Very nice writing! It has a clear, structured Cartesian style and is easy to read. Great job.
I agree with your overall purpose, though I would apply some heavy corrections derived from my [matter-life-thought] metaphysical system.
Here is what I agree with 100%:
Thought, as exemplified by the truth of 2+2=4, has absolutely nothing to do with the Matter category. In humans, there is obviously neural activity when processing “2+2=4,” but it will never be the exact same neural activity between two individuals, nor even within the same individual at different times. You are entirely correct: there is zero strict equality between Matter and Thought. Furthermore, when a Large Language Model (LLM) processes “2+2=4,” it happens within a completely different “material” architecture that no one fully understands.
However, I will offer just one major correction (among many possible ones):
Assigning the act of “equalization” (or categorization of things) strictly to Thought is a category mistake. Animals have no access to the category of Thought, yet they perfectly differentiate, recognize, and equalize objects within their environment.
This specific error stems directly from the faulty [Nature-Human] bi-categorical framework of natural human thinking (which sadly includes classical Philosophy). There is simply no way to ever “solve” the Matter-Thought equation because the crucial middle term—the Life category—is missing. Thought articulates with Life, not directly with Matter.
Once you adopt a functional, multi-categorical [Matter-Life-Thought] framework, the entire mind-body problem clears up immediately, primarily through the introduction of a specific, multi-categorical concept of causality.