For the following statement, identify the component statements and the connective(s).Then put the statement in symbolic form using the letters indicated in parentheses, and construct a truth table for it.(Assume the semicolon is the location of the main connective.)
If thine enemy hunger, feed him; if he thirst, give him drink.(H, F, T, D)

Question

jiamingdong zhang · Accepted Answer

Final Answer :

The main connective is •, and there are two instances of the connective =.The component statements are:
H= Thine enemy hunger.F = Feed thine enemy.T = Thine enemy thirst.D =Give thine enemy drink.
The statement in symbolic form, with its truth table:

(H⊃F)⋅(T⊃D)TTTTTTTTTTFTFFTTTTFTTTTTTFTFTFFFTTTTFFFTFFTFFFFTTTFFFFTFFTTTTTTFTTFTFFFTTTFTTFTTTFTFFTFTTTTFTFFTFFFTFTFTTFTFTFTF\begin{array}{c|c|c|c|c|c|c}(\mathrm{H} & \supset & \mathrm{F}) & \cdot & (\mathrm{T} & \supset & \mathrm{D}) \\\hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathbf{T} & \mathrm{T} & \mathrm{T} & \mathrm{T} \\\mathrm{T} & \mathrm{T} & \mathrm{T} & \mathbf{F} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\\mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{T} \\\mathrm{T} & \mathrm{T} & \mathrm{T} & \mathbf{T} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\\mathrm{T} & \mathrm{F} & \mathrm{F} & \mathbf{F} & \mathrm{T} & \mathrm{T} & \mathrm{T} \\\mathrm{T} & \mathrm{F} & \mathrm{F} & \mathbf{F} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\\mathrm{T} & \mathrm{F} & \mathrm{F} & \mathbf{F} & \mathrm{F} & \mathrm{T} & \mathrm{T} \\\mathrm{T} & \mathrm{F} & \mathrm{F} & \mathbf{F} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\\mathrm{F} & \mathrm{T} & \mathrm{T} & \mathbf{T} & \mathrm{T} & \mathrm{T} & \mathrm{T} \\\mathrm{F} & \mathrm{T} & \mathrm{T} & \mathbf{F} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\\mathrm{F} & \mathrm{T} & \mathrm{T} & \mathbf{T} & \mathrm{F} & \mathrm{T} & \mathrm{T} \\\mathrm{F} & \mathrm{T} & \mathrm{T} & \mathbf{T} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\\mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{T} \\\mathrm{F} & \mathrm{T} & \mathrm{F} & \mathbf{F} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\\mathrm{F} & \mathrm{T} & \mathrm{F} & \mathbf{T} & \mathrm{F} & \mathrm{T} & \mathrm{T} \\\mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{F}\end{array}

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