In this case the starting point is simple: the laws of logic apply
This is again circular reasoning.
I already explained what circular reasoning is and how this statement clearly and explicitly differs from that. Did you read it? Do you understand it?
Circular reasoning is an invalid form of reasoning. What makes it invalid is that it violates how logic works. In case you aren't aware, the word invalid means that the conclusion does not logically follow from the premises.
So all of this is an evaluation of whether these arguments are themselves logical, therefore any criticism you offer only has meaning if we assume logic at the outset, and that's what you don't seem to be getting. What your arguments really boil down to in this thread is that you are trying to use logic to argue against logic.
The reason we assume logic at the outset is because we have no other choice. It does not matter whether you're trying to affirm it or invalidate it, any attempt to do either requires the use of it, which prepossess its validity.
So when you claim that the necessary acceptance of logic is circular you are in fact arguing against the very tool you are using to make your argument in the first place. That is absurd.
You begin with the premise that laws of logic apply to God, and you end up with conclusion that laws of logic apply to God.
The premise was never that the laws of logic apply to God, it's that the laws of logic apply. Explained that already, and you obviously read it because you snipped it and replied directly to it.
True excluded middle would be:
1. A exists
2. A doesnt exist.
But in your version, you are putting contradictive options as one option.
Why is this so difficult for you?
Let's try this...
Zeus: a god who is the creator and ultimate ruler of the universe
Allah: a god who is the creator and ultimate ruler of the universe
Proposition A: a god exists
Q1: if Zeus exists, does that make proposition A true? Yes or No?
Q2: if Allah exists, does that make proposition A true? Yes or No?
Q3: Does the option of Zeus existing contradict the option of Allah existing, and vice versa?
Answer these three questions, then explain what, according to the law of excluded middle, are the options for proposition A.
Its like rolling dice and saying: its 6 or not 6. So I have 50% chance at getting 6.
For the, what (?), 4th or 5th time now...
The law of excluded middle has absolutely nothing to do with probability.
Read that sentence over again, as many times as you need. Then proceed.
You are the one who is trying to frame the true dichotomy that the law of excluded middle necessitates in terms of probability. You are the trying to warp the math on that probability towards proving the existence of god. That is you doing that, not me.
The most I did was indulge in your fallacious reasoning by showing you where your own logic leads, you have since grabbed right onto that in an attempt to shift your own fallacious reasoning on me. That's BS and if you were arguing in good faith you would know that.
If you roll a dice, 6 or not 6 are your only two options within the framing of whether the dice will roll a 6. The same framing can be applied to 5, 4, etc. The dice example only further illustrates the point I've been making since the start of this thread. You cannot use the A/not A framing to determine probability. That's not how that works.
Looks like AI agrees with me on this one.
OMG.
It agrees with you because you explicitly asked it what the odds would be if each god had a 50% chance of existing independently. That's why it concluded an 87.5% chance of at least one god existing. That's not what we're talking about.
I used the examples of God/Allah/Zeus specifically because they are all mutually exclusive. That means the odds of any one of them existing, if that could be calculated, would directly impact the odds of the others existing. So in that example, if one of them had a 50% chance of existing, that would only leave a 50% chance for all other possibilities.
On the other hand, if we're limiting this to gods that can coexist, then this math checks out fine. The problem is that you have yet to put forward a means by which we can calculate the probability of any god since the law of excluded middle has nothing to do with probability.