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

Question

Prove that the following arguments are standard by constructing metaphorical proof

$(M\ v\ N)\ \&\ K$

$[M\ v\ N)\ v\ L] \rightarrow H$

$[( M\ v\ N)\ \&\ H] \rightarrow Z$

$\therefore Z$

✓

Answer

$(1)\ (M\ v\ N)\ \&\ K$	$P$
$(2)\ [(M\ v\ N)\ v\ L] \rightarrow H$	$P$
$(3)\ [( M\ v\ N)\ \&\ H] \rightarrow Z$	$P/\therefore Z$
$(4)\ M\ v\ N$	$1,$ Simp.
$(5)\ (M\ v\ N)\ v\ L$	$4,$ Add.
$(6)\ H$	$2, 5,$ MP$
$(7)\ (M\ v\ N)\ \&\ H$	$4, 6,$ Conj.
$(8)\ Z$	$3, 7, MP$

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 Rules of conjecture→Rules of conjecture — all question types→Philosophy STD 12 Arts question papers→Gujarat Board STD 12 Arts question papers→Gujarat Board question paper generator→

Similar questions

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

Prove that the following arguments are standard by constructing metaphorical proof

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

$R \rightarrow (H \rightarrow G)$

$\therefore (G\ v\ I)\ \&\ H$

Determine the validity of the following arguments using the direct method of truth table:
$\sim P\ v \sim Q$
$\therefore P\ \&\ Q$

$(P\ v\ Q)\ \&\ \sim\ (P\ v\ Q)$

Prove that the following arguments are standard by constructing metaphorical proof

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

$\therefore (D\ \&\ A)\ v\ P$

Explain the differences in the Constitution.

All voters are patriots.
All are patriotic soldiers.
∴All soldiers are voters.

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

All elites are precious.
All societies are elite.
All societies are precious.

~ (p $\leftrightarrow$ ~ ~ p)