Select the Best Translation into Predicate Logic, Using the Following

question 255

Multiple Choice

select the best translation into predicate logic, using the following translation key:
Cx: x is a cheetah
Lx: x is a lion
Tx: x is a tiger
Fxy: x is faster than y
Lxy: x is larger than y
-Any lion larger than all cheetahs is not faster than any tiger.

• A) (∀x){[Lx ⊃ (∀y)(Lxy ⊃ Cx)] ⊃ ~(∃y)(Ty • Fxy)}
• B) (∀x){Tx ⊃ ~(∃y)[(Ly • Lxy) • (∀z)(Cz ⊃ Fxz)]}
• C) (∀x){[Lx • (∀y)(Cx ⊃ Lxy)] ⊃ ∼(∃y)(Ty • Fxy)}
• D) (∀x){[Lx ⊃ (∀y)(Cy ⊃ Lxy)] ⊃ (∀y)(Ty ⊃ ~Fxy)}
• E) (∀x){[Lx • (∀y)(Cx • Lyx)] ⊃ ~(∃y)(Ty ⊃ ~Fxy)}

---

Definitions:

Oligopolization

The process by which a market or industry comes to be dominated by a small number of firms, leading to reduced competition.

Herfindahl-Hirschman Index

A benchmark for gauging how concentrated a market is to identify the level of competitive forces within a sector.

Automobile Industry

The automobile industry encompasses a wide range of companies and organizations involved in the design, manufacturing, and marketing of motor vehicles, including cars, trucks, and motorcycles.

Cigarette Industry

Refers to the global sector involved in the manufacturing, marketing, and sale of cigarettes and related products.