We want to study music, so first we have to …

There is a presumption that if we want to study music seriously, then first we need to define the word, so that we know what it is that we are studying.

The problem is, there is no good definition of the word “music”.

That is, even though music is something that most of us experience in our daily lives (yes there are some exceptions – people who lack any interest in music), and therefore, from a personal point of view, we “know” what music is, there is no good definition of the word “music” that can be written down in a few words as a dictionary definition.

One would think that if everyone “knows” what music is, then surely we can find a satisfactory definition?

Unfortunately, that doesn’t follow.

The main reasons that we can’t define the word “music” are:

Do we actually need to define “music” ?

If we can’t define the word “music”, does that mean that we can’t seriously study music?

One reason for defining something that we want to study is so that we can know in advance what is the full set of things which are that something, knowing that we can separate them from all the other things that are not that something.

We want to know what is the full set of things that are “music”, so we can study all of those things, and not get distracted or confused by studying other things that are not music.

However, to study music, we don’t actually have to identify the full set of all things that are “music”.

It is quite sufficient to identify a set of things which are definitely music, that is, a subset of the set of all the things that are music.

In particular, we are free to choose a set of musical items which only contains those items that we ourselves find to be musical.

Having identified such a set of things that are music, any hypotheses we want to test, or experiments we want to carry out, or observations we want to make, can be applied against that set of things we have identified as definitely being “music”.

The only downside of this approach is that the exact set of musical items for one person may not be the same as the set of musical items for another person. Potentially this could make it difficult for researchers to share the results of their research into the nature of music.

However, most of the time, there will be quite a lot of overlap between what different people consider “music”, and this should be sufficient for the purpose of sharing research results.

(Indeed if there wasn’t quite a lot of inter-subjectivity in our perception of music and the musical quality of musical items, then even the informal definition of the word “music” would be uncertain, in the sense that we would not necessarily know what other people were talking about when using that word.)

Algorithmic complexity and available data

One theoretical way to characterise the problem of answering the question “What is music?” is that we want to find an algorithm which can predict, based on relevant inputs, how much a given person will like listening to a given candidate musical item, or whether they would consider such an item to be musical at all.

We want the algorithm to be as small as possible, and we definitely want it to be small relative to the size of the dataset that we are verifying it against.

Of course just finding such an algorithm doesn’t fully solve all the scientific questions – in particular just finding a musical evaluation algorithm doesn’t necessarily tell us anything at all about the biological function (if any) of music.

But it would still be significant progress in the search for a scientific theory of music.

The main point is that there is no need to have available all possible music in our dataset in order to do scientific research about music – it is quite sufficient to have all the music that one person has listened to and that they actually like.

And of course if that one person is yourself as the person doing the research, then this amounts to only doing your research on the music that you actually listen to because you like it.

The Final Conclusion

So the final conclusion is: