Building off another question I answered here, I couldn't justify why exactly we say:
I like to ride bicycles.
I like to ride a bicycle.
(This could be anything: "climb mountains", "fly helicopters", etc.)
Both of these forms should refer to some generic, indeterminate bicycle object. But we can't ride more than one at a time, nor do we mean to say that we like to ride them one after the other, so how does the plural form work here?
Even though the second example looks like a valid construction, it just doesn't sound right. I suspect it's because the indefinite article "a" adds something when used in this sense, instead of just meaning to say "a bicycle" in the generic sense, it implies:
I like to ride a (particular kind of bicycle).
However, "I like to ride my bicycle" works. Is it because "my" makes it less generic, or just because it means "the one that is mine"? So why does the indeterminate "a" not work in the same construction?
(The only sense where "a" seems to fit is when using the conditional: I would like to ride a bicycle. But again, this has a slightly different meaning than I would like to ride bicycles, in the general sense.)
How should I understand what's happening in these constructions?