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.

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