Yes, he is, because his logic is perfect... because he not only knows the truth, he *is* truth. We have some of that capability, but it is corrupted. That does not mean that we cannot think logically in spurts. Some people more than others.
How do we know when we are being logical and when we are not? That is something that has to be experienced, much like the relationship with him you demanded I prove.
The truth is, I cannot prove God to you in the way you demand. None of us can and we admit that. Only God himself can soften your heart to the point that you can choose him.
We have all seen stories where the man loves the woman but she will not believe it and continually rejects him. We on the outside can see plainly that he loves her, she cannot accept it because it doesn't look exactly like she has previously decided love would look like. Now, hopefully we have a happy ending and the man's love is finally requited. But we don't know the end of the story yet, for each individual. I hope that someday you will requite God's immeasurable love for you, stuartcr.
This is semantically null. What the heck is "perfect logic"? I think you are misusing the word "logic", because any logic that God could use, humans could use also (with all the usual caveats). What you are saying essentially amounts to saying that mathematics isn't "scalable". Even if not technically wrong as a hypothesis, you seem to be saying that your lack of understanding justifies using unsupported assertions. Kind of like the fallacy of making an argument from incredulity.
This isn't meant to be a flame. More like a "Huh?".