Select the Best Translation into Predicate Logic, Using the Following $\lor$

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
-There are at most two Russian altruists.

A) (∀x) (∀y) (∀z) [Rx • Ax • Ry • Ay • Rz • Az) ⊃ (x=y • x=z • y=z) ]
B) (∀x) (∀y) (∀z) [(Rx $\lor$ Ax $\lor$ Ry $\lor$ Ay $\lor$ Rz $\lor$ Az) ⊃ (x=y $\lor$ x=z $\lor$ y=z) ]
C) (∀x) (∀y) (∀z) [(Rx • Ax • Ry • Ay • Rz • Az) ⊃ (x=y $\lor$ x=z $\lor$ y=z) ]
D) (∀x) (∀y) (∀z) [Rx $\lor$ Ax $\lor$ Ry $\lor$ Ay $\lor$ Rz $\lor$ Az) ≡ (x=y • x=z • y=z) ]
E) (∀x) (∀y) (∀z) [Rx • Ax • Ry • Ay • Rz • Az) ≡ (x=y • x=z • y=z) ]

Correct Answer:

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Access For Free