Question
Construct the truth table of ‘$\sim$’.
| Component statement and its veracity | Joint statement and its veracity |
| P | $\sim$ P |
| T | F |
| F | T |
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| (1) (P & Q) $\rightarrow$ [P $\rightarrow$ (A & B)] | P |
| (2)(P & Q) & R | P/$\therefore$ A v B |
| (3)P & Q | ................ |
| (4) P $\rightarrow$ (A & B) | ................ |
| (5) P | ................ |
| (6)A & B | ................ |
| (7) A | ................ |
| (8)A v B | ................ |
| (1)(R v S) v ~ T | P |
| (2)P $\rightarrow$ [(R v S) $\rightarrow$ Z] | P |
| (3)W $\rightarrow$ (~ T $\rightarrow$ M) | P |
| (4) P & W | P/$\therefore$ (Z v M) v R |
| (5) P | ................ |
| (6)( R v S) $\rightarrow$ Z | ................ |
| (7) W | ................ |
| (8) ~ T $\rightarrow$ M | ................ |
| (9) Z v M | ................ |
| (10) (Z v M) v R | ................ |