PHILOSOPHY Prove the validity of the following abstract arguments: | Coursehero Helper

I’m studying and need help with a Philosophy question to help me learn.

Ch. 3–6 Using only MP, MT, DN, Simp, Conj, CS, DS, Disj, and DM.

Prove the validity of the following abstract arguments:

a)

1. ¬(S ? T) Prem
2. A ? (S ? T) Prem
3. P ? A Prem
4. ¬Q ? A Prem /? P & ¬Q

b)

1. ¬B & ¬C Prem
2. ¬C ? D Prem
3. (D & ¬B) ? (E ? ¬H) Prem
4. E & (F ? H) Prem /? ¬F

c)

1. (C ? F) & G Prem
2. (F ? D) ? D Prem
3. ¬D Prem /? ¬C ? H

d)

1. H ? ¬(K & J) Prem
2. ¬(¬K ? D) Prem
3. ¬¬H Prem /? ¬J