Attempt the following
State the truth value of `(p vv ~p)`

Answer

To determine the truth value of the expression \( p \lor \neg p \) (where \( \lor \) denotes disjunction and \( \neg \) denotes negation), we can construct a truth table. Here’s how to do it step by step:

### Step 1: Create the Truth Table

1. **List the possible truth values for \( p \)**:
- \( p \) can either be True (T) or False (F).

2. **Determine the values for \( \neg p \)**:
- If \( p \) is True, then \( \neg p \) is False.
- If \( p \) is False, then \( \neg p \) is True.

3. **Calculate \( p \lor \neg p \)**:
- The disjunction \( p \lor \neg p \) is True if at least one of \( p \) or \( \neg p \) is True.

### Truth Table:

| \( p \) | \( \neg p \) | \( p \lor \neg p \) |
|---------|--------------|----------------------|
| T | F | T |
| F | T | T |

### Step 2: Analyze the Results

From the truth table, we see that in both cases (when \( p \) is True and when \( p \) is False), the expression \( p \lor \neg p \) evaluates to True.

### Conclusion

Thus, the truth value of \( p \lor \neg p \) is **True (T)**.

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