B A A B - Vidyadip

Question

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

✓

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.

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

$(A\ \&\ B) \rightarrow\ \sim\ R$

$R\ v\ \sim \ D$

$T \rightarrow B$

$D\ v\ (B \rightarrow P)$

$\therefore (T\ P)\ v\ L$

Prove that the following arguments are standard by constructing metaphorical proof

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

$Q \rightarrow \sim\ (P\ \&\ R)$

$(S\ \rightarrow\ T)\ \&\ Q$

Prove that the following arguments are standard by constructing metaphorical proof

$H \rightarrow I$

$I \rightarrow G$

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

$\sim P \rightarrow\ \sim Q$
$\sim Q$
$\therefore \sim P$

Prove that the following arguments are standard by constructing metaphorical proof

$(P \rightarrow\ Q)\ \&\ R$

$\therefore [(F\ \&\ G)\ \&\ R ]\ \&\ E$

Determine the validity of the following arguments using the direct method of truth table:
$Pv \sim( Q \& R )$
$\sim P $
$\therefore \sim( Q \& R )$

Introduce Ashtanga Yoga by drawing a figure.

No Indian American.
All Gujaratis are Indians.
No Gujarati is American.

Prove that the following arguments are standard by constructing metaphorical proof

$(H\ \&\ K)\ \rightarrow\ (J\ v\ K)$

$\sim\ E\ \&\ \sim\ F$

$F\ v\ \sim\ (J\ v\ K)$

$\sim\ (H\ \&\ K)\ \rightarrow\ H$

$H\ \&\ \sim\ E$