Mary's representation of reality is presumed complete ex hypothesi, therefore she will understand exactly what will happen in her brain after seeing color, and that is exactly what happens
Mary is presumed to have all objective knowedge and only objectve knowledge, Your phrasing is ambiguous and therefire doesnt address the point. When you say Mary will know what happens when she sees red, do you mean she knows how red looks subjectively, or she knows something objective like what her behaviour will be.....further on you mention predicting her reactions,
You wouldn't call a statement of PA that isn't a literally a Gödel encoding of a statement (for some fixed encoding) a non-mathematical statement. For one, because that statement has a Gödel encoding by necessity. But more importantly, even though the statement technically isn't literally a Gödel-encoding, it's still mathematical, regardless.
Is that supposed to relate to the objective/ subjective distinction somehow?
[Mary knows] how she will respond to learning what red is like. Mary knows how others will respond. This exhausts the space of possible predictions that could be made on behalf of this subjective knowledge, and it can be done without
So? The overall point is about physicalism, and to get to 'physicalism is false', all you need is the existence of subjective knowledge, not its usefulness in making prediction. So again I don't see the relevance
Suppose Mary has enough information to predict her own behavior. Suppose she predicts she will do x. Could she not, upon deducing that fact, decide to not do x?
Maybe. I don't see the problem. There is still an unproblematic sense in which Mary has all objective knowledge, even if it doesn't allow her to do certain things. If that was the point.
Mary is presumed to have all objective knowedge and only objectve knowledge, Your phrasing is ambiguous and therefire doesnt address the point.
The behavior of the neurons in her skull is an objective fact, and this is what I mean to referring to. Apologies for the ambiguity.
When you say Mary will know what happens when she sees red, do you mean she knows how red looks subjectively, or she knows something objective like what her behaviour will be
The latter. The former is purely experiential knowledge, and as I have repeatedly said is contained in a ...
In the Mary's room thought experiment, Mary is a brilliant scientist in a black-and-white room who has never seen any colour. She can investigate the outside world through a black-and-white television, and has piles of textbooks on physics, optics, the eye, and the brain (and everything else of relevance to her condition). Through this she knows everything intellectually there is to know about colours and how humans react to them, but she hasn't seen any colours at all.
After that, when she steps out of the room and sees red (or blue), does she learn anything? It seems that she does. Even if she doesn't technically learn something, she experiences things she hadn't ever before, and her brain certainly changes in new ways.
The argument was intended as a defence of qualia against certain forms of materialism. It's interesting, and I don't intent to solve it fully here. But just like I extended Searle's Chinese room argument from the perspective of an AI, it seems this argument can also be considered from an AI's perspective.
Consider a RL agent with a reward channel, but which currently receives nothing from that channel. The agent can know everything there is to know about itself and the world. It can know about all sorts of other RL agents, and their reward channels. It can observe them getting their own rewards. Maybe it could even interrupt or increase their rewards. But, all this knowledge will not get it any reward. As long as its own channel doesn't send it the signal, knowledge of other agents rewards - even of identical agents getting rewards - does not give this agent any reward. Ceci n'est pas une récompense.
This seems to mirror Mary's situation quite well - knowing everything about the world is no substitute from actually getting the reward/seeing red. Now, a RL's agent reward seems closer to pleasure than qualia - this would correspond to a Mary brought up in a puritanical, pleasure-hating environment.
Closer to the original experiment, we could imagine the AI is programmed to enter into certain specific subroutines, when presented with certain stimuli. The only way for the AI to start these subroutines, is if the stimuli is presented to them. Then, upon seeing red, the AI enters a completely new mental state, with new subroutines. The AI could know everything about its programming, and about the stimulus, and, intellectually, what would change about itself if it saw red. But until it did, it would not enter that mental state.
If we use ⬜ to (informally) denote "knowing all about", then ⬜(X→Y) does not imply Y. Here X and Y could be "seeing red" and "the mental experience of seeing red". I could have simplified that by saying that ⬜Y does not imply Y. Knowing about a mental state, even perfectly, does not put you in that mental state.
This closely resembles the original Mary's room experiment. And it seems that if anyone insists that certain features are necessary to the intuition behind Mary's room, then these features could be added to this model as well.
Mary's room is fascinating, but it doesn't seem to be talking about humans exclusively, or even about conscious entities.