There is NOTHING supernatural or mystical to the concept of ideas or the interpretation thereof. I challenge you to provide an example.
I would formulate differently to avoid further complication and argueing over the terms "supernatural" and "mystical" (I probably have a different definition than you). So let's just postulate the following statement: "There is nothing to the world other than what (natural) science can say about it. I challenge you to provide an example showing the opposite."
With such a statement, you already provided the example yourself. That statement is clearly a statement not derived using the methods of natural science. You must have used a body of thought different to natural science to come to such a conclusion. Simply because, a true natural scientist is not allowed to deal with anything outside the scope, methods, and restrictions implied by natural science. Therfeore he cannot say anything about what is outside this scope, foremost whether or not there actually
is anything outside it at all. To be able to make the statement that there is nothing beyond the aspects of reality he is able to deal with, he already must have stepped outside the realm of science.
So by making such a statement, you in fact have become a philospher.