question In Detail . (5 Marks)

Question

The world develops if man is intelligent. If the world develops then man is intelligent. Therefore, either man is intelligent or the world is evolving.

Vidyadip · Accepted Answer

Hint: P = man is intelligent. Q = The world is evolving. Symbolic representation of the argument: P Q Q P P v Q Combining the two bases of this argument as a whole, the argument will be as follows: (P Q) & (Q P) P v Q Truth Table: Support Statement The resulting statement 1 2 3 4 5 6 P Q P Q Q P (P Q) & (Q P) P v Q 1 T T T T T T 2 T F F T F T 3 F T T F F T 4 F F T T T^* F^* 1, 2( ) 2, 1 ( ) 3, 4 ( &) 1, 2(v) 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. Row out of the total four rows of the truth table. The base statement in 1 and 4 is truth ‘T’ But of the row. The result statement in 4 is false ‘F’. Hence, this argument is disproportionate.

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

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