No. I'm saying that there's no natural way to define the terminal state. There are lots of ways to defined it. I define it as a plate of spaghetti. Th...
The nested interval construction can be explicitly written down. I perhaps am not sharing your vision here. Finitely many cuts won't get you enough of...
I love to spread the gospel of Cauchy and Weierstrass. I'm sure I'm not the only one. I've always been a finicky speller. Well "completed" is a loaded...
Well yes, by my definitions "couldn't simulate exactly" is synonymous with couldn't simulate. Again, we have this ongoing equivocation of the word sim...
Your post seems to add nothing new, and does not appear to engage with any of the points I've made. I have nothing to add till I see a need to write s...
When I criticized the notion of emergence, you could have said, "Well, you're wrong, because this, that, and the other thing." But you are unable to e...
The programmers gave it no internal model. It developed one on its own. I'm astonished at this example. Has caused me to rethink my opinions of LLMs. ...
I've seen that used as an argument against simulation theory. That it takes energy to simulate each level, and there wouldn't be enough energy several...
I won't argue this point with you. I stand by it. I can't see that you have a position. I see you as struggling to understand the nature of the mathem...
Thompson's lamp does not lead to a contradiction showing that supertasks are impossible. That's your interpretation, which you are failing to explain ...
Yes, I am experiencing that myself. No idea what's being argued in some of these threads or what claims anyone is defending. I try to take a useful ro...
I was especially impressed by the heat map data and I do believe I mentioned that in my earlier post. Indeed, I wrote: A little later in that same pos...
I just watched a bit of 3blue1brown's video on transformers. Will have to catch up on the concepts. I confess to having my viewpoint totally turned ar...
I think they are chainsaws, not to be trifled with by the untrained masses. I do. But I assume it's possible that there's some clever Ramanujan insigh...
Beneath my skepticism of AI hype, I'm a big fan of the technology. Some of this stuff is amazing. Also frightening. Those heat map things are amazing....
Ok. Possible worlds. I actually took a class where we talked about that, but I have a hard time understanding the concept. There are people who think ...
Why on earth would you think that? It clearly has no sum, since the sequence of partial sums has no limit. It's not made of points but it's made of po...
Less Wrong? Uh oh that's already a bad sign. I'll read it though. I do allow for the possibility that I could be wrong. I just finished replying to a ...
I take emergence to be a synonym for, "We have no idea what's happening, but emergence is a cool word that obscures this fact." I'm sure these links e...
I believe you're equivocating in the sense that you don't distinguish between the successively halved time intervals as: a) An abstract, hypothetical,...
Agreed. My point is that the humans are the weak link. Another interesting point is deception. For Turing, the ability to fool people about one's true...
Thanks, guess I can no longer just copy/quote the whole response any more. Have to do it one paragraph at a time. Nothing is at stake for me or you, b...
This is very different than simulation theory as I understand it. Sim theory doesn't say the simulator approximates our world. Sim theory says the sim...
No prob, I'll be here. Just remember: Once you stipulate to the rationals, you get the reals for free. I thought at one point that those were your fic...
The Turing test was passed a number of years ago by a chatbot named Eugene Goostman. The problem with the Turing test is that the humans are not suffi...
I agree. It often doesn't matter. If the simulator only simulates my experience but my mind is outside that, it's VR. If the simulator also instantiat...
Sorry about that. I typically select the entire post and hit Quote, and it seems to lose a lot of the attribution. The limit is not part of the sequen...
Nothing "emerges" from neural nets. You train the net on a corpus of data, you tune the weightings of the nodes, and it spits out a likely response. T...
Ok. Well I have no strong opinion about supertasks one way or the other, and can defend either position. Perhaps I'm misunderstanding what you're tryi...
I'll take the other side of that bet. I have 70 years of AI history and hype on my side. And neural nets are not the way. They only tell you what's ha...
Ok I might have been confused. Oh ok these definitions are changing. Simulation, in the sense of simulation theory, means that my reality (VR) or my v...
Perhaps I misunderstood. What then? Not conversant with the technical meaning of realism in this context, probably can't hold up my end of this. Is th...
Impressive but meaningless, as all LLM output is. Not because machines could never be conscious. I believe they can't, but I could be wrong. Rather, b...
Don't know how to answer that. If there is an ultimate reality, whether we have access to it or not, that's what it is. If there isn't, then maybe it'...
Of course. Fully agreed. But that's YOUR hypothesis, not mine. Am I wrong about that? What am I missing here? Isn't that your example? You have repeat...
It's the only way I can make sense of what you're saying. is standard mathematical notation for a particular set of real numbers. You can't fault me f...
Me? I make no such claim. I've made the opposite claim. I say that consciousness is physical but not computational. I hope that's clear. Or was that f...
The world can not be simultaneously Euclidean and non-Euclidean. Algebra and calculus can both be true of the world. They don't contradict each other....
Reality is what's really going on in the world. Not sure why you regard that as problematic. A bat has a particular view of the world, as does an ant,...
I'm asking, in what sense? Surely math has never been fixed. It's always changing. It's a human activity. Do you believe that God's math book is alrea...
Why do people who reject God accept the Great Simulator? The GS is just God constrained to computability. One could write out the equations for a geoc...
Ok. I wanted to say that I'll stipulate to your non-rigorous conception of a continuum of being made of tiny little continua "all the way down," with ...
Surely few if any people believe math is "fixed." Math is historically contingent and changes all time time, with a massive volume of new papers publi...
But you just proved P2 yourself! You agreed that under the hypothesis of being able to recite a number at successively halved intervals of time, there...
Thanks. Well metaphysics is just "What is reality?" And it can't exactly be our math, because we can see that it wasn't quite what Newton wrote down, ...
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