Construct a Complete Truth Table for Each of the Following

question 184

Multiple Choice

Construct a complete truth table for each of the following arguments. Then, using the truth table, determine whether the argument is valid or invalid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.)
-G ⊃ H
∼I ⊃ ∼G / G ⊃ (H • I)

• A) Valid
• B) Invalid. Counterexample when G, H, and I are true
• C) Invalid. Counterexample when H and G are true and I is false
• D) Invalid. Counterexample when I and G are true and H is false
• E) Invalid. Counterexample when H and I are true and G is false

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Definitions:

Government Intervention

Actions taken by a government to influence or regulate different aspects of its economy.

Coase Theorem

Suggests that if property rights are clearly defined and transaction costs are low, parties will negotiate to solve externalities on their own.

Externalities

Costs or benefits that affect a party who did not choose to incur that cost or benefit, often leading to market failures.

Private Sector

The part of the economy that is run by individuals and companies for profit and is not state controlled.