Multiple Choice
select the best translation into predicate logic, using the following translation key:
b: Bhavin
c: Chloe
m: Megha
n: Nietzsche
p: Plato
Ax: x is an altruist
Jx: x is joyful
Px: x is a philosopher
Rx: x is Russian
Tx: x is thoughtful
Bxy: x is a brother of y
Mxy: x mocks y
Rxy: x is richer than y
Sxy: x is smarter than y
-Everything is joyful, except Megha and Bhavin.
A) ~Jb • ~Jm • (∀x) (x≠m • x≠b • Jx)
B) (∀x) [Jx ≡ (x≠m x≠b) ]
C) (∀x) (Jx x=m x=b)
D) ~Jb • ~Jm • (∀x) [Jx ⊃ (x≠b • x≠m) ]
E) ∼Jm • ∼Jb • (∀x) [(x≠m • x≠b) ⊃ Jx]
Correct Answer:

Verified
Correct Answer:
Verified
Q17: select the best translation into predicate
Q18: 1. (∀x)(∀y)[(Px • Py) ⊃ Pf(x,y)]<br>2. (∃x)[Px
Q19: All philosophers respect each other. Some
Q20: select the best translation into predicate logic,
Q21: (∃x)[Px • (∃y)(Qy • y=x)] ⊃
Q23: 1. (?x)(?y){Pf(x,y) ? [Pf(x,x) • Pf(y,y)]}<br>2. a=f(d,b)<br>3.
Q24: 1. (∀x)[Ex ⊃ (∀y)(Fy • Gxy)]<br>2. (∃x)(Ex
Q25: (∃x)[Px • (∃y)(Qy • y=x)] ⊃ (∃x)(Px
Q26: 1. (∃x)(∃y){Gx • Gy • x≠y
Q27: Translate each sentence into predicate logic, using