JoeDawg said:
I'm not sure how a model can be said to control anything. Models as I understand it are useful in making predictions. Beyond that, their reality is irrelevant.
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I can see that you understand the generality of modelling - which is great - but I don't feel you can be that familiar with the deeper literature.
Prediction is another way of saying control over observation, control over measurement.
And models are of course developed so a system can make things happen in its world. And I am used to treating DNA and other such things as forms of modelling.
So "control" is the inclusive term for things which include stuff like "predictions", "anticipations", etc.
JoeDawg said:
But you're not really, taking anything to its limit with the word omnipotence, strongest, or weakest, are limits. Omni implies something is limitless.
And what I'm saying is, the omni state is illogical, in itself.
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Omni should imply "all". That would be crisply everything. Limitless (like boundless) is instead about the vague. It implies something ill-defined, a potential.
So I am being careful with the words here. Though I am sure vagueness and crispness are unfamiliar ontic concepts and will cause confusion. However they are still essential to the points I am making.
JoeDawg said:
But I'm sure you know, an event horizon and a sigularity are not the same. If its an event horizon, then it doesn't describe the sigularity, which lies beyond. Regardless, I think the problem here is in trying to apply a conceptual idea to an observable. Absolute zero is another limit, but it's imposed by a physical constraint, heat is atomic motion, you can't get colder, because once something stops is can't stop more. Omni isn't really about constraints its about lack of constraints, which is why I think its nonsensical. Even infinite, describes a series of something, a progression that involves its own kind of constraint.
To spell it out, the event horizon is what I am calling the real - an approach towards a limit - while a singularity is what must be unreal, the arrival at a destination which we would call "the limit". And so I was appealing to your familiarity with this common example, nature's abhorrence of naked singularities.
You have provided another example yourself - absolute zero. Another bounding limit that can be approached, never actually reached, but by its non-existence, is also fundamental to what exists.
You can cool even the vacuum as much as you like (by expanding the universe towards infinity) and there will still be the quantum rustle of a black body photon radiation. See Lineweaver and Davies on the radiation that arises in a de sitter space simply due to its still expanding event horizons acting on virtual particles.
So truly arriving at absolute rest, absolute zero, is impossible even for the empty vacuum. It is where what is real cannot reach. Yet it exists in a crisply "unreal" way. As a boundary constraint that prevents further action in a direction, it is mostl definitely "there".
I know this sounds strange because people are so used to taking the limit states of things as the real, but that is just a shortcut way of visualising matters. If I draw a picture of a house, the line is the boundary which then makes real all the space within the line - turns it into "house". So now just think of the lines we use to model the house as the boundaries where suddenly "house-ness" stops.
But hey, I'm sure you're much better mathematician than me and will know those tricks with integration and infinitesimals where you achieve great results by subtracting away infinitely small quantities - the equivalent of a bounding pencil mark - to leave only the "inside" of the quantity you seek.