Hypothesis:
If God is all powerful, then he would be able to abolish evil.
If God is all good, then he would not allow evil to be.
Either God is not able to abolish evil, or God allow evil to be.
Therefore, either God is not all powerful, or God is not all good.
Equation:
(P –> God) –> (A –> God)
(g –>God) –> (~E –> God)
(~A v God) v (E –> God)
______________________
(~P –> God) v (~g –> God)
Work:
{[(P –> God) –> (A –> God)] & [(g –>God) –> (~E –> God)] & [(~A v God) v (E –> God)]} –>[(~P –> God) v (~g –> God)]
Set answer up to be false:
[(~F –> God) v (~F –> God)] =
[(~F –> F) v (~F –> F)] =
[(T –> F) v (T –> F)] =
[F]
Replace all known values:
{[(P –> God) –> (A –> God)] & [(g –>God) –> (~E –> God)] & [(~A v God) v (E –> God)]} –>[F] =
{[(F –> F) –> (A –> F)] & [(F –>F) –> (~E –> F)] & [(~A v F) v (E –> F)]} –> [F]
Find unknown values:
{[(F –> F) –> (A –> F)] & [(F –>F) –> (~E –> F)] & [(~A v F) v (E –> F)]} –> [F] =
“A” must equal false, if “E” is equal to true.
{[(F –> F) –> (F –> F)] & [(F –>F) –> (~T –> F)] & [(~F v F) v (T –> F)]} –> [F]
Solve:
{[(F –> F) –> (F –> F)] & [(F –>F) –> (~T –> F)] & [(~F v F) v (T –> F)]} –> [F] =
(F–>F) –> F
i.e. The statement is valid.
Do you understand?
Or do you need an interpreter?
Filed under: Miscellaneous |
Leave a Reply