Godless said:
This is a contradiction; how can it be "things as true statements" and yet we know nothing of what one means to be true. There's no true statement when the principle is "unknown".
Certainly we both agree that natural things exist independently of our perceptions or misperceptions of them, as the case might be (although the little details, at least at the quantum level, do depend quite strongly on our observing them or not). Certainly there are true things about the universe that we don't know today, such as the existence of the Higgs boson. It is either there or it is not, regardless of our current ignorance. However
if we as human beings have limitations in what we can determine about reality, then there will likley be truths that we will not ever discern. I guess where we differ is that you would hold that no such limitations can in principle exist. Is that right? It is either that or we are using quite different definitions of truth.
Godless said:
Don't make assumptions about me, you don't know me that well yet. :bugeye:
Sorry mate, but I did correctly predict your answer, didn't I?
Godless said:
A multiuniverse is nothing more than unprovable concept, not even a good hypothesis, when there's no evidence or nothing showing that such a thing exists. Events that happened in the past, have to have been witnesed by somebody, and even then those witnesses may contradict themselves of what was seen or happened. This is also kind of vague, what events in the past are you talking about, human events, ecological, astronomical etc?
The multiverse is a notion taken seriously by more than one cosmologist. I agree that currently there is no hard evidence of it - at least according to my imperfect understanding of the current state of cosmology.
As for the events of the past I mentioned, sorry for the confusion, I was referring to an earlier post. I simply described an experiment in which I basically flipped a coin without observing the result and then put it back in my pocket. Either "the coin was heads" or "the coin was tails" is a *truth* and the other is necessarily a falsehood. But no one saw it, so it is an undecidable proposition, of sorts. It is a truth about the world that is unknowable.
As Raithere had pointed out some ways back, complete knowledge is never going to be possible in principle because of quantum indeterminancy. I'm not sure this works into the concept of Truth, per se, though. After I measure the x-component of spin of an electron I cannot know what the z-component will be with certainty. I don't think that there is a "truth" out there in that particular case that the "truth" happens to be "spin up" for example. The z-component of spin cannot even be said to exist in a definite sense, it is a linear combination of two opposite states -
that happens to be the (strange) truth, along with the fact that there are no hidden variables to control which state will obtain due to a measurement. There is a fundamental kind of mystery that is built into the fabric of reality it seems, a mystery we cannot seem to penetrate.
Or, if I devise a formal axiomatic theory that is sophisticated enough to account for arithmetic, there will be truths in that system that cannot be reached by those axioms. So how can I be sure I have found all the truths? I can respond by creating a larger system that contains the previous one and allows me to reach those truths, but in the process I've just generated more unreachable truths. If this keeps going on and on, it seems that the ratio of unknown truths to known truths will always exceed 1. I don't see how it is possible that all the truths could be known because we would run out of time. (Either that or I don't understand Godel correctly. I've been trying to for a while, and it hurts my brain. Whether or not this paragraph follows from Godel's work is probably worthy of it's own thread.)
What if there are an infinite number of truths? Then what? This is purely rhetorical and meant to spur discussion. Can we even decide if the total number of truths is finite or not?
Do the mathemtical truths of an axiomatic system put togtether by a human correspond to truths about reality? I think they do, I think math is just as much "out there" in the real world as physics is.