On 27 Apr 2017 11:12 p.m., "Brent Meeker" <[email protected]> wrote:

Sure.  Here's the last exchange:

*Davic: As far as the contradiction is concerned, I think you've found it
for yourself. You've said many times that the number 2 has no independent
existence but must depend on there being 2 things. IOW, you take the view
that numbers are inferred only secondarily from objects which, broadly, is
the intuitionist position on mathematics. Fine, if so for numbers, then
equally so for computation. If computation is at root an inference from the
relations between objects, and at the same time one holds that
consciousness supervenes on those inferred relations, then one has reasoned
oneself around in a circle, and not a virtuous one at that. Is it really
intelligible to say that your mind supervenes on a set of secondary
relations that are themselves nothing other than a product of its own
powers of inference?*

* Brent: But on that account they are not "nothing other than" - the are *
*instantiated** computational relations.*

*David: Sorry, Brent, that doesn't help. AFAICT you're just dodging my
point. Could you respond in a way that isn't merely a verbal flourish?*

You didn't explain what point I was dodging.  You said, "*Is it really
intelligible to say that your mind supervenes on a set of secondary
relations that are themselves nothing other than a product of its own
powers of inference?" * And insofar as I understand that, it seems to say
computationalism is incoherent because it would imply that mental
constructs supervene on themselves.  First, that's not what I said.  I
pointed out that I said they supervened on physical instantiation of
computation.  Second, I don't see that saying mental constructs supervene
on other mental constructs is incoherent.  There could be a hierarchy of
self-reflection.


It's your use of the word instantiated that's the dodge. The only work that
word is doing in context is to assume what is demanding an explanation. The
whole question is precisely whether physical objects indeed "instantiate"
computation in a manner that could be shown to make a real difference to
anything, which is to say a difference that doesn't reduce to a mere
redescription of an existing physical state of affairs. And the point then
is that, if your notion of computation is inextricably bound to fundamental
physical action, the relevant physical states continue to evolve one into
another without the necessity of the merest notion of computation.

You're right, I think, to be looking for recursive explanation; that
computation permits an unlimited hierarchy of recursion is indeed its
utility in the subject under discussion. But the hierarchy has to be
anchored in the relevant relations in the first place, which are
definitevely computational not physical. Once that is established in the
theory then of course what starkly demands explanation is the extraction of
characteristically physical relations within, as you elegantly put it, a
hierarchy of self-reflection. Of course this is an open question not a
solution, although as Bruno points out, there are some promising early
indications. And, lest the point be lost, should definitive contradiction
be found in this direction, so much the worse for computationalism as a
theory of mind.

Anyway, there you have both the contradiction and the reversal in a
nutshell. By the way, given the recent references to the alternative
assumption of an "external world", I feel I ought to point out that physics
has surely already shown us unequivocally that there is no such thing. The
most probing investigations have resulted only in the purely mathematical
formulation of a deterministically evolving state of affairs that is
nothing like the concrete perceptual world of inter-subjective agreement
within which we perceive and act. The open question is then: how can it be
that, under such conditions, a concrete world *appears* to exist and how
can such substantial appearances be brought into principled alignment with
what physics is describing? Your hierarchy of self-reflection surely
recommends itself in this regard, but I feel honour bound to say that Bruno
is pointing to a logically necessary point of entry into that maze. Always
assuming (and never forgetting) a prior assumption of the computational
theory of mind, of course.

David




Brent


On 4/27/2017 9:35 AM, David Nyman wrote:

Brent: We've just been through (again) finding there is no
contradiction between physics and arithmetic.  Your answer seems to be
that physics can be an illusion of digital thought, therefore primary
physics is otiose.  But thought can't be a consequence of physics
because....well you just don't see how it could be.

That's a bit quick. I've explained both the reversal and the
incompatibility. Then either you don't respond or your response
suggests you haven't grasped the point. Care to try again?

David

On 27/04/2017, Brent Meeker <[email protected]> <[email protected]> wrote:

On 4/27/2017 12:54 AM, Bruno Marchal wrote:

If there is a primary physical reality, you have to explain how it
drives the arithmetical consciousness flux. But how could it do that?
If it does it in a digitally simulable way, it cannot work (because
that is done in arithmetic too)

We've just been through (again) finding there is no contradiction
between physics and arithmetic.  Your answer seems to be that physics
can be an illusion of digital thought, therefore primary physics is
otiose.  But thought can't be a consequence of physics because....well
you just don't see how it could be.

Brent

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