I was up until almost 3am, and my short term memory and language goes first when I'm tired, but I'll take a crack at this 'unfalsifiable' topic now....
Before -1 comes -2, and before -2 comes -3, and so on. Suppose that someone were to declare "there exists a negative integer beyond which there are no further negative integers". For any example integer we give, they can always claim that there is a negative integer somewhere beyond it that is the last one. So is the statement unfalsifiable? I think that we can know that the statement is false, not because it is possible for us to contradict the statement with anecdotal evidence, but because we understand what integers are, and they are not the kind of thing that ends. There is a correct inductive proof embedded in our understanding, even though we may not parse it out and express it as a sequence of logical statements.
 Originally Posted by PresentMoment
It is also impossible for anyone to prove that the universe didn't begin 15 seconds ago, and that we simply sprang into existence with memories intact.
I think this is the same kind of problem as the one I gave with integers, its just less obvious. Within the scope of "the universe" as described by the Standard Model, all potential pasts are equally real to the extent that they lead to the present. But none of those innumerable pasts just stop 15 seconds ago, they all follow from potential states that might have been real 16 seconds ago. Within that scope the universe is like the integers, it doesn't stop. But outside of that scope, the thought of "15 seconds ago" has no meaning, since that kind of time is inside the model, not outside of it. In other words, the statement "it is impossible for anyone to prove that the universe didn't begin 15 seconds ago" implies that there's a standpoint from which the universe exists after time t-15 and not before it. But that is not our standpoint inside the universe, since we exist with our "memories intact", and a standpoint outside of the universe doesn't share that standard of time. Furthermore, if there is any kind of difference between having lived 16 seconds ago and merely having memories of having lived 16 seconds ago, such as would make that statement meaningful, we can look to where that difference is to find out if the statement is true or not. If we are strictly animals, then the statement is not unfalsifiable, it is false because 16 seconds ago exists for us, since our memories are intact, and no other perspective is real. If we are not strictly animals, or are potentially in contact with something that is not strictly an animal, such as would make the distinction meaningful, then we can falsify it by attaining additional information. We might have trouble convincing someone else who has less information or less understanding, but that doesn't change whether the statement is potentially unfalsifiable. For myself, I'm pretty sure I'd know it if the world began 15 seconds ago, I'd be aware of the discontinuity between my sensate memory and my deeper being. But if you don't believe this, the statement is still false on purely logical grounds.
Incidentally, maybe the negative integer example isn't as clear as I hope it is. I had an extended argument on slashdot a couple of years ago with a guy who thought that the values of transcendental numbers might depend on physics, and he thought it was presumptuous for me to claim to understand otherwise when he's not aware of a 'consensus'. (Although the circumference of a circle isn't two pi in every metric space, the value of pi is completely independent of that.)
 Originally Posted by PresentMoment
A deistic god is also 100% unfalsifiable, while we can potentially prove how everything in the universe can be explained via the laws of physics, it's impossible to prove a negative, i.e that an invisible god doesn't exist.
It is not impossible to prove a negative, just more difficult. We can inductively disprove the claim that there exists a largest (furthest from zero) negative integer for instance.
For myself, the 'deistic' idea of God, as you are using the term, is disproven based on my experience. There is definitely some kind of ongoing creative interaction between nature and a conscious spirit of some sort. If enough people have this kind of experience, and it is shared and repeated collectively, then there will be a 'scientific' consensus that the converse is disproven. But suppose this is not the case, that there is no real god or 'spirit' of any kind. If you completely understand how the universe works, and this understanding includes no potential means of interaction with an external agent, in any timeframe, and no path of development to or from such a means, then it is proven that no such agent has interacted with or created the world. We don't have that understanding. However, as we do gain some understanding, we can generally rule out the ideas that people might have of what such an interaction would be like, which is almost the same thing, as I mentioned last week.
Incidentally, the common dictionary definition of the word "deist", which you seem to be using, seems to me to come from the non-Deist writing of history , and is at best a simplification of Deist criticism of Christianity.
"The belief, based solely on reason, in a God who created the universe and then abandoned it, assuming no control over life, exerting no influence on natural phenomena, and giving no supernatural revelation."
It would be kind of like going to Rush Limbaugh for a definition of what a "liberal" is. Here are words of Thomas Paine for contrast:
"The opinions I have advanced ... are the effect of the most clear and long-established conviction that the Bible and the Testament are impositions upon the world, that the fall of man, the account of Jesus Christ being the Son of God, and of his dying to appease the wrath of God, and of salvation, by that strange means, are all fabulous inventions, dishonorable to the wisdom and power of the Almighty; that the only true religion is Deism, by which I then meant, and mean now, the belief of one God, and an imitation of his moral character, or the practice of what are called moral virtues – and that it was upon this only (so far as religion is concerned) that I rested all my hopes of happiness hereafter."
