If one reincarnates they died.
If they reincarnates then they are born again in another woman.
According to the Bible even Jesus stated something.
Here is a Bible verse about it: John 8:58 Jesus said to them, Truly, truly, I say to you, Before Abraham was, I am. Jesus is saying that he lived before Abraham.
If you read the Bible correctly,where does the spirit of a person go,when they die?: Ecclesiastes 12:7 Then shall the dust return to the earth as it was: and the spirit shall return to God who gave it. Our spirits go back to God if we die.
Jesus also made a statement about living after dying too and here it is: John 11:25 Jesus said unto her, I am the resurrection, and the life: he that believeth on me, though he die, yet shall he live; As you can tell,by simply believing on Jesus though you die,yet shall you live.
Jesus even made a statement that confirms reincarnation and that statement is about John the Baptist and it is this: Matthew 11:13-14 For all the prophets and the Law prophesied until John. And if you are willing to accept it,John himself is Elijah who was to come.
Reincarnation probably was a part of Jesus culture back then.
As you can tell life goes on after a person dies if they believed in Jesus when they lived.