Moral virtues and intellectual virtues are very different from each other, and moral virtue has to do with motivation, not cognition. Moral virtue requires a human level of intelligence, but it doesn't require that one be an intelligent human.

I think that if your tenure case depends on your proving what you thought was a mathematical theorem and the proposed theorem turns out to be false just before your tenure decision, and you want to get tenure very badly, there is a sense in which it's perfectly understandable and reasonable of you to wish the proposed theorem were true and provable, even if it's logically impossible for it to be.

Incompatibilists will tell you that a work of art has no meaning unless the artists could have chosen to create a different one, but actual artists often say things like "the book chose me" - that is, the work had to be. Some philosophers would call it "volitional necessity", and a similar case that's discussed is the case of Luther saying "here I stand, I can do no other".

Virtue is about wanting right and good things, not about being particularly good at thinking.

Though we think intrinsic desires tend to be pretty stable, we do not think they imply anything like the amount of predictability in behavior that traditional virtue ethics requires for someone to have a one-word-in-English character trait such as "benevolence". Other things being equal, a person with more of a desire for other people's wellbeing will do more for other people's wellbeing, but things are almost never equal.

Duties concern things that are voluntary. I do think that if you have a moral duty to bring me back the book you borrowed, that implies, roughly, that your doing so depends on your wanting to do so: if you want to bring me the book, you will. This is not the case if you are stuck at some airport due to a snowstorm, far away from me. This, however, is not the same as "ought" implying a metaphysical "can".

A person is praiseworthy for a right action to the extent that her action manifests, and is rationalized by, good will, that is, concern for the right and the good, not necessarily under the description "right" or "good". A person is blameworthy for a wrong action to the extent that her action manifests, and is rationalized by, ill will - concern for the wrong and bad, also de re - or moral indifference - lack or deficiency of good will.