In a sentence like "Will you, Maria?" where there is cataphora, can you be both deictic and cataphoric? In general, can a term be both anaphoric and deictic?
Yes, depending on what it means for "a term to be both anaphoric and deictic".
You is both referring to a context-specific thing (deictic) and also refers to a term that appears later in the sentence (cataphoric).
It could reasonably be thought that
you carries a
[+deictic] property since any sentence with
you will necessarily reference something in the context. However,
you does not seem to carry a
[+cataphoric] property since
you can come in a sentence where there is no cataphora.
- You are smart.
In the above sentence, there is no cataphora since
you does not refer to any term/phrase that appears later in the sentence. Cataphora seems to be a relationship between terms in a sentence, and thus the term itself is not cataphoric.