Although this bears some resemblance to the dictionary definition of Deism, there's nothing here that exalts reason at the exclusion of love or intuition, for instance. And if God 'abandoned' the universe, then I don't think that Paine's hope for happiness hereafter makes much sense. Not that his thoughts necessarily make sense entirely. But I think they probably make more sense than is generally assumed by people who haven't sympathetically tried to understand his perspective.
Moving on....
 Originally Posted by PresentMoment
1. Consciousness is a product of the laws of physics and there is nothing intrinsically special or unknowable about it, that would therefore allow it to be simulated by advanced computers.
2. That if humanity survives long enough our computers will become so advanced that we'll be able to run virtual worlds complete with billions of conscious creatures on them, and that our descendants will create simulations of the worlds that their ancestors (us) lived in.
 Originally Posted by PresentMoment
Not exactly sure what anyone could possibly know about either the limits of computer modeling or the physics of consciousness that would be required to falsify that thought experiment [of our reality being a simulation].
I think its not a matter of knowing limits of computer so much as thinking clearly about what modeling is. Suppose I bounce a ball. Then suppose I use a computer to model a ball bouncing. In my model maybe I consider gravity, and the way the ball compresses on impact and springs back into shape, and maybe air resistance. Maybe I neglect electrostatic interactions, and consider something like the color of the ball to be completely irrelevant. Although I neglected all those things, I can still imitate some aspects the behavior of the ball by running my very different system which uses transistors and capacitors configured in a way that can be described by discrete algebra. And maybe if I do consider the ball's color, and include a display, and use sophisticated ray tracing techniques, I can even make a movie of it that appears indistinguishable from an outside view of a real ball. But what distinguishes it from the real ball is what I left out. If I make it faithful in all those ways, then it is no longer a dynamic system of transistors and capacitors and diodes, it is actually a ball. The ball is its own computer. Within the scope of the known physics of how it works, there is no hidden other computer that it depends on. If you have a simple relationship, for example, y = dy/dx, with all that implies, this has some behavior y = exp(x) + k that is wholly defined within itself, not added by some other external witness or 'simulator'. Physically, a ball is like that. In the sense that these 'virtual worlds' are complete, worlds were created, not simulations of worlds. And to a remarkably large extent the physical world as we know it is complete like that, without an external 'computer'. Here again we have proven a negative, because within a certain scope there isn't anything left over for a hypothetical computer to do.
And yet, at the same time, there is something left outside, the world as we know it is in fact incomplete. Aside from the difficulties we have reconciling models that work well on very different scales, much is left out. Some people claim that what is left out is entirely random in principle, or that its randomness or lack of it is unknowable in principle. Again I view that claim to be both arrogant and ignorant. Its ignorant because it claims knowledge where knowledge is currently lacking, and thus precludes gaining such knowledge.
For myself, it seems indisputable that an awful lot of what some people regard as 'random' is not in fact random. But again, I can't convince everyone else of this, and I would actually prefer that people not believe anything based on what I say. My hope is that they'd just leave the possibility a little bit more open.
I know that when I use the word 'ignorant' this sounds like a condemnation of the other person, and I apologize for that, but I don't mean it that way. I am also ignorant. I'm just trying to describe how I perceive the thought, based on the Latin root of the word.
So beyond the details that we regard as 'physical', I do think that much of the bouncing ball is a part of some other computer. There is apparently something like karma, some kind of connection with thought, and some kind of connection with something that we try to understand when we think about parallel worlds. And there is some flexibility for the physical world, for the ball, to behave in ways that we don't at all expect, for reasons that are outside of the physical ball, as we understand it. Likewise for the appearance of a man walking, as viewed externally, or how that man experiences himself. Whether someone else believes the experiences that inform my views are real or delusional doesn't matter to my essential point though. To whatever extent the nature of a physical object is included within what it is, it is its own simulator. The dichotomy suggested in the 'thought experiment' breaks down and goes away because to some extent the world can be known to be not a simulation, and to some extent it can be known to be part of a simulation of sorts, much of which is beyond us. Obviously none of us understand this more than just a little. My point is merely that its possible to understand it enough that the thought becomes falsifiable, albeit with some degree of difficulty.
If your point has been that these things are really difficult to falsify with any degree of confidence, and you have been using the word 'unfalsifiable' as a shorthand for that, then maybe we have been largely in agreement already.
By the way, I would guess that a machine can probably be made to be conscious. I've implied that I believe in something like fate, that there is some kind of non-local, non-causal interaction between things which is not understood. Given that, I think that to whatever extent you have the machinery of a 'brain', with memory, and interconnections, and some means of being manipulated by Luck, its already intelligent. Maybe it can't be intelligent in the same sense that a human is, because of physical capabilities it lacks due to the way it was built. But if some kind of providence or fate is real, which it very much seems to be to me, based on my life experiences, then everything is a part of something that is intelligent because of the non-locality of the action of that mind. Add capability, and it becomes a more significant part of that mind, and gains an identity inherent to its own memory and dynamics and insulation from other objects. The 'ghost in the machine' is always there already, wherever the machine is.
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