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

Question

Prove that the following arguments are standard by constructing metaphorical proof

(G $\rightarrow$ H) $\rightarrow$ (I $\leftrightarrow$ J)

K v ~(L $\rightarrow$ M)

(G $\rightarrow$ H) v ~ K

N $\rightarrow$ (L $\rightarrow$ M)

~ (I J)

$\therefore$~ N & ~ K

✓

Answer

(1)(G $\rightarrow$ H) $\rightarrow$ (I $\leftrightarrow$ J)	P
(2)( K v ~ (L$\rightarrow$ M)	P
(3) (G $\rightarrow$ H) v ~ K	P
(4) N $\rightarrow$ (L $\rightarrow$ M )	P
(5) ~(I$\leftrightarrow$ J)	P/$\therefore$ ~N & ~ K
(6) ~ (G $\rightarrow$H)	1,5 MT
(7) ~ K	3, 6 DS
(8) ~ ( L $\rightarrow$ M)	2, 7, DS
(9) ~ N	4, 8, MT
(10) –N & ~ K	9, 7, Conj.

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