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

question 238

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

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Definitions:

Availability Heuristic

A mental shortcut that relies on immediate examples that come to a person's mind when evaluating a specific topic, concept, method, or decision.

Relevant Instances

Specific examples or cases that are directly connected to the subject matter being discussed or analyzed.

Probability

The likelihood or chance of an event occurring.

Representativeness Heuristic

A cognitive shortcut that involves making judgments about the probability of an event under uncertainty, based on how much it resembles the typical case.