Eg., do you have capacity to reason about physics? Well if you're extremely drunk, less so. But not if I permute the name of the object.
> I've found more often than not, simply changing names of variables
Yes, lol --- why do you think that is?
Because in the digitised dataset of "everything ever written" those names correspond to places in that dataset that can be sampled from by the LLM. Showing Hyp1 to be the case.
P(Hyp1| ChangeNameMakesDifference) >>>>>> P(Hyp2|ChangeNameMakesDifference)
To such a degree that the latter is vanishingly close to zero.