Well, I agree that the implications of mapping coarser with finer grained ∈-machines 
belong in a church. But the actual mappings (and any attempts to characterize the 
expressive scope of those machines) are a kind of math inquiry, however obscure. What 
irritates me is that people shunt the concept of orders with that of levels. We don't 
need the concept of "leak" if we stick to the tried and true concept of higher 
order languages where the macros are mixed in with the primitives, not somehow 
independent of them.

For example, if we talk about a freezing event, where the "physics" after the 
event are constrained in such a way that we can ignore large swaths of possible events 
because they're vanishingly unlikely, then in a higher order language, those lower order 
operators are still available, just rarely/never executed. While it's true that we could 
instantiate a model that re-created the freeze from first principles, it's efficient to 
launch the system from (second?, derived?) principles instead and watch it play out from 
the freeze onward.

But the higher order language is *open* to thawing the macros, a devolution 
back to a dynamic dominated by the primitives. That won't happen in these 
(strictly) leveled, independent machines.

On 6/14/24 07:25, Marcus Daniels wrote:
The double slit experiment demonstrates what appears to be nondeterminism, but 
that hasn't prevented development of an accurate model of the phenomena that 
deterministic computers can simulate.  I don't have to believe a deterministic 
interpretation of the double slit experiment, but Occam's Razor encourages me 
to.  (I can't control the initial conditions of the universe.)  What is the 
point of discussions about things that cannot be modeled?   These discussions 
belong in a church.  They are not inquiry.

On Jun 14, 2024, at 6:20 AM, glen <[email protected]> wrote:

But the trouble is that controlled experiments are our gold standard for 
testing such. Control is the default. It seems like at least confirmation bias. 
Of course control demonstrates determinism. It's petitio principii. In order to 
demonstrate a counter exmaple, we have to control everything we could possibly 
*ever* control, being left with only that we can't control ... like proving a 
negative.

In that context, those of us who believe there exists some thing we can't 
control act a bit like theists. Whenever they manage to concretely define the 
process they claim is uncontrollable, we demonstrate it's controllability. Then 
they move the goalposts and we start all over again. It's tiresome and even if 
we want to be charitable, allowing that maybe there's something uncontrollable 
out there (or there is something we might call God), at every turn, as soon as 
it's defined concretely, it's eventually falsified. That leads some of us to 
tire out, give up, and just flip the faith and assume there is no 
uncontrollable thing.

On 6/13/24 19:13, Marcus Daniels wrote:
    What’s odd is this idea there is something about nature that can’t be 
described in a repeatable way, such that a digital computer could simulate it, 
in principle.    Paradoxically, to defend that idea, one would have to describe 
an experiment that could illustrate counter examples -- concepts that could not 
be said.   It is obfuscation by construction.


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