Consider the Following Domain, Assignment of Objects in the Domain

question 258

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

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