On 09 Sep 2010, at 14:37, Stephen P. King wrote:
My thought is to look at the transformation group around which some
property is invariant to act as a generator of the properties of
Good idea. That is related with the importance of group theory and
(soon) category theory in physics.
For simple numbers this would be a permutation over fields, one field
Why? We may have use combinators instead of numbers. Their role are
intensional, and representational. Their intrinsic mathematical
structure certainly plays some role, but I don't see why to use them
directly to mirror physics. Even if that works (by chance) it would
hidden the mind-body problem. Of course it might be very interesting,
and the relation between physics and number theory suggest that such
approach have their merits.
but this seems to not really resolve the question entirely.
I am not sure I have a clear idea of the question, here.
makes me suspicious of the entire Platonic program, for what would
the universal generator of "twoness" as distinguished from
in-itself? Why not some kind of nominalism that transforms
You lost me.
You know how I work. I start from an assumption about some link
between consciousness and Turing 'machine', and from this I derived
step by step a frame which is closer to Plato and Plotinus than to
Aristotle, at least on the "Matter" notion.
BTW, I really enjoyed reading your SIENA paper. My only comment on
it is that I wish you would elaborate more on the diamond^alpha t
because that is where plurality obtains.
Thanks. Actually I think, but I'm still not quite sure, that the
"^alpha" feature should explain the graded aspect of the quantum
logics, which should explains the origin of the tensor product, of the
plurality of dimension, and eventually the (quantum) structure of
space-time. The many worlds are more due to the extreme redundancy of
the computational histories in arithmetic.
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