"I play the piano"
And then there are those cases where you actually use neither!
"I play the piano"
And then there are those cases where you actually use neither!
> What do you play (in the orchestra)?
> I play the piano (in the orchestra).
Using 'the' here feels quite formal, as if you belong to something, or it's a career choice.
> Play any instruments?
> ah, I play guitar (casually)
> Yes, I play the guitar (for a band, or at least I larp as doing so)
When it comes to 'a/an', we should assume that there's an element of randomness, or irrelevance as to which one precisely.
> What you doing tonight? Playing guitar
> What you doing tonight? Playing a guitar
> What you doing tonight? Playing the guitar.
The second option doesn't sound natural interestingly, as 'tonight' in the question implies there's a plan. Playing 'an' instrument, therefore, comes off as more spontaneous; playing 'any' instrument which just happens to be there.
In the sentence "There is a piano in the lobby" you are saying "There are many objects in the lobby. Among them is a piano, one of many in the world".
When "you can play the piano", you can play any piano. When "there is a piano in the lobby", it's distinctively a very specific one.
So I would go on a limb and claim: whether you use the or a is also philosophical in nature :)