Pay somebody else his/hers debt.

One of the gaps between me and traditional (Roman) Christianity -apart from the added superstition in it- is the problem with the veneration of the cross in the sense that it is a paying of debt as an exchange by the-being-without-guilt of Jesus which is true by the total of his work.

He had to suffer because of our tresspassings.
They see it as filling-a-punishment-gap-payment without Jesus having debt, from Jesus. Which is also true but not in the sense that GOD had to fulfil the punishment through the punishment because of the punishment instead of the whole of his work faithful uptil death.
That it was inherent is one thing but it is not there to pay for You and me in that sense. He payed with his blood and he brought our sins on -and naled them on- the cross as they say, is right -but- BECAUSE IT WAS INHERENT, IT HAPPENED. But not that God had to fulfil the punishment on Jesus in that sense. 
Jesus had the ability to eliminate the punishment, the curse, and it came on him through doing his work and life on Earth. He could fill the hole, the gap, with his work. But not through undergo the punishment from the curse (cursed Earth); that came on him in the solving work; through his righteous teaching and his doing. 

The consequence of eliminating the punishment by his work was punishment executed by sinners, so the punishment sinners generally deserve came on Jesus. Where Jesus voluntary went through this doing GOD'S will all together, resulting in resurrection.

And so became a ransom.

Isaiah 53.4-5; "Surely our griefs he had borne our sorrows and carried yet we did esteem him strucken smitten of GOD and afflicted. But he wounded for our transgressions bruised for our iniqiuties the chastisement of our peace upon him and with his stripes we are healed".

The consequenses of peoples sin came on him they prosecuted and killed him.
What people deserve came on him.
SO IN THAT SENSE HE PAYED FOR US, SO THAT IF YOU ACKNOWLEDGE JESUS' WORK AND TEACHING -WHICH IS WORKED TOWARDS TO IN THE OLD TESTAMENT/ALLIANCE AND DESCRIBED IN THE NEW TESTAMENT/ALLIANCE-  YOU'RE CONNECTED TO EVERYBODIES HEAVENLY FATHER AGAIN, WHO JESUS  EXPLANED.
So apart from the question if Jesus made mistakes (Why You call me good? One is good, the Father Mark 10.18, Luk. 18.19) he is faithful in not avoiding consequences, having all possibilities, of his life and work up till death! In his completed teaching of the Father he succeeded, believing and following this is healing. Together with confessing our sins.
Every humanoid can refer to the son of man as the Bible calls Jesus, it is finished Jesus said on the cross (John 19.30), he fulfilled it for past, the then-present, the then-future and now future, standing in for it for every soul including himself.   

See also article "What WAS it actually what Jesus did?".

Check out the  original Bible-New Testament to get the picture of Jesus.

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