Master Mu was lecturing upon Turing equivalence and mentioned the game of chess as an illustrating example. He pointed out that through an appropriate series of moves, a knight can reach any point that a rook can, and vice versa.

A monk said "So the two pieces are equivalent in what they can accomplish." Master Mu said "The false assumption behind your statement renders it both true and false."

Any sufficiently-powerful system

can emulate any other system.

Are they therefore the same?

The answer is more complex than yes or no.