Now, I have already covered why morality is most likely arbitrary.
Thats because any moral standard is ultimately a product of choice, or a product of desire, or a product of will. Since any moral standard can be rejected and different one can be accepted instead, it follows that morality is something equal to wish. Any moral reason is ultimately an arbitrary reason that can be rejected or accepted at will of anyone. Arbitrary reason is not, as one might think, the actual cause. The will is the actual cause for accepting or rejecting a standard. Thus, standard is always a choice.
But some Christians have stated that God created logic, and that God can do illogical things.
Wouldnt this make logic itself an arbitrary product of God's will?
Logic, by itself, has these self-evident rules:
Non-contradiction: Something cannot both be and not be at the same time, cannot be true and false at the same time.
This rule is mainly about the impossibility of both existing and not existing at the same time.
If one were to completely deny this rule, he would have no way of forming any logical thinking. Plus, he would have no way to demonstrate his thinking, as we have never observed anywhere something both existing and not existing at the same time.
In fact, its not even possible to imagine. Even our imagination cannot imagine something that both exists and doesnt at the same time. Its simply impossible to imagine.
So when people claim that God can do illogical things, is that a mere assumption?
If we have these two claims:
1. Object A exists somewhere
Or
2. It is false that object A exists somewhere
How is it possible for both claims to be true? The second one being true means that first one isnt.
Yet in an illogical world of God, they can apparently both be true.
Of course, some thinkers have claimed that both can be true at different times. However, the time of claim one is included as time of claim two, since claim one itself is included in claim two.
So, by logic, two contradicting claims must mean that one is false.
Another law of logic is excluded middle.
This means that claim can be either true or false, but not both and not neither.
Illogical world of God would defy this logic, but how?
How can something neither exist nor not exist?
Even law of identity, which states that X is always equal to X, would be defied.
These logical laws form our universe, but if God created them, that would make logic itself arbitrary.