The missing knowledge in Marry's room
Here I will first compare Marry to a computer and the color of red to a program source code, then apply the idea of computational irreducibility to make an argument.
Main question: What is the missing knowledge of Marry if she has complete knowledge of the color red and also herself?
Short answer: The missing knowledge is the computationally irreducible execution of the program red on the system of Marry. Any execution of the program on the original Marry or any simulated Marry inevitably causes an experience of the color for the real or simulated model Marry. Without any version of Marry necessarily experiencing it, the knowledge is inaccessible, therefore the information of the execution itself, her neural response, her physical response, and so on is the missing and irreducible/unpredictable knowledge. Marry has access to all knowledge she wants but to gain complete knowledge of the experience some version of Marry must experience it. The argument is that it's not possible for Marry to have access to all knowledge because the knowledge of the execution and experience is computationally irreducible and gated by the necessary experience of Marry herself. There is a fallacy here in assuming complete knowledge of all aspects of red.
The difference between knowing everything about the color red and experiencing it is equal to the difference between the knowledge of the source code of a program and its execution on a computer.
There is new information created in the execution/experience of the color/program on the computer/body. The impact of the code on her body, her hormones, her neurons, and so on just like a program in execution creates new information like how it changes the memory, the processing of it in the CPU and GPU so on.
The argument of new information being generated becomes questionable if Marry also has complete information about her body, like knowing everything about the computer which will deterministically run the program.
Then the new information Marry can gain is equal to the information she can't predict without running the experience.
So the question is whether there can be information she can't predict if she has complete knowledge about the program and the computer running it.
The answer is yes in the context of computation irreducibility.
This means that there is no other way to predict what the impact of red will have on Marry without actually running the program, at which point she inevitable experiences it.
So Marry has in this case no way to know what the experience of red is without experiencing it.
Therefore, even if Marry has complete knowledge about the color of red and her own physiology, she gains previously inaccessible computational irreducible knowledge by running/experiencing the color red.
Sources:
Computation irreducibility: https://www.wolframscience.com/nks/p737--computational-irreducibility/
https://mathworld.wolfram.com/ComputationalIrreducibility.html
Mary's room: https://en.wikipedia.org/wiki/Knowledge_argument
Philip Goff - Mind Chat Podcast: youtube
Comments pointing out important aspects:
Question: She can observe the outcome of the simulation of her body and of the irreducible computer program. In the case of her body, she has no more knowledge about red. In the case of the computer, she has full knowledge of the outcome. The point I would focus on is that simulation of a material cause is not the same as the material cause. Aristotle has this figured out with the distinction between efficient causes and material causes. Simulation maps material causes to efficient causes i.e. this mapping means they are not equal.
Answer: In that case, the simulated Marry experiences it and not the original Marry. So there is still a version of Marry that has to experience it, without her the original Marry would not have access to the irreducible computer program result.
The point is that without any version of Marry experiencing it, it's not possible to gain access to the computationally irreducible information and the irreducibility of the program execution holds.
So the knowledge Marry gains when she first experiences red is exactly the irreducible execution on her own hardware. Whether the original Marry can observe the results or not doesn't change the fact that some version of Marry had to necessarily experience it to access that knowledge, simulated or not.
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