And in being thus an orthogonal kind of space to physical space, information is a proper further dimension of existence. It is part of the fundamental picture in the way quantum mechanics eventually stumbled upon with the irreducible issue of the Heisenberg cut or wavefunction collapse. — apokrisis
Briefly, the idea is this. The universe and all systems within it are assumed to run according to universal laws whether or not observers or life exist. The mathematical descriptions of these laws are interpreted by ontological concepts of space, time, matter and energy but the laws themselves do not include the epistemological concepts of measurement and control events. However, measurement is essential if we want to predict any consequence of laws on a specific observable system. There must be measurement of initial conditions and the measurement process requires local control constraints of a measuring device or instrument.(The Necessity of Biosemiotics: Matter-Symbol Complementarity, H. H.) Pattee
OK, let's start with this premise, there is just one concrete thing, the world. Now, in your last repy to me, you said "all truths are equal, depending on the relations between different objects". The premise that there are different objects contradicts that other premise, that there is just one concrete thing. So according to these two premises, which are contradictory, the idea of truth appears to be a fiction. — Metaphysician Undercover
Yes, there is just one thing, the world, which entails all the configurations or state of affairs between objects.No, it makes a "configuration of objects and things in the world" impossible. There is just one thing, the world. — Metaphysician Undercover
You think that is the definition of computability? — ssu
The point I am making is that giving a proof by computation isn't universal and adaptable to all models. — ssu
The Principle of Sufficient Reason is shown to be false* by the Free Will Theorem of Kochen and Conway. This is discussed in the 1st hour of the 6hr series of lectures given by Conway at Princeton: — tom
The question - and I'm channelling the biologist Robert Rosen here - is whether or not this type of system has a rich enough 'entailment structure' to model the world in it's entirety. — StreetlightX
Here's another question, "How is knowledge possible?" Or if you prefer, "If reality is comprehensible, then what makes it so?"
The CDT-Principle answers that question. — tom
The whole truth is not revealed until this "why" is uncovered, and this is a matter of interpretation. As you can see from the example, the mathematical truth of prediction, constitutes a rather small portion of the overall "whole truth", and it is really just a starting point in uncovering the whole truth. — Metaphysician Undercover
You need to speak about the how of computability before you ask questions about the scope of it. — StreetlightX
There is a way of knowing which is scientific, but there are other ways, at present and for the foreseeable future irreducible to computation, which are just as if not more important: ethical, artistic, political, spiritual. Personal; emotional. — mcdoodle
Not sure why you think that significant. — tom
IF that were the case, then what has Godel have to do with it?
But it's not the case. — tom
There is one way to answer this pertinent question. If every physical law is computable, then we can recreate reality (on a much smaller scale) here on earth...
— Question
We know that every physical law is computable, and that any future law will be too. This is called the Church-Turing-Deutsch Principle (not to be confused with the Church-Turing Thesis).
Even a fairly rudimentary quantum computer will have the sheer capacity to simulate billions of visible universes simultaneously. Programming it to do so, is another matter of course.
And Godel's Incompleteness Theorem certainly comes into play here.
— Question
Pretty sure it doesn't. — tom
manifested from what — apokrisis
