On 23 Feb 2014, at 15:55, Craig Weinberg 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:
Your questions above are answered in computer science. I think you
should study it. I cannot imagine that you grasp the notion of UD, and
still ask how "numbers can encounter something".
Then a notion like "encounter" seems to assume many vague things. But
then you say it is just sense.
I don't see a theory.
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.
You should be able to give the axioms, without using any special terms.
I will believe that you have a theory, when what you predict is
invariant for the terming used.
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.
We grasp number easily. We don't grasp sense, and humans are known to
fight on this since day one.
You have to find axioms on which you can agree with others, or you
going to just talk with yourself.
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.
That is quite imprecise.
Bruno
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