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

question 84

Multiple Choice

consider the following domain, assignment of objects in the domain, and assignments sets to predicates.
Domain = {1, 2, 3, ..., 28, 29, 30}
N = {1, 2, 3, ..., 28, 29, 30}
E = {2, 4, 6, ..., 28, 30}
O = {1, 3, 5, ..., 27, 29}
P = (2, 3, 5, 7, 11, 13, 17, 19, 23, 29}
a = 1
b = 2
c = 28
-Given the customary truth tables, which of the following theories is modeled by the above interpretation?

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

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