Often, the context and structure of an ambiguous statement is difficult to discern.

Ambiguous means open to more than one interpretation or unclear in meaning. Cryptic means having a meaning that is mysterious or obscure, which closely aligns with ambiguous. Absolutistic relates to absolutism; explicit means clearly stated (opposite of ambiguous); solipsistic relates to the philosophical view that only one's own mind is sure to exist. Therefore, cryptic is the best synonym for ambiguous.