Introductory Logic Quiz #9 November 21, 2005 Name______________________ R. Hammack Score _________

DIRECTIONS. Translate the following statements into symbolic form. Please indicate what your symbols stand for.

 (1) Dinner was good, but it wasn't cheap.

 Gd • ~Cd (G ="is good," C = "is cheap," d = "dinner")

 (2) Some negative campaign strategies are not effective.

 (∃ x)(Nx • ~Ex) (N ="is negative campaign strategy," E = "is effective")

 (3) Europe needs a new identity.

 Ne (N ="needs new identity," e = "europe")

 (4) If some people cheat their insurance companies, then all policy holders suffer.

 (∃ x)(Px • Cx)   ⊃   (x)(Hx ⊃ Sx) (P ="is person," C = "cheats their insurance company", H ="is policy holder" S = "suffers")

 (5) No sport utility vehicle gets good gas milage unless it's rolling downhill in neutral.

 (x)(Sx ⊃ (~Rx ⊃ ~Mx))        or           (x)(Sx ⊃ (Mx ⊃ Rx))        or           (x)((Sx • Mx) ⊃ Rx) (S ="is SUV," R = "is rolling downhill in neutral", M ="gets good gas milage")