On 23 February 2014 14:55, Craig Weinberg <[email protected]> wrote:

> This might be a more concise way of making my argument:
>
> It is my claim that CTM has overlooked the necessity to describe the
> method, mechanism, or arithmetic principle by which computations are
> encountered.
>
> My hypothesis, drawn from both direct human experience as well as
> experience with technological devices, is that "everything which is counted
> must first be encountered". Extending this dictum, I propose that
>
> 1. There is nothing at all which cannot be reduced to an encounter, and
> 2. That the nature of encounters can be described as aesthetic
> re-acquaintance, nested sensory-motive participation, or simply sense.
> 3. In consideration of 1, sense is understood in all cases to be
> pre-mechanical, pre-arithmetic, and inescapably fundamental.
>
> My challenge then, is for CTM to provide a functional account of how
> numbers encounter each other, and how they came to be separated from the
> whole of arithmetic truth in the first place. We know that an actual
> machine must encounter data through physical input to a hardware substrate,
> but how does an ideal machine encounter data? How does it insulate itself
> from data which is not relevant to the machine?
>
> Failing a satisfactory explanation of the fundamental mechanism behind
> computation, I conclude that:
>
> 4. The logic which compels us to seek a computational or mechanical theory
> of mind is rooted in an expectation of functional necessity.
> 5. This logic is directly contradicted by the absence of critical inquiry
> to the mechanisms which provide arithmetic function.
> 6. CTM should be understood to be compromised by petito principii fallacy,
> as it begs its own question by feigning to explain macro level mental
> phenomena through brute inflation of its own micro level mental phenomena
> which is overlooked entirely within CTM.
> 7. In consideration of 1-6, it must be seen that CTM is invalid, and
> should possibly be replaced by an approach which addresses the fallacy
> directly.
> 8. PIP (Primordial Identity Pansensitivity) offers a trans-theoretical
> explanation in which the capacity for sense encounters is the sole axiom.
> 9. CTM can be rehabilitated, and all of its mathematical science can be
> redeemed by translating into PIP terms, which amounts to reversing the
> foundations of number theory so that they are sense-subordinate.
> 10. This effectively renders CTM a theory of mind-like simulation, rather
> than macro level minds, however, mind-simulation proceeds from PIP as a
> perfectly viable cosmological inquiry, albeit from an impersonal,
> theoretical platform of sense.
>

I'm beginning to get the impression in points 9 and 10 that you are
wavering a little in your blanket rejection of CTM. My contention is that
CTM  already "rehabilitates" and "redeems" its mathematical science in the
sense you suggest as a consequence of its explicit reliance on the
invariance of consciousness to some assumed level of functional
substitutability. This already entails that CTM - as must be true of any
theory that doesn't effectively junk the whole notion as supernumerary -
incorporates consciousness into its schema as a transcendentally original
assumption *at the outset*. Hence it eludes the jaws of petito principii by
seeking not to *explain* but to *exploit* this assumption, at the
appropriately justified level of explanation.

David

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