If you are disposed to do something, you are willing or eager to do it. I might have been disposed to like him in other circumstances = inclined
You can use disposed when you are talking about someone's general attitude or opinion. For example, if you are well or favourably disposed to someone or something, you like them or approve of them. I saw that the publishers were well disposed towards my book
(usually followed by `to') naturally disposed toward; "he is apt to ignore matters he considers unimportant"; "I am not minded to answer any questions"