To change and to improve are two different things
The purity men love is like the mists which envelope the earth, and not like the azure ether beyond.
Henry David Thoreau
(July 12, 1817 - May 06, 1862)
Because such equivalence sets can contain other patterns – in turn containing further patterns, and so on – the resulting body of knowledge grows recursively, as a sort of forest of branching trees of possibilities.
The best doctor in the world is a veterinarian. He can't ask his patients what is the matter -- he's got to just know.