Earlier quoted context omitted.
Seems you’re not well versed in basic English. If I can reason it doesn’t mean I’m always reasoning or constantly reasoning or if I know how to do reasoning for every prompt. It just means it’s possible. How narrow or how wide that possibility is, is orthogonal to the claim itself. Please employ logic here. Ok math guy. Imagine I said numbers can be divided. The claim is true even though there is a number that can’t…
If it's only reasoning randomly how do you know when anything has been reasoned properly vs just a generated simulation of reasonable text?
Of course make sure the prompt is unique such that it's not in the data and it's not doing any sort of "pattern matching".
So like all science we prove it via probability. Observations match with theory to a statistical degree.