'I think that the canonical gospels do not answer this question. I think there Jesus is described as a mere man, with certain limited supernatural qualities due to His being the Son of God. Not really fully divine and fully human as later developed in Christianity.'
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No. You miss the great glory of Christianity, which Jesus came to demonstrate. For quite a while after returning to the faith of my childhood, whenever I read or heard a passage in one of the Gospels, like you I saw Jesus as being presented as God, and not really as man. Or rather, you see it the opposite way ; as man, not really fully as God. But both are equally wrong. He really was somehow, both truly God and truly man.
What removed the veil from my eyes, to extraordinary effect, was a book by the Abbot Marmion, called Christ in his Mysteries. In this book, he made two points :
1) That when you read the Bible,. it is God, himself, talking to you personally, and
2) That, when Jesus was talking to the Samaritan woman by the well, he was tired. Physically tired. He must have had a very heavy workload that day. This is the man who spent all night in prayer, and then continued preaching and healing people, which latter works each drew strength from him.
In principle, he could have resorted to his divine nature, at any time and all the time, but, with perhaps the sole exception of the occasion when he raised the already putrefying body of his friend, Lazarus, from the dead, he only demonstrated his unambiguously-divine power in the company of seemingly his very closest Apostles, mostly Peter, James and John, I believe.
So, he really did feel our weaknesses, as well as our temptations ; his flesh and blood were not just there to mask his divinity, so that he could dodge it all when the going got tough. Oh, he could have, of course, but he chose not to, since it would have thwarted the very purpose of his incarnation.And besides, that, of course, was not and is not the nature of our infinitely-loving God. In fact, the marks on the Holy Shroud of Turin indicate rather that his crucifixion was cruelly bungled.
The nub of it is that Jesus demonstrated that, far from being a great, impassible monolith and martinet (though in a sense he must have been impassible in principle), he really was human. And that brings the whole of the Gospels t life for me, because I see so much humour in the situations that his 'monstrous', divine goodness and love resulted in.
One small example : the woman who surreptitiously touched his robe, and was instantly cured of an issue of blood. The crowd were pressing them on all sides, so when Jesus asked, 'Who touched me ?' Peter respectfully asked him how he could ask such a question ! I could imagine Peter just before that, when Jesus was looking the other way, looking at the other disciples there and rolling his eyes ! At least wanting to, especially if he was being bustled a little, himself, as seems likely.
And then there was Jesus' incredulity and exasperation that poor Philip didn't understand that he and the Father are one, the nature of the Holy Trinity not being definitively teased out until the first Council of the Church was convened a few centuries later. And that little 'contretemps', I believe, took place before the disciples received the Holy Spirit at Pentecost.
Also, there is something about the upbeat, but still respectfully-plaintive, way that Philip and Thomas put their questions that tickles me, but they knew their Master well enough by then, and how he could be a bit testy ! 'The meaning of the phrase of Jesus : I am the Way, the Truth and the Life', doesn't exactly register instantly, doesn't scream off the page, does it ? I think that occurs in the same passage : John 14:6-10