To be pedantic a bachelor is a man that is not, and has never been, married. A man that is not married may be a bachelor, a divorcé, or a widower. But bachelor

To be pedantic a bachelor is a man that is not, and has never been, married. A man that is not married may be a bachelor, a divorcé, or a widower. But bachelor is still used colloquially (in the US) for all three (but not as often for a widower). Now if the age of the person is under a certain age, most people would not seriously call them a bachelor yet, but the cut-off age varies culturally. Now married is a bit complicated too.. married in the eyes of the law, formally or common-law, in a particular country, in the eyes of a particular church? Also, my aunt is a Bachelor of Arts, and her martial statues doesn't effect that. Language, life, and business logic is messy, confusing, and conditional/contextual to the point of absurdity. You will never realistically reduce it to pure mathematics in a way that makes it easier to deal with.