Yes, it would imply the observer is external, but then it also would not change anything about how the brain functions. (Or vice versa, but I prefer this one.) I am unconvinced of the truth of what you say in the last sentence of your second paragraph.
Either way, whether or not it might seem implausible, my question is why it is, or is not, implausible. Why exactly, based on what we currently know, is this extremely unlikely?
I don’t see why split-screen mode is crazy talk at all. Is it just because it would imply faster-than-light communication? With our understanding of physics incomplete, I remain agnostic on the existence of FTL, so I wouldn’t rule this out. But even more than that, I’d propose that if there is one observer, there does not even need to be FTL communication in the first place, because it is just that the observer is in more than one place at once, similarly to how a wormhole does not necessitate true FTL. What are the other objections?
The belief system which...
Observe that is a set of natural numbers. If then cannot be finite, and it seems pretty obvious that almost all the elements in are the same (they only disagree at a finite number of places after all).
The bracketed remark doesn't appear to be true. Why can we not have or ? Indeed, by the definition of an ultrafilter, we must have one of them in . Also, in the post, you use for two different purposes, which makes the post slightly less ...
Avtur Chin writes:
which I agree with. This can be contrasted with “From A does not follow not A”, which I believe entails A (as a false statement implies everything?).
When trying to prove a logical statement B from A, we generally have a sense of how much B resembles A, which we could interpret as a form of distance. Both A and not A resemble A very much.
I’ll formalise this... (read more)