All response experience exists within the brain, yes, but it is only ever made possible through external stimulus. The brain itself doesn't feel anything, but generates those feelings as a response to events outside of itself.
"If it seems strange that nerve signals coming from the back can represent vision, bear in mind that your own sense of vision is carried by nothing but millions of nerve signals that just happen to travel along different cables. Your brain is encased in absolute blackness in the vault of your skull. It doesn’t see anything. All it knows are these little signals and nothing else. And yet you perceive the world in shades of brightness and colors. Your brain is in the dark but your mind constructs the light." — David Eagleman in his book Incognito.
Without the nerves connecting your toe to your brain, you are unlikely to feel the otherwise agonizing pain of having had stubbed it against a coffee table.
Phantom limbs can cause/have pain, partly from the lack of expected predicted feedback. I cannot begin to imagine what sort of chaos, in the dynamical sense, a non-existent body would cause and how that would be represented in the parts of the brain that calculates how to interpret it.
But parts of those nerves are there; you can't really shave them off, they end inside the brain.
Think of it as taking a microprocessor in a circuit and disconnecting every one of its pins except those providing power. How would that microprocessor behave? It's various I/O pins aren't gone, their state and response just became somewhat random.
Your sensory inputs remained connected at all times. That absence is unprecedented in its whole, but we do know that amputated members can hurt, and not just the stump.
Well I'm sure you doing the thought exercise is the same as killing yourself and then reviving yourself 4 hours later to see if you feel any pain, we should all really defer to your scientific ethical expertise in the future.
Just because your brain is where all feelings 'exist' doesn't mean you have the ability to manifest it at will. But the brain does plenty of things to us that we don't want. I don't think excruciating pain would be something a brain-in-a-jar would feel - but it's possible that being deprived of all sensory connections would cause things to get weird quickly. Sort of like phantom limb syndrome!
I've been hurt in dreams, in ways that do not appear to have been the real world poking through. It's never been great pain, but it's been real pain or something very close to it. There's also phantom limb syndrome [1]. It's not hard to imagine whatever mechanism is in play there could run even more unfettered when there is no feedback from the body at all.
We do not know that simply being severed from your body is simply experiencing no sensory input of any kind, and actually have a lot of reasons to expect that would not be the subjective experience for very long.
(Bizarrely, the dream pain has nothing to do with anything in real life that should have been pain. Apparently my subconscious is fine with dismemberment or stabbing or whatever, but what really bothers it is removing my orthodontic spacer from the roof of my mouth, which apparently it feels is me trying to remove the roof of my mouth. Subconsciouses are weird.)
Oh, good point about pain in dreams! I have also experienced this. I used to have a lot of lucid dreams, where I was often aware of being in a dream. I somehow hurt my left shoulder and was suddenly in excruciating pain. I woke up and my shoulder felt just the same as in the dream, very bad. I quickly examined myself for injury and finding nothing, the pain very quickly went away. I guess I cannot say for sure that it was not physical pain leaking into imagination land but that is certainly not how it felt.
Pain is registered by nerves connected to the brain, and given that phantom pain happens even when those nerves are truly gone, its definitely possible the pig brain could interpret it as pain. This is pretty new territory to make strong statements about
"If it seems strange that nerve signals coming from the back can represent vision, bear in mind that your own sense of vision is carried by nothing but millions of nerve signals that just happen to travel along different cables. Your brain is encased in absolute blackness in the vault of your skull. It doesn’t see anything. All it knows are these little signals and nothing else. And yet you perceive the world in shades of brightness and colors. Your brain is in the dark but your mind constructs the light." — David Eagleman in his book Incognito.
Without the nerves connecting your toe to your brain, you are unlikely to feel the otherwise agonizing pain of having had stubbed it against a coffee table.