Is music science? Why (not)?
I should probably answer the question about the art and science only for myself: as I worked as a mathematician, I tried to find mistakes in my thinking and as the final step a proof that these counterexamples can’t exist. As a composer and an artist, I try to find weaknesses in how I think or feel and develop them, happy that this might help me further in the future.
Where are the limits of notation?
In most cases it is not the technical skills or imagination of the artists that limits the notation, it is understanding why it is used. The notation is communication (from person to person, from one temporal level to another) and most of the communication happens in ways we aren’t really aware of. Experimenting with other kinds of notation makes us more aware of these limitations.