On 11 Jun 2012, at 17:41, meekerdb wrote:
On 6/11/2012 7:57 AM, Bruno Marchal wrote:
Does it imply that we have an infinite number of levels between
mind and physics?
You can say that.
Imagine yourself in front of the UD. By the invariance of the first
person experience for the delays, you have to take into account all
computations accessing to your 3-actual computational states (in
comp).
This will include some computation made by some universal number
(computer) u, but also the computation made by the universal number
j when simulating u, and then those made by the universal number k
simulating j simulating u, and so on ad infinitum. So there is an
infinity of dream layers, or mind levels between mind and physics.
Physics does not really relies on any particular computations a
priori, but on *all* computations, as defined by the UD processing
(or equivalently by the true sigma_1 sentences weighted by their
proofs).
But that seems to invoke realizes, not just potential, infinities.
Only at the epistemological level to describe the domain of
indeterminacy of the first person. It is the same as in analysis,
except that here it concerns an internal epistemology of numbers, by
numbers betting on comp.
Bruno
http://iridia.ulb.ac.be/~marchal/
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