What happens if you replace the statements of the Traditional Square of Opposition with "percentages of the subject term"? Do all the relationships from the Traditional Square of Opposition still apply?
A: 100% of x have y. -- ("All dogs have fur.")
E: 0% of x have y. -- ("Not some dogs have fur.")
I: >0% of x have y. -- ("Some dogs have fur.")
O: <100% of x have y. -- ("Not all dogs have fur.")