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.”
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.
Is this an original story? I may have to cite this one.
Um… well, I made it up.
The idea behind it is hardly original, of course.