P v Q P & Q - Vidyadip

Question

$P\ v\ Q$
$\therefore \sim P\ \&\ \sim Q$

✓

Answer

Truth Table:

					Support Statement		The resulting statement
	$1$	$2$	$3$	$4$	$5$	$6$
	$P$	$Q$	$\sim P$	$\sim Q$	$P\ v\ Q$	$\sim P\ \&\ \sim Q$
$1$	$T$	$T$	$F$	$F$	$T^*$	$F^*$
$2$	$T$	$F$	$F$	$T$	$T^*$	$F^*$
$3$	$F$	$T$	$T$	$F$	$T^*$	$F^*$
$4$	$F$	$F$	$T$	$T$	$F$	$T$
			$1 (\sim )$	$2 (\sim )$	$1, 2 (v)$	$3, 4(\&)$

Judgment of the validity of the argument: A total of six columns have been formed in the above fact sheet. In which the column no. Base statement and column no. $6$ is the representation of the result statement. Out of the total four rows of the truth table, the base truth in rows $N, 1, 2$ and $3$ is $‘T’.$ But all the results in the same row are false $'F'.$ Hence this argument is disproportionate.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "question To The Point .Marks)" from The form of the argument and the validity of the argument→The form of the argument and the validity of the argument — all question types→Philosophy STD 12 Arts question papers→Gujarat Board STD 12 Arts question papers→Gujarat Board question paper generator→

Similar questions

Prove that the following arguments are standard by constructing metaphorical proof

$(W\ O\ \rightarrow\ T)\ \&\ (F\ \rightarrow\ Y)$

$B\ \&\ (P\ \rightarrow\ W)$

$(E\ \rightarrow\ F)\ \&\ (H\ v\ I)$

$\therefore\ B\ \&\ (T\ v\ Y)$

(p $\rightarrow$ q) $\leftrightarrow$ (~ p $\rightarrow$ ~ q)

Prove that the following arguments are standard by constructing metaphorical proof

$\sim S\ (T \ \&\ W)$

$(P \ \&\ R)\ v\ \sim S$

$(N \ \&\ M) \rightarrow \sim (T \ \&\ W)$

$(R \ \&\ N)\ v\ S$

All martyrs are patriots.
No traitor is a martyr.
No traitor is a patriot.

$(p\ \&\ q)\ V\ \sim\ (p\ \&\ q)$

Prove that the following arguments are standard by constructing metaphorical proof

$(R\ S) \rightarrow (F\ E)$

$\sim (R\ S) \rightarrow J$

$(F\ E) \rightarrow \sim H$

$\therefore \sim (J\ v\ G) \& \sim\ \sim H$

Determine the validity of the following arguments using the direct method of truth table:
$R \rightarrow (S\ v\ T)$
$\sim R$
$\therefore S\ v\ T$

Prove that the following arguments are standard by constructing metaphorical proof

$(P\ v\ R)\ \rightarrow (S\ v\ T)$

$\sim M\ \&\ \sim N$

$N\ v \sim (S\ v\ T)$

$H \rightarrow (P\ v\ R)$

$[\sim H\ \&\ \sim (P\ v\ R)]\ v\ S$

Prove that the following arguments are standard by constructing metaphorical proof

$A \rightarrow B$

$C \rightarrow D$

$\sim B\ \&\ \sim D$

$(\sim A\ \&\ \sim C)\ v\ P$