Something tells me that this is probably a mistake, but I’m going to take that question at face value.
First off… God.
God isn’t so much illogical, as pretty much meaningless. It is impossible to say there is no God, because God can adopt any property that people want him/her/it/them to have. I’ve heard it said that “God is.” This isn’t a definition of God, it is a misunderstanding of how English grammar works.
Secondly… Jesus.
Jesus is, of course, God. Which means, of course, that he is almost as meaningless as God is. However, no human being could hope to share the invincible vagueness of what God is supposed to encompass. At least with Jesus there is some limit to the ultimate mutability of God, but that limit isn’t strictly observed.
I am personally dumbfounded that Christians don’t seem to understand why the idea that a miracle worker living 2000 years ago is God doesn’t seem plausible. I’ve had it suggested, repeatedly, that it is harder to believe that 1st century Christians were taken in by a con-artist than that Jesus isn’t God. How exactly that works has never really been explained to me.