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My objection is to your premise, repeated in one form or another: Jesus must be either a God or a Man. I reject that premise.
Not surprisingly, I believe he is different from either, a third category, sui generis, sometimes described as the God-Man.
Rejecting that premise rejects most, if not all, of your syllogisms as invaild.
Where I think the problem occurs is in the second premise, as being insufficiently descriptive.
God is not human.
Jesus was a human.
Therefor, Jesus was not God, or he was lying.
I am not, at this point, asking you or anyone to infer anything, nor am I trying to prove logically anything about Jesus. I am merely pointing out that the possibility exists that Jesus was a "God-Man," that it is logically possible, and that your syllogisms fail to address that question, let alone rule it out.
If we must infer that Jesus was not a god, nor a man, but a different kind of being altogether, I would have to ask how you surmised this? From the very book that tells you he is all these things?
Apples are red. (Ok, I know some are green, cut me some slack here.)
Red is a color.
Colors can't be weighed.
Therefore, apples can't be weighed.