The mathematical intuition for why naming things is hard is definitely tied to information theory and semantics (linguistics). Names communicate bits of informa

The mathematical intuition for why naming things is hard is definitely tied to information theory and semantics (linguistics). Names communicate bits of information, and they describe a semantic concept. When a name isn't accurate, it's not communicating enough bits, OR the reader isn't familiar enough with what the bits mean - the semantics of the bits. If the name is too vague, you have to expand it to send more bits, which can be hard to perfectly capture. If the name is accurate but the reader doesn't understand (as often happens when say reading academic papers), then it's an education issue.