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

question 109

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
-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)]

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Definitions:

Color Code

A system of identification that uses different colors to represent specific information, often used in settings like hospitals to quickly convey medical alerts or in industries for safety.

ECG Tracings

Recordings of the electrical activity of the heart measured during an electrocardiogram (ECG) test.

Computerized Analysis

The use of computer technology to examine data or systems in detail in order to identify patterns, trends, or important information, often employed in research and business sectors.

Atrial Depolarization

The excitement and contraction caused by the SA node at the beginning of the cardiac cycle.