"In predicate logic, propositions depend on variables x, y, z, so their truth value may change
depending on which values these variables assume: P(x), Q(x, y), R(x, y, z)"
QUANTIFIERS
∃ (existential quantifier)
∃xP(x) is true if P(x) is true for some value of x
∀ (universal quantifier)
∀xP(x) is true if P(x) is true for all allowable values of x
∃! (for one and only one)
∃!xP(x) is true if P(x) is true for exactly one value and false for all other values of x
ALTERNATION OF QUANTIFIERS
∀x∃y∀z P(x, y, z)
N.B.: the order CANNOT be changed as it might modify the truth value of the statement