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

Question

Prove that the following arguments are standard by constructing metaphorical proof

$G \rightarrow J$

$J \rightarrow K$

$(G \rightarrow K) v (J \rightarrow L)$

$L \rightarrow M$

$\therefore (J \rightarrow M) v\ Q$

✓

Answer

$(1)\ G\ \rightarrow\ J$	$P$
$(2)\ J\ \rightarrow\ K$	$P$
$(3)\ (G \rightarrow K) \rightarrow (J \rightarrow L)$	$P$
$(4)\ L \rightarrow M$	$P/\therefore (J \rightarrow \ M)\ v\ Q$
$(5)\ G \rightarrow K$	$1, 2, HS$
$(6)\ J \rightarrow L$	$3, 5, MP$
$(7)\ J\rightarrow M$	$6, 4, HS$
$(8)\ (J \rightarrow M)\ v\ Q$	$7,$ Add.

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