On 28 Dec 2013, at 17:43, Stephen Paul King wrote:
Dear Bruno,
On Sat, Dec 28, 2013 at 7:30 AM, Bruno Marchal <marc...@ulb.ac.be>
wrote:
On 28 Dec 2013, at 05:27, Stephen Paul King wrote:
Hi LizR and Jason,
Responding to both of you. I don't understand the claim of
determinism is "random noise" is necessary for the computations.
Turing machines require exact pre-specifiability. Adding noise
oracles is cheating!
But it exist in arithmetic. Subtracting it would be cheating. the
silmple counting algorith generates all random finite strings
(random in the strong Chaitin sense).
Almost all numbers are random, when written in some base. And you
can define the notion of base *in* arithmetic, so they exist in all
models of arithmetic. We can't subtract them.
With respect: No! We cannot wait forever (literally) to obtain
consistency of our data bases in the face of the inability to know
in advance the arrival time of messages in the network.
The fact that arithmetic "contains" all finite (even the random
ones) strings is an ontological claim. I have no problem with the
claim. My problem is that we cannot reason as if time does not exist
when we are trying to construct real computers.
We have to use different ideas, for example: competition for
resources! Platonic computers do not compete for resources nor
change. They are static and fixed eternally...
In God's eyes. We already know that from inside, except for the
measure problem which remains to be solved, things look very dynamical
and changing all the times. Bp & p is already a logic of (subjective)
time. Bp & Dt gives a quantum logic, Bp & Dt & p gives a subjective or
intuitionist quantum logic full of percepts including a time which can
be felt.
It is a trivial exercise to show that all diophantine approximation of
anything physical is emulated in arithmetic, so Platonia contains all
possible competition on all conceivable resources, and actually
anything that you can live, or not live, like the collision between
the Milky Way and Andromeda is emulated statically in arithmetic, and
lived temporally by its emulated persons.
Platonia is static from outside, not from inside. Arithmetic becomes a
block universe(s), although it is more like a "block-mindscape" or a
block multi-dreams".
Bruno
http://iridia.ulb.ac.be/~marchal/
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