Yeah, the context of the quote is that he's making the argument that more exact measurements are enabling us to measure deviations between physical theory and r

Yeah, the context of the quote is that he's making the argument that more exact measurements are enabling us to measure deviations between physical theory and reality, and that these deviations are where new science lies. In other words, having already determined in broad strokes how the mechanics of the world work(conservation of mass, conservation of energy, thermodynamics, etc.) it now falls to us to make increasingly precise measurements of physical systems. Assuming that these laws always apply, we then need to figure out why our precise measurements do not match up with the predictions of our science. He's not talking about the end of science at all, and it's pretty uncharitable to think Michelson would ever say such a thing.