[mxkopy]

If the thoughts have any interaction at all between each other, we would be able to leverage that to understand those higher-level thoughts to the degree that they affect the ones on our level. As an analogy, we can project an N dimensional object onto N! planes and get a complete, but not intuitive, description of what it is.

Maybe they know the exact value of Chaitin's constant, but at least we know its properties.