Tautology Contingency
1. **Stating the problem:** Determine whether the logical statement $$(P \to Q) \lor (P \to Q)$$ is a tautology, contingency, or contradiction.
2. **Recall definitions:**
- A **tautology** is a statement that is always true regardless of the truth values of its components.
- A **contradiction** (absurdity) is always false.
- A **contingency** is sometimes true and sometimes false.
3. **Analyze the statement:** The statement is $$(P \to Q) \lor (P \to Q)$$ which simplifies to $$(P \to Q)$$ because the disjunction of a statement with itself is just the statement.
4. **Recall implication truth table:**
$$P \to Q$$ is false only when $P$ is true and $Q$ is false; otherwise, it is true.
5. **Conclusion:** Since $$(P \to Q)$$ is not always true nor always false, it is a **contingency**.
**Final answer:** The statement $$(P \to Q) \lor (P \to Q)$$ is a **contingency**.