I really don't know if I have the correct wording on this. Please bare with me.
P Q R
T T T
T T F
T F T
T F F
F T T
F T F
F F T
F F F
Please try to encode what I've typed in the above post. If you know these it would be a great help.
Thank you for understanding,
You've got the basic Idea. The number of lines needed will be 2 raised to the number of simple statements. Or
So you will need lines if N is a simple statement, but I think by N, you may be trying to say "not"S, or . Is this correct. If so you will only need 16 lines.
There will be 8 Ts and them 8 Fs under the P. Then The Ts and Fs will alternate by fours for the Qs. Then the Ts and Fs will alternate by 2s for the Rs, and by 1 for the Ss.
After you have written the 16 lines, change the truth values for the tildes. Then understand that a wedge is only false when both of its disjuncts are false. Then, look for a line in which all of the premises are true, but the conclusion is false, if this does not happen, the argument is valid.
Im sorry if this is vague. I will compute the truth table and get right back to you with the answer. Thanks for being patient with me.