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
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
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
No models that we use involve these numbers of functions, so that mathematical truth is irrelevant to our present models that we use. Just like non-Euclidean geometry or Computer science was irrelevant to people during Antiquity. — ssu
This is interesting and I don't dare to contest those findings by such brilliant minds. However, how does one explain that man can do what he wills but he cannot will what he wills? — Question
As you may have noticed Occam's razor flies out the window when confronted with the infinite amount of realities in the world. Everettian QM is an elegant solution when confronted with apparent infinities, which supersedes Occam's razor. — Question
Yet simply note that some proof of truth or falsehood can be given by other way than computation, direct proof. Indirect proofs like reductio ad absurdum proofs can prove if something is false or true.Generally, yes. If something can not be proven to be true or false, then is it not undecidable and thus non-halting? — Question
Actually the thing (giving a proof by computation isn't universal and adaptable to all models), isn't just that. It actually does have a lot of effect in real world modelling problems.That's just saying that a system is incomplete and can not prove its own consistency. — Question
3.333 A function cannot be its own argument, because the functional sign already contains the prototype of its own argument and it cannot contain itself.
Yes, there is just one thing, the world, which entails all the configurations or state of affairs between objects. — Question
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