They organise tokens into groups based on statistical probability, and convert those tokens into words and sentences.

Yeah, that's the way your brain works when you're not paying attention. That's why your dreams are like that. It's just a bunch of vaguely probable stuff based on your daily experiences.

humans can not summarise or read or understand a probability matrix with many billions of parameters.

Uhhhhh, yeah they can. The human brain has 86 billion neurons. If you put all 86 billion of those neurons and their connections into a matrix, you get a mathematical representation of the human brain's information processing. You're running the calculations on all 86 billion neuron matrix every second, manually, one neuron at a time.

Like, I'm guessing you're not really a math person, so let Me explain in simple terms: multiplication is just a shorter way to do addition, right? 6 * 5 is just 6+6+6+6+6, collapsed down. So if you have a 10 year old kid who can count out all the numbers one by one, and a computer that knows some computational tricks to figure out 6 * 5, that's the same, right?

So your neurons in your brain are biological computers, and that makes them really energy efficient. Electronic computers kinda suck at that efficient stuff. So where your neurons can manually calculate 86 billion parameters many times a second, a computer has to use shortcuts. And vector cross-multiplication is just a more efficient way for a computer to calculate neuron firings. The abstract mathematical operations are the same in principle.

Now there are a lot of differences between your brain and an LLM, and I'll be happy to explain them. But matrix multiplication is not one of them. That's stinky nonsense.