B A A B - Vidyadip

Question

$\sim B \rightarrow A$
$\therefore \sim A \rightarrow B$

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Answer

Truth Table:

					Support Statement		The resulting statement
	$1$	$2$	$3$	$4$	$5$	$6$
	$A$	$B$	$\sim A$	$\sim B$	$\sim B \rightarrow A$	$\sim A \rightarrow B$
$1$	$T$	$T$	$F$	$F$	$T^*$	$T^*$
$2$	$T$	$F$	$F$	$T$	$T^*$	$T^*$
$3$	$F$	$T$	$T$	$F$	$T^*$	$T^*$
$4$	$F$	$F$	$T$	$T$	$F$	$F$
			$1(\sim )$	$2(\sim )$	$4, 1 (\rightarrow)$	$3, 2 (\rightarrow)$

Judgment of the validity of the argument: The full six columns are presented in the above truth table. In which the column no. Base statement and column no. $6$ is the representation of the result statement. Row out of the total four rows of the truth table. The base statement in $1, 2$ and $3$ is the truth $‘T’$ and the result statement in the same row is also the truth $‘T’.$ Hence this argument is standard.

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