Searle's Chinese Room thought experiment argues with great precision why (solely) symbol-manipulating systems don't (and will never) think. The process of cognition is deeply internal and most likely involves self-reflection, internal states, and a sense of "I-ness" which seems to be unique to mental things (unlike Searle, I'm a substance dualist so I'm admittedly a bit biased). Ergo, I'd say, at the very least, an intelligent & thinking process would need to (also) operate on non-symbolic things (which rules out computational systems), maybe on qualia, but there's probably other primitives as well.