I'd risk the optimistic expectation that human ingenuity can work with such a state of affairs. Here's one example I can think of: if an interesting measure in

I'd risk the optimistic expectation that human ingenuity can work with such a state of affairs. Here's one example I can think of: if an interesting measure in a phenomenon follows some equation, we could find some solutions to that equation through experimental approach treating the phenomenon as a program and Nature as the compute engine. Very often you can prove statements about relationships among solutions to an equation (e.g. they may form a linear or affine space). You could then use the original experimental solution to generate further solutions using numerically tractable transformations.