[quote="Get_off_my_lawn, post:90, topic:2211]
Nope. This is not a valid deduction, and it’s easy to show. Let’s swap blue and green:
- The sky is green.
- Jack says that the sky is blue.
- Therefore (because both 1 and 2 are taken to be true) Jack is wrong.
So, following your (faulty) deduction, the sky is “logically” determined to be green. This happens because you assume a priori that 1 is “truer” than 2.
[/quote]
OK, now you are confusing “deduction” and premis (“a priori”).
Let’s check quickly on wikipedia:
A deductive argument is one whose premises are intended to guarantee the truth of its conclusion. In other words, a deductive argument seeks to reach its conclusion by logical necessity. For instance, the following argument is deductive.
Deductive argument:
Victoria is tall.
Victoria has brown hair.
Therefore, Victoria is tall and has brown hair.
So a deductive argument is valid (or “logical”) if the conclusion really follows from the premises. Of course, if the premises are wrong, then the conclusion might also be wrong, but that does not make the argument invalid.
The difference is one of Validity and Soundness:
A deductive argument is said to be valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false. Otherwise, a deductive argument is said to be invalid.
A deductive argument is sound if and only if it is both valid, and all of its premises are actually true. Otherwise, a deductive argument is unsound.
What I’ve been saying all this time is that I can see only one valid argument that Euthyphro’s Dilemma is a threat to theism. I have given that valid argument and said, that I do not think that it is sound, because I do not find the premises established.
Now Nyarlathotep kept saying that the argument is illogical and got a bit confused in whether there is a contradiction or not.
But apparently we all agree: The argument is not sound because the premises are not good. So Euthyphro’s Dilemma really is no threat to theism, because even that argument (though logically valid) is not sound.
I don’t think there is more need to discuss this here.
You can think a bit more about the validity of the argument if you want.
[quote="Get_off_my_lawn, post:90, topic:2211]
The correct deduction is that either 1 or 2 is wrong (or both are wrong) because they contradict each other, but you’ll have to bring in empirical observation or some extra statements in the list to determine which is which.
[/quote]
No, the two assertions do not contradict, as I have shown with the Jack example.
It is very well possible that the sky has a different color from what Jack says and that Jack is wrong in his claim. There is no logical contradiction.
[quote="Get_off_my_lawn, post:90, topic:2211]
- God does not exist.
- The Pope says that God exists.
- Therefore (because both 1 and 2 are taken to be true) The Pope is wrong.
See? God “disproven”. How’s that for a powerful deduction, eh?
[/quote]
No, you don’t disprove God, you assume Him not to exist in assumption 1. You are not even trying to disprove God, you are trying to prove that the Pope is wrong.
You see, it’s the conclusion which is what you are trying to prove. The argument is not trying to prove a premise.
I find it really weird that you don’t understand that this is valid logic, because it very literally is your logic.
You do really assume that God does not exist (1). We can both agree that the Pope claims Him to exist (2). So if the assumptions are correct, then the conclusion is valid: The Pope would be wrong (3) - this is what you believe.
I can attack the argument by saying that I believe assumption 1 to be false, in which case also the conclusion would be false. If God does exist, then the Pope is not wrong.
But I cannot say that the argument is invalid or illogical.
Well, thanks for the ride. I find it now established that nobody here has an answer why the dilemma were a threat to theism. We are in agreement.
Peace