Critical Thinking Exercise

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Critical Thinking

Exercise #4

1. P v S
P → R VALID
S → R
R

|P |S |R |P v S |P → R |S →R | | |T |T |T |T |T |F | | |T |T |F |F |T |F | | |T |F |T |T |F |T | | |T |F |F |T |F |T | | |F |T |T |T |T |F | | |F |T |F |T |T |F | | |F |F |T |T |T |F | | |F |F |F |T |T |F | | | | | | | | | |

2. L → (J v R)
~ R → J VALID ~ J → R

|L |J |R |→(JvR) |~R→J |~J→R | | |T |T |T |T |F |F | | |T |T |F |F |T |T | | |T |F |T |F |T |T | | |T |F |F |F |T |T | | |F |T |T |T |F |F | | |F |T |F |F |T |T | | |F |F |T |F |T |T | | |F |F |F |F |T |T | | | | | | | | | |

3. P → S
~ S → ~ Q NOT VALID ~ (Q & P)
~Q → P

|P |S |Q |P→S |~S→ ~Q |~(Q & P) |~Q→P | | |T |T |T |T |F |F |F | | |T |T |F |T |T |T |T | | |T |F |T |F |T |F |F | | |T |F |F |F |T |T |T | | |F |T |T |F |T |T |T | | |F |T |F |F |F |T |T | |

4. A & (B→C) VALID
B v ~(A→C)
~A → ~(B →C)

|A |B |C |~A |A & (B→C) |B v ~(A→C) |~A → ~(B →C) | | |T |T |T |T |F |T |T |...
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