Download App

The form of the argument and the validity of the argument — Philosophy STD 12 Arts — Question

Gujarat BoardEnglish MediumSTD 12 ArtsPhilosophyThe form of the argument and the validity of the argument3 Marks
Question
Determine the validity of the following arguments using the direct method of truth table:
$Pv \sim( Q \& R )$
$\sim P $
$\therefore \sim( Q \& R )$
✓

Answer

 
Combining the two bases of this argument as a whole, the argument will be as follows:
${[(A \vee B) \rightarrow \sim C] \&(A \vee B)}$
$\therefore \sim C$
Truth Table:
  Support Statement The resulting statement
  $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$
$A$ $B$ $C$ $\sim C$ $A v B$ $(A v B) \rightarrow \sim C$ $[(A v B) \rightarrow \sim C] \& (A v B)$ $\sim C$
$1$ $T $T$ $T$ $F$ $T$ $F$ $F$ $F$
$2$ $T$ $T$ $F$ $T$ $T$ $T$ $T^*$ $T^*$
$3$ $T$ $F$ $T$ $F$ $T$ $F$ $F$ $F$
$4$ $T$ $F$ $F$ $T$ $T$ $T$ $T^*$ $T^*$
$5$ $F$ $T$ $T$ $F$ $T$ $F$ $F$ $F$
$6$ $F$ $T$ $F$ $T$ $T$ $T$ $T^*$ $T^*$
$7$ $F$ $F$ $T$ $F$ $F$ $T$ $F$ $F$
$8$ $F$ $F$ $F$ $T$ $F$ $T$ $F$ $T$
  $3(\sim)$ $1, 2(v)$ $5, 4(\rightarrow$) $6, 5(\&)$ As $4$
Judgment of the validity of the argument: A total of eight columns have been formed in the above fact sheet. In which the column no. 7th base statement and column no. 8 is the introduction of the result statement. Row out of the total eight rows of the truth table. The base statement in 2, 4 and 6 is the truth ‘T’ 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

Determine the validity of the following arguments using the direct method of truth table:
$\sim A \leftrightarrow \sim B$
$\therefore\ \sim B \rightarrow \sim A$
→
Prove that the following arguments are standard by constructing metaphorical proof
(~ X v ~ Y) $\rightarrow$ [A $\rightarrow$ (P & ~ Q)]
(~ X & ~R) $\rightarrow$ [(P & ~Q) $\rightarrow$ Z)
(~ X & ~R) & (~ Z v A)
$\therefore$ (A $\rightarrow$ Z) v ~ R
→
(p $\rightarrow$ q) $\leftrightarrow$ (~ p $\rightarrow$ ~ q)
→
B v ~ B
→
Legislative transformation
→
Prove that the following arguments are standard by constructing metaphorical proof
$(W\ O\ \rightarrow\ T)\ \&\ (F\ \rightarrow\ Y)$
$B\ \&\ (P\ \rightarrow\ W)$
$(E\ \rightarrow\ F)\ \&\ (H\ v\ I)$
$P\ v\ E$
$\therefore\ B\ \&\ (T\ v\ Y)$
→
All festivals are Manglik.
All weddings are Manglik.
All weddings are celebrations.
→
Prove that the following arguments are standard by constructing metaphorical proof
$H \rightarrow (I \rightarrow J)$
$K \rightarrow (I \rightarrow J)$
$(\sim H\ \&\ \sim K) \rightarrow (\sim\ L\ v\ \sim M)$
$(\sim L \rightarrow\ \sim N)\ \&\ (\sim M \rightarrow \sim Q)$
$\sim (I \rightarrow J)$
$\sim N\ v\ \sim Q$
→
Prove that the following arguments are standard by constructing metaphorical proof
(P$\rightarrow$Q) & (R v S)
(R v S) $\rightarrow$ ~ L
L v (M & N)
$\therefore$ [(P $\rightarrow$ Q) & M] & ~ L
→
Prove that the following arguments are standard by constructing metaphorical proof
$P \rightarrow Q$
$\sim Q\ v\ R$
$\sim R$
$\therefore (\sim P \&  \sim R)\ v\ S$
→