This is what people here do not understand: This function is "natural" because it's a continuous function over R, which is not defined by explicitly referencing

This is what people here do not understand: This function is "natural" because it's a continuous function over R, which is not defined by explicitly referencing computability. Certainly you can come up with less interesting examples which are discontinuous, or which reference computability, but people in the area wouldn't be surprised or care.