select the best English interpretation of the given statements of predicate logic, using the following translation key:
t: two
Ox: x is odd
Ex: x is even
Nx: x is a number
Gxy: x is greater than y
-∼(∃x)(Nx • Gxx)
A) Some numbers are not greater than themselves.
B) Some numbers are not greater than any other number.
C) No number is greater than itself.
D) No number is greater than any other number.
E) Some number is no greater than itself.

Question

select the best English interpretation of the given statements of predicate logic, using the following translation key:
t: two
Ox: x is odd 
Ex: x is even
Nx: x is a number 
Gxy: x is greater than y
-∼(∃x)(Nx • Gxx)
A) Some numbers are not greater than themselves.
B) Some numbers are not greater than any other number.
C) No number is greater than itself.
D) No number is greater than any other number.
E) Some number is no greater than itself.

Quizplus · Accepted Answer

The statement can be rewritten as "For all x, if x is a number, then x is not greater than itself." This is the definition of reflexivity in mathematics, which states that every object is equal to itself. Therefore, the correct interpretation is that no number is greater than itself.

Select the Best English Interpretation of the Given Statements of Predicate