In a Small, Isolated Town in a Western State, There

question 224

Multiple Choice

In a small, isolated town in a western state, there are only four dentists. In such a case, we can be confident that

• A) there are high profits in the dental business in this town.
• B) there are no profits in the dental business in this town.
• C) the possibility of new dentists coming to town will limit the profits of the existing dentists.
• D) collusion cannot occur among the four dentists.

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Definitions:

Quantifier Negation

The act of negating the quantifier in a logical statement, which changes the scope or range of the statement.

Universal Generalization

A conclusion drawn about all things in a certain category, based on observations or evidence from some members of that category.

Existential Instantiation

A logical rule inferring the existence of at least one instance of a predicate; used in proofs to show something exists.

Universal Instantiation

A principle in logic that allows for the deducing of a statement about a specific instance from a general statement that applies to all instances.