A mental process? Sort of. *cautious applause*. This AVMA isn't intentionally trying to be difficult or misleading. The questions are just hard to answer.

Logic? No.
Can you tell by looking? No, in almost all cases. Mainly this is because it is almost always made manifest through language, as I said before.
Some kind of physical movement? No.
Connected to the Earth as a whole? No. It is not so much that there are A/V/M connections as a whole; rather each specific example of this will have an animal or vegetable or mineral or abstract connection.

... such as - Curiousity?

Something we do every day? Good question, and I actually not really sure of the answer. My first instinct was no. Most of us certainly do not do it consciously every day. On reflection, though, I suspect that it is something we often do without being aware of it, so the answer might well be yes.
Abstract noun? Yes. *applause*
Curiosity? No.
Does it involve stories? Very often, yes (though it might be more accurate to say that stories can involve it). *some applause*
Susceptible to cause and effect? I'm not exactly sure what you mean, but I think that the only helpful answer is No.
Vowel at the head? Yes.

Sorry this is so tricky. I have scattered a few obscure clues in my answers of the last several days. If the next few questions take you no closer I'll try to think of a better clue.

(e.g. cynicism)

Explanation, Imagination, Attitude? No.

Trying to read something into the last (and earlier) answers

Type of speech act? No (at least, not as I understand the term). Nevertheless, I think your answers are getting warmer, even if they still need several sweaters.
Soulless wit? No. That was just me being long-winded.