>>11872545>How does Albert's first statement indicate anything at all and why?Albert says in his first statement that he knows that Bernard doesn't know the correct pad.
If the correct pad were A6, then Bernard (who knows the correct number) would know that the correct pad is A6, because that's the only pad on the 6 lane. But Albert knows that Bernard doesn't know the correct pad. That's only possible if Albert knows that the correct pad is not on the A lane. And not on the B lane either, for similar reasons.
If the pad is on the C lane though, Albert does know for sure that Bernard doesn't know the correct pad. For if the pad is on the C lane, then Albert knows that it's on the C lane; and therefore, Albert knows that the correct pad is either C1 or C3. If it's C1, then Bernard knows that it's on the 1 lane -- but that is not enough information for Bernard to pin down the correct pad, because as far as Bernard knows it could be D1 instead. Similarly, if it's C3, then for all Bernard knows the correct pad could be A3.
So if the correct pad is on the C lane, then Albert knows that Bernard doesn't know the correct pad. Same if it's on the D lane. But not if it's on the A or B lane.
Therefore, Albert's first statement basically means "the correct pad is on the C lane or the D lane".
