Thommo wrote:Ragwortshire wrote:Firstly, one could go back to old pagan-ish ideas - it would be possible for the behaviour of a universe to be determined by conscious "spirits" which were not gods (in the sense of not having created the universe). Secondly, the behaviour of the universe could be determined in a random fashion, according to some completely arbitrary probabilistic principle. Perhaps (although this is an offhand idea which I do not really expect to be coherent) we could be even more fanciful and imagine a universe in which every single particle has free will, so that the whole universe has literally complete freedom to behave in any way at all.
So your alternative suggestions are relabelled god (remember that it was any god, not just a creator god, I took pains to point that out) and relabelled natural laws (quantum mechanical laws are probabilistic, there's no prohibition in the definition of natural laws on randomness).
Hmm. I actually can't find where you said you were ruling out all gods - I assume then that the belief you are proposing here is something like "No conscious being exists which does not depend fully upon the physical universe"? I assume you would hold free-willed particles to be ruled under this definition as well? And also apologies if I have missed an obvious statement in one of your posts to this effect.
On the other hand, I quite agree that natural laws as they are normally understood do include probabilistic ones - and I am happy that the point is now clarified.
Thommo wrote:Ragwortshire wrote:There is, however, and even more fundamental point to be made: Why does the behaviour of the universe need to be determined by anything at all? Why couldn't it just behave in an arbitrary fashion, obeying no laws - not even probabilistic ones - short of listing, at every point in time, the position and properties of every single particle?
Interesting question. Is disproved by observational reality and so isn't a possible alternative answer to my question, but a nice hypothetical.
Hmmm. Is "observational reality" supposed to refer to something like the weak anthropic principle? Or are you rather saying that we observe natural laws to exist and therefore the universe is not in fact arbitrary in nature?
In either case, I should point out that this is not just an isolated example - the universe could be partially determined by natural laws, and partially arbitrary. Indeed, partly following on from your own logic, a partially arbitrary universe seems to be the only possible alternative to a universe governed by natural laws, regardless of whether or not God exists! After all, if a God exists and intervenes in the world, then either those interventions follow some sort of natural law, or they are themselves arbitrary.
I do think this is rather a fascinating topic by the way - quite apart from questions of theism or atheism.
I apologise that I do not have time to respond to all of the points you have raised so far - I will of course do so as and when I am able. For now, I just want to return briefly to the point about omnipotence (and omniscience), and the language in which these concepts ought to be expressed.
So far I have the following: We might start with first-order logic, using function-symbols and relation-symbols as our structure. We could also bring set theory - ZF, I guess. Then all we need is a set of agents (who can do things), a set of actions, and a relation between the two, say C(a, b) which says "a is able to do b". The omnipotence of x is simply the statement "For all y, C(x, y)".
Does this seem to make sense so far? If so, then my main problem is how to define the set of actions. At this point I am quite unsure of how to proceed, so if you have actually gone through this same process before (I got the impression from your posts that you have), I would appreciate knowing how you approached this problem.