existential import
Whether a statement commits you to its subject class having members.
A categorical statement has existential import if it can be true only when its subject class has at least one member. On the Boolean reading, I and O statements have existential import and A and E statements do not.
Examples
"Some dragons breathe fire" can only be true if there are dragons.
"All trespassers will be fined" can be true even if nobody trespasses.