Context:
I have been thinking about Qualia (in terms of "color") and the inverted color spectrum, and trying to figure out what mathematical functions are possible for shuffling the color spectrum. The key thing to realize here is that any random shuffling function for color spectrum wouldn't work. It should map each color uniquely to another color so that the quintessential qualia question still remains unanswered: "Is my Red your Red?"
So, e.g. if we invert the spectrum entirely for a person so that he starts seeing:
- Red for Violet
- Blue for Orange
- Green for Yellow
- and so on...
Then, this achieves a perfect "shuffling" and that person would never be able to know that his Red is different from the Red of everyone else.
So, now I ask the question: what other shuffling functions are possible apart from this the inversion function? At first, it seems like all isomorphisms should be good for our case (such that the person can never know that a shuffling happened). An isomorphism, in this context, refers to a one-to-one correspondence between the colors in the spectrum, meaning each color is uniquely mapped to another color
The Constraint of Color Mixing
However, colors have a color mixing property, which dictates how colors combine to produce new colors. For instance, mixing red and blue typically results in the perception of purple. This property could (possibly) impose constraints on how colors can be shuffled while still producing recognizable combinations.
Now, if color mixing is happening inside the phenomenal mind, that would impose a constraint on what functions would be possible (not all isomorphisms would satisfy the color mixing property). But if color mixing is happening in the noumenal mind/world (the objective reality independent of our perception), then there would be no such constraint on our shuffling functions (since they are phenomenal).
Question
So, my question is simply this: Where does the color mixing happen? Does it happen out there in the noumenal world/mind, or does it happen inside our phenomenal mind where our subjective experiences reside?