I'm not sure what you're trying to do here. It just seems a mess. As an argument, it would be, with p=live elephant in this room:
Premise 1: There is evidence of p
Premise 2: p is impossible
Conclusion: p
No, it's consistent.
The first statement is that I see a live elephant in the room.
The second statement is that an elephant can't be
hidden in that room. (Which is why I can see it -- if it were hidden, I wouldn't be able to see it.)
Here is where I made my mistake. I thought you were saying an elephant can't be in the room. So Premise 2 would be: p can't be hidden.
In this case, the second statement isn't needed to reach the conclusion: There's a live elephant in the room.
Based on what I've been learning, this is an invalid deductive argument, as the truth of the premise doesn't guarantee the truth of the conclusion. So if you are claiming certainty for the conclusion, your argument doesn't work.
If you meant it as an inductive argument, the conclusion would be "p is more or less likely". The "more or less" would depend on your evidence.
But that was just an illustration to show why both statements are necessary in the first case:
I don't see an elephant here.
It's not possible for an elephant to be hidden here.
Therefore, there must not be any elephants here.
So your argument, with P as an elephant here:
Premise 1: I don't see P
Premise 2: It's not possible to hide P
Conclusion: Not-P
Which seems to be a valid deductive argument; if Premise 2 is true, it would also be a sound argument, I think.
But if you're trying to replicate tsig's argument, that's not what he said.
It's the lack of facts and evidence for god that informs my judgment that there is no god.
His argument didn't include your premise 2.
We can contrast that with this situation:
I don't see an elephant here.
It's possible for an elephant to be hidden here.
Therefore, I don't know if there's an elephant here or not.
The argument, with P=an elephant here, seems to be:
Premise 1: I don't see P
Premise 2: P could be hidden
Conclusion: I don't know whether or not there's P
I think this is a valid, sound deductive argument.
Or this:
I don't detect any harmful radiation in this room.
I have no way to detect radiation.
There might be harmful radiation in this room.
So if P=radiation, the argument is:
Premise 1: Given that P can be harmful
Premise 2: I don't detect any harmful P in this room
Premise 3: I can't detect P
Conclusion: There might be harmful P in this room.
This appears to be a valid, sound argument using Premise 1 (which gives your assumption) and Premise 3. You don't need Premise 2.
The point is, the lack of evidence only leads you to a conclusion if you've looked where the evidence must be if a thing is true, and the evidence is missing.
And
tsig didn't do this in his argument. He also made the conclusion certain, and so it was an argument from ignorance.
This doesn't lead to a certain conclusion, as that would be an invalid deductive argument. As an inductive argument with a more or less likely conclusion, you have to show the truth/strength of your premises. How strong is your evidence? Who gathered it? How did they gather it? How do you know where the evidence must be? How possible is it to look everywhere the evidence must be? Who decides what "everywhere" is? And so on.
In the case of God, a new worldview has replaced the old mythological one, and in doing so has made the old one impossible.
To paraphrase another poster, I don't know what you mean here, but I'm pretty sure it's wrong.
So it's not just the fact that we lack evidence for God, it's also the fact that the evidence we do have about the world contradicts what we'd expect if people had been right about God.
Well, if you mean it contradicts all the very many different ideas about God, that's pretty comprehensive. And I'm not sure it's true. Some things may be contradictions, others are considered by some people to be evidence for the existence of God.
There's also the possibility that people were right about the fact that there is a God, but wrong about how they characterize him. Or that God can be all things to all people who believe in him (i.e., all gods are God).
That's why I compare the situation to the phlogiston situation.
Note that I'm not comparing God to phlogiston, which is what makes it different from an argument which says what's true for a ratio like pi might be true for God as well. It's not that God is anything like phlogiston, or shares any qualities with it... it's that both are examples of cases in which one way of seeing the world has been debunked by a new way of seeing the world which has been put to the test and passed it.
But this new way of seeing the world will probably be debunked as well, so how can it be true. It's just what we know now, with the proviso that we don't know everything and there may be change. To me, that means God remains a possibility.