(P q) v (p & q) - Vidyadip

Question

$(P \rightarrow q)\ v\ (p\ \&\ q)$

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Answer

Truth table:

	$1$	$2$	$3$	$4$	$5$	$6$
	$p$	$q$	$\sim q$	$p \rightarrow q$	$p\ \&\ \sim q$	$(P \rightarrow q)\ v\ (p\ \&\ \sim\ q)$
$1$	$T$	$T$	$F$	$T$	$F$	$T$
$2$	$T$	$F$	$T$	$F$	$T$	$T$
$3$	$F$	$T$	$F$	$T$	$F$	$T$
$4$	$F$	$F$	$T$	$T$	$F$	$T$
			$2(\sim )$	$1, 2 ( \rightarrow )$	$1, 3 (\&)$	$4, 5 (v)$

Decision of the type of form for the statement: Looking at the fact sheet above, it will be seen that the representation of the given form for the statement is in column no. Done in $6.$ All rows in this column have $T$ in them. This means that all substitutions for this form of statement are true. So it is clear that this form of statement is 'tadevarthaka'.

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