1. ~(RvR)
2. I> (R*R)
~I
To find the truth value of the given statements, we will examine each statement individually:
1. ~(RvR)
- First, let's break down the statement: ~(RvR) means "not (R or R)".
- Since RvR is always true due to the principle of the excluded middle, ~(RvR) will always be false.
- Therefore, the truth value of ~(RvR) is false.
2. I > (R*R)
- This statement says "If I is true, then R and R are true."
- If we assume I is true, then the condition of the implication is satisfied.
- For an implication statement to be false, the condition must be true and the consequence must be false.
- However, without any information about the truth values of I, R, or R, we cannot definitively determine the truth value of the entire statement.
3. ~I
- This statement means "not I" and we do not have additional information about the truth value of I.
- Therefore, we cannot determine the truth value of ~I without more context.
Summary:
1. ~(RvR) is always false.
2. Without more information about the truth values of I, R, and R, we cannot determine the truth value of I > (R*R).
3. Without more information about the truth value of I, we cannot determine the truth value of ~I.