In the fable, a stated invariant is that any mouse that comes in contact with the cat for 0.5sec gets eaten; thus there exists no mouse capable of belling the cat.
There are approaches that don’t violate this invariant:
Construct a trap that puts the bell on the cat without a mouse present.
Convince the cat’s humans to bell the cat; for instance by showing them propaganda about how belling the cat will save the singing dinosaurs.
There are also approaches that do, such as the old mouse’s idea of sneaking up on a sleeping cat; or the Rats of NIMH method of putting drugs in the cat’s food — because the stated invariant is not a conservation law, it’s just a summary of costly observations.
In the fable, a stated invariant is that any mouse that comes in contact with the cat for 0.5sec gets eaten; thus there exists no mouse capable of belling the cat.
There are approaches that don’t violate this invariant:
Construct a trap that puts the bell on the cat without a mouse present.
Convince the cat’s humans to bell the cat; for instance by showing them propaganda about how belling the cat will save the singing dinosaurs.
There are also approaches that do, such as the old mouse’s idea of sneaking up on a sleeping cat; or the Rats of NIMH method of putting drugs in the cat’s food — because the stated invariant is not a conservation law, it’s just a summary of costly observations.