I reply to this argument as follows. I agree that science, especially physics, has historically made successive efforts to overcome various cognitive biases due to our subjective constitution (biological, cultural or individual). I also agree that to make progress in the future, we must expect physics to continue to make that effort. Many other scientists, especially physicists, and philosophers, would agree with this. I also believe that external reality is independent of us humans — in philosophy this idea is often called realism — and that this external reality hypothesis implies that reality must have a description which is utterly free of subjective ingredients. But I do not agree that this implies that the Universe is a mathematical structure.