As we consider God's provision opened to us by the cross, it is important for us to understand two titles of Jesus. First in I Corinthians 15:45:
"So it is written, 'The first man Adam became a living being [or a living soul]." The last Adam became a life-giving spirit.
Many Christians call Jesus "the second Adam." But that is incorrect. Verse 45 calls Him the last Adam. Does it make a difference? It does, as we shall see.
But first we will go on to verse 47:
"The first man was of the earth, made of dust; the second Man is the Lord from heaven.
So Jesus is called first the last Adam and then the second Man. We must get these titles right and in the right order. If we do not get them right, or if we put them in the wrong order, it does not make sense.
One the cross Jesus was the last Adam. He was not the last in the sense of time; there have been millions and millions of descendants of Adam born since then. But he was the last in the sense that the whole Adamic race came on Him in its entirety as He hung on the cross. The total evil inheritance of our sin-cursed race came on Him. And when He was buried, it was all buried with Him. Our evil nature inherited from Adam was put away. Finished. Put out of sight.
Then, when Jesus rose from the dead, He arose as the second Man, a new kind of man, the beginning of the Emmanuel race, the God-man race. Everyone who is born again through faith in Jesus' death and resurrection becomes part of this new Emmanuel race. Make sure this is very clear to you. Picture Jesus on the cross, the last Adam, the end of it all. There was no other way for our race to escape the evil consequences of what we had done. But when Jesus was buried, it was all buried with Him. When He arose the third day, it was the beginning of a new race, the God-man race in which God and man are somehow mysteriously combined in one new creation.
(From "Bought with Blood" - by Derek Prince - chapter 3 - "A Divinely Ordained Exchange")
Docs: So, it's Jesus the last Adam on the cross inheriting and bearing all of the sins of humanity in their entirety. After dying, He rose again as the Second Man from heaven. He could not have been the "second Adam” after raising from the dead. Since I learned this, I can hardly count how many times I've heard Jesus referred to as the second Adam. It's not an intentional mistake and I know what people mean when they use the term second Adam. I used it myself and came to learn it isn't scripturally correct and I believe it is worth maintaining the distinction. I'm not trying to be picky or over legalistic. I had to learn this myself. It's not scriptural to call Jesus the second Adam.
Thanks. Blessings. Have a good holiday.