I agree with you on the distinction between beliefs and facts. I’ve provided a reason for why I don’t think your definition is not factually true (it does not effectively include/exclude along what it is attempting to define), and I’d like to hear your response to my objection. BUT, you’re also more than welcome to attack the definition that I provided, if you don’t believe that it is factually true.
A good definition should include all things that it is trying to define and exclude everything else. If I define swans as “white waterfowl”, but then I realize white egrets and black swans also exist, then my definition for what a swan is isn’t good. In your original comment, you defined a woman as “a person who has (xx) chromosomes”. However, in the last sentence of your original comment, you say “in extremely rare cases you can be born with both and then chose to live which one you want”,
Your definition of woman needs to be applicable to everyone. Terms like this are prescriptive not descriptive. You can’t pretend people just don’t exist when it isn’t convenient. If someone is born with XX chromosomes but exhibits male genitalia, grows facial hair, and has higher levels of testosterone, are they a man or woman?