Question

F∃x Q(x) F Qla) This rules for quantifiers means:

A. that the variable x in the formula Q with a quantifier can be substituted with some specific'a 'to make Q a false logic sentence
B. that the formula Q is always false for x and a
C. that the formula Q has a quantifier and is not a sentence in logic
D. that the formula Q has a quantifier bounding variable x but a could be anything
E. that the variable x in the formula Q with a quantifier can be substituted with some specific a' to make Q a true logic sentence

Answer 1

The correct interpretation of the logical statement is that there exists some substitution of 'x' with 'a' that makes the formula Q false.

Step-by-step explanation:

The statement F∃x Q(x) F Qla suggests that there is some substitution of the variable 'x' with a specific constant 'a' in the formula Q that can make the statement Q(a) false. The correct interpretation of this logic notation is option (A), that the variable x in the formula Q with a quantifier can be substituted with some specific 'a' to make Q a false logic sentence. This is a reflection of understanding quantifiers, where the existential quantifier (∃) signifies that there exists at least one element in the domain such that the property Q(x) is false when x is replaced with 'a'.