If Judaism doesn't have an after life, then why does Christianity?

you are mistaken

Traditional Judaism firmly believes that death is not the end of human existence. However, because Judaism is primarily focused on life here and now rather than on the afterlife, Judaism does not have much dogma about the afterlife, and leaves a great deal of room for personal opinion. It is possible for an Orthodox Jew to believe that the souls of the righteous dead go to a place similar to the Christian heaven, or that they are reincarnated through many lifetimes, or that they simply wait until the coming of the messiah, when they will be resurrected. Likewise, Orthodox Jews can believe that the souls of the wicked are tormented by demons of their own creation, or that wicked souls are simply destroyed at death, ceasing to exist.

More here

http://www.jewfaq.org/olamhaba.htm
 
With all due respect, I think that there is an error in your study of Judaism. I will cite a verse from Hebrew Scripture for your consideration. But let me say that Christianity considers Judaism as no longer having Salvation and we do not emulate it for that reason. For example, I have been freed from the dietary law so that I can eat pork and shellfish, etc.

Here are two verse that are very well known from Job, a book in the Hebrew Scriptures, as you know:

Job 19:25-26 (KJV) For I know [that] my redeemer liveth, and [that] he shall stand at the latter [day] upon the earth: And [though] after my skin [worms] destroy this [body], yet in my flesh shall I see God:
 
afterlife is false when you die you're dead you need resurrection before you can live again which won't happen until Christ comes back
 
There is an afterlife, whether some people in Judaism chose to deny it is pointless since your opinion on a fact doesn't change the fact. In any event Jesus


For when they shall rise from the dead, they neither marry, nor are given in marriage; but are as the angels which are in heaven. 26And as touching the dead, that they rise: have you not read in the book of Moses, how in the bush God spoke to him, saying, I am the God of Abraham, and the God of Isaac, and the God of Jacob? 27He is not the God of the dead, but the God of the living: you therefore do greatly err.
(Mark 12:25-27)

It's just shows that the debate was in that period, Jesus showed that they were in error and that there was an afterlife.
 
well you are misinformed

there was a sect of jews called the saducees who did not believe in an afterlife, but they were minimal
 
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