00:01
Hey, it's clarissa enumerate here.
00:02
So p is superman is able to prevent evil.
00:06
Q is superman is willing to prevent evil.
00:09
R is superman prevents evil and s is superman exists.
00:14
So for our first argument, we have, if superman were able and willing to prevent evil, he would do so.
00:26
So we have this for our first argument.
00:31
For our second one, we have superman does not prevent evil.
00:34
Evil just this not our third one is if superman exists he is neither impotent or malevolent we can assign symbols and we do like this or not q okay so we have our assumptions so we're going to simplify the third one using our de morgan's law so we have s then p and q so we are assuming that our first assumption is true so we're going to write the entire proposition using symbols so if p so if p and q then r is true then we know that p and q can be true or false so if p and q is true then r is true and since r is true not r is false so since not r is false then we know that our p and q then r then s and p and q is false as well and since this is false the original argument is true but if p and q is false, then s, then p and q can be true or false.
03:06
So if this is true, then s is false.
03:12
And since s is false, then not s is true.
03:15
And since not s is true, then the original argument is true.
03:19
But if this was false, then p and q, then r, and not r, and s, then p and p and q is false.
03:43
And since this is false, then the original argument is true...