Consider the Following Domain, Assignment of Objects in the Domain $\lor$

question 106

Multiple Choice

consider the following domain, assignment of objects in the domain, and assignments sets to predicates.
Domain = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune, Pluto}
P = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}
I = {Mercury, Venus}
O = {Mars, Jupiter, Saturn, Uranus, Neptune}
a = Mercury b = Jupiter c = Saturn
d = Pluto
-Given the customary truth tables, which of the following theories is modeled by the above interpretation?

• A) (∃x)(Px • Ix) • (∃x)(Px • ∼Ix) (∀x)[Px ⊃ (Ix • Ox)]
• B) (∃x)(Ox • Ix) • (∃x)(Px • ∼Ix) (∀x)[Px ⊃ (Ix \( \lor \) Ox)]
• C) (∃x)(Px • Ix) • (∃x)(Px • ∼Ix) (∀x)[(Ix \( \lor \) Ox) ⊃ Px]
• D) (∃x)(Px • Ix) • (∃x)(Ix • ∼Px) (∀x)[Ix ⊃ (Px \( \lor \) Ox)]
• E) (∃x)(Px • Ix) • (∃x)(Ox • ∼Px) (∀x)[Ox ⊃ (Ix \( \lor \) Px)]

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Definitions:

Buttermilk

A slightly sour liquid left after butter has been churned, used in baking or consumed as a drink.

Shelf

A flat, horizontal surface or board designed for the storage and display of items.

Presupposed Conditions

Implicit assumptions or prerequisites believed to be true, forming the basis upon which further ideas, policies, or actions are built.

Allocate Delivery

Allocate Delivery refers to the process of assigning specific goods or services to be delivered as part of the fulfillment of a contract or agreement.