Yup- the question is "can math be conscious?"
(If you've engaged w/ the literature here, it's quite hard to give a confident "yes". it's also quite hard to give a confident "no"! so then what the heck do we do)
Imho no, math itself have no conciousness. Quite confidently its a helpful tool that does not act by himself.
Not just any math: Matrix multiplication. Can matrix multiplication be conscious?
And, I don't see how it can be. It is deterministic, when all variables are controlled. You can repeat the output over and over, if you start it with the same seed, same prompt, and same hardware operating in a way that doesn't introduce randomness. At commercial scale, this is difficult, as the floating point math on GPUs/TPUs when running large batches is non-deterministic, as I understand it. But, in a controlled lab, you can make a model repeat itself identically. Unless the random number generator is "conscious", I don't see a place to fit consciousness into our understanding of LLMs.