Adam Clarke on Matthew 8:17

Himself took our infirmities - The quotation is taken from Isa 53:4, where the verb נסא nasa signifies to bear sin, so as to make atonement for it. And the rabbins understand this place to speak of the sufferings of the Messiah for the sins of Israel; and say that all the diseases, all the griefs, and all the punishments due to Israel shall be borne by him. See Synopsis Sohar. Christ fulfils the prophecies in all respects, and is himself the completion and truth of them, as being the lamb and victim of God, which, bears and takes away the sin of the world. The text in Isaiah refers properly to the taking away of sin; and this in the evangelist, to the removal of corporeal afflictions: but, as the diseases of the body are the emblems of the sin of the soul, Matthew, referring to the prediction of the prophet, considered the miraculous healing of the body as an emblem of the soul's salvation by Christ Jesus.