I must confess that I've been reading the MGA revisited thread with a
certain sense of frustration (notwithstanding that Russell has made a
pretty good fist of clarifying some key points). My frustration is that I
have never been able to see why we need an elaborate reductio like the MGA
to dispose decisively of a *computational* theory of mind on the basis of a
primitive materiality. The crux of the argument is whether the
"computational" part of the theory can be reduced without ambiguity to the
action of a physical device (e.g. a computer or a brain). If not, what
we're left with looks like a crypto-materialist theory in computationalist
disguise. In point of fact I agree with Stathis that multiple realisability
is already sufficient to establish this point. But let me elaborate a
little further. When we consider the matter, we don't actually observed
"computation" (in any rigorous mathematical sense) in physical reality.
What we observe in practice are physical devices of various kinds (indeed,
in principle, indefinitely many kinds) that we accept FAPP as adequately
instantiating particular classes of computation within certain fairly
stringent limits. To put it another way, we are prepared to interpret the
normal physical behaviour of such devices *as if* it instantiated the
mathematical notion of computation. But at all times it is sufficient to
assume that such behaviour, be it of computers or brains, is constrained
exclusively and exhaustively by physical law. It's their net action, as
physical devices, that is at all times assumed to be essential, whatever
"computational" (or other) interpretation may be ascribed to them
externally. Unfortunately, these otherwise rather obvious facts tend to be
obscured in ordinary, and even in technical, discourse by the free
intermixing of software and hardware paradigms.

These considerations should make it clear that any description of the
normal behaviour of a physical device as computation can only be in a sense
that is, ultimately, metaphorical. This extends to any software
re-description of physical action, as for example Brent's Mars Rover
analogy, or Dennett's "third-person absolutist" take on perception and
cognition. On the assumption of a "primitive physical reality", such
descriptions can (and indeed must) be understood as metaphorical and
approximate, not literal and "absolute". They are grounded in the
assumption of their ultimate reducibility, and approximate equivalence, to
some kind of net physical action. In this light, physical devices don't
literally "compute"; the most we need to say is that their physical
behaviour adequately *approximates* computation, under suitable
interpretation and within certain limits. Under such constraints, it would
seem that a so-called "computational" theory of mind could in fact amount
to nothing other than the claim that consciousness is a *state of matter*.
This particular state of matter, it would be claimed, must obtain whenever
physical action happens to be approximately re-describable (at some
arbitrary level) in terms of a certain class of computation. But given that
the theory is grounded, and is at all times expressible, in terms of an
explicitly physical, as distinct from mathematical, ontology, it is hard to
discern how such a "computational" stipulation could contribute anything
intelligible to the claim.

ISTM that the foregoing considerations are sufficient, on their own merits,
to establish the necessity of the reversal at Step 8, if a *computational*
(as distinct from some sort of tacitly crypto-material) theory of
consciousness, is to be salvaged. If so, it is indeed clear that the task
becomes at least twice as hard as before, as the observed correlations
between matter and consciousness now have to be justified on the basis of
an ontology that is (mathematically) adequate for a general and rigorous
(as distinct from local and approximate) emulation of computation.

David

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