is communication from a self to an
other, i.e. manipulation of symbols between subjects and objects.
Otherness is created at level 3, not level 4. Thus we can have:

1) The social level is the manipulation of symbolic representations
2) Symbolic representation requires both something-represented &
something-represented-to
3) Something-represented is an object
4) Something-represented-to is a subject
5) The social level requires subjects & objects
6) :. The intellectual level requires subjects and objects

I suppose this is a more Pirsigian proof. But as I've said, I am not
nearly qualified to speak about this.

Andy
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