roblem: Linda is 31 years old, single, outspoken, and very bright. She majored in philosophy in college. As a student, she was deeply concerned with issues of discrimination and social justice, and also participated in anti-nuclear demonstrations.
Consider the following possibilities:
- (A) Linda is a lawyer.
- (B) Linda is a feminist.
- (C) Linda ia a feminist lawyer.
We know that P r left parenthesis C right parenthesis less or equal than M i n left parenthesis P r left parenthesis A logical and B right parenthesis. What does that mean for this problem?
1.
It means that B must be no more probable than the less probable of A and C. This is due to the way that probability theory is based on statistical logic.
2.
It means that B is clearly the most probable based on reasonable statistical generalizations, and that C is more probable than B.
3.
It means that A must be no more probable than the less probable of B and C. This is due to the way that probability theory is based on propositional logic.
4.
It means that C must be no more probable than the less probable of A and B. This is due to the way that probability theory is based on propositional logic. But, obviously, there are more lawyers than feminists in the world, so that means C must be no more probable than B.
5.
It means that C must be no more probable than the more probable of A and B. This is due to the way that probability theory is based on propositional logic. But, obviously, there are more feminists than lawyers in the world, so that means C must be no more probable than A.
6.
It means that C must be no more probable than the more probable of A and B. This is due to the way that probability theory is based on propositional logic.
7.
It means that C must be no more probable than the less probable of A and B. This is due to the way that probability theory is based on propositional logic.