Prove that the following arguments are standard by constructing m… - Vidyadip

Question

Prove that the following arguments are standard by constructing metaphorical proof

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

$P \rightarrow S$

$P\ v\ T$

$\sim T$

$\therefore S\ \&\ (Q\ v\ R)$

✓

Answer

$(1)\ P\rightarrow (Q\ v\ R)$	$P$
$(2)\ P\rightarrow S$	$P$
$(3)\ P\ v\ T$	$P$
$(4)\ \sim T$	$P/\therefore S\ \&\ (Q\ v\ R)$
$`$	$3, 4, DS$
$(6)\ S$	$2, 5, MP$
$(7)\ Q\ v\ R$	$1, 5, MP$
$(8)\ S\ \& (Q\ v\ R)$	$6, 7,$ Conj.

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