Solutions Quantifiers2 2

Ramon signs every sculpture he makes.

Universal Quantifier

∀x (SCULPTURE (x) & MAKE (r, x) → SIGN (r, x))

"For every thing x, if x is a sculpture and x is made by Ramon (r) then x is signed by Ramon (r)."

Since Ramon makes and signs the sculptures, the corresponding variables are (r, x).

Restricted Quantifier

[Every x: SCULPTURE (x) & MAKE (r, x)] SIGN (r, x)

Here, the N' is "sculpture he makes" and therefore belongs in square brackets together with the Quantifier every.

Return to Excercise