Determine Whether the Given Formula Is a Logical Truth of M

question 228

Essay

determine whether the given formula is a logical truth of M or not. If it is a logical truth, provide a proof of the formula. If it is not a logical truth, provide a counterexample in a finite domain.
-[(∃x)Ex • (∃x)∼Ex] ⊃ (∀x)(Ex $\lor$ ∼Ex)

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Definitions:

Susceptible Host

An individual or organism lacking resistance to a disease or infection, making them more likely to become infected.

Intravenous Antibiotic

Antibiotic medication administered directly into the bloodstream through an IV to treat infections.

Severe Diarrhea

An intense or acute condition characterized by the frequent passage of loose, water stools that can lead to dehydration.

Contact Precautions

Measures taken in healthcare settings to prevent the spread of infections through direct or indirect contact with patients or their environment.