Joe,
"In the article it says that the youth did accept Jesus, not that they just claimed to."
Only God knows the heart of the individual. At best, we can only know what a person claims. We may see fruit of salvation, but seeing or not seeing fruit is not an absolute evidence.
I am familiar with this apologetic by "once saved always saved" apologetics. It says that the person didn't "really" believe if he or she fell away OR that they will eventually come back if they did believe.
It's a tough apologetic to disprove, because you are right that we aren't inside their mind or to see if they love Jesus. But it's also a rather "paranoid", excessively cynical apologetic. You could have hundreds of teens raised their whole life to believe, falling down before crosses in tears and prayer, pass lie detector tests saying that they believe in Jesus, watch them totally on their own with no prodding do Christian actions like private prayer or going to a soup kitchen, and the "once saved always saved" proponent could still claim that the children didn't "really" believe that Jesus was Messiah and that it was all an act.
Personally I find all those "signs" that I just mentioned to be good proofs. If a person is raised from birth to believe something and they
always say that they do, I think it's a strong proof that they are honest about this, since being raised from birth about something ingrains it in the person.
HOWEVER, unfortunately I know that for that same reason Calvinism can be intensely ingrained in people as well. There is a teaching among the rabbis:
You shall not turn aside from the sentence which they shall declare to you to the right hand nor to the left. If they tell you that the right hand is right and the left hand left, listen to them, and even if they shall tell you that the right hand is left and the left hand right.(Midrash Rabbah - The Song of Songs 1:18)
(SEE:
http://www.aish.com/tp/i/moha/48915687.html) Of course, there are dissenting opinions among rabbis on that teaching too.
There are also Calvinists who have been so ingrained in their system that they have difficulty going against it. Claiming that NO ONE who has sincerely believed could be lost is a good example. Another good example are the extreme apologetics about Calvin's repressive rule in Geneva. Another example is the way that some Calvinists will defend Calvin's mistaken exegeses in cases where I expect they would not have reached the same conclusion themselves that Calvin did. Just as the rabbis could teach that the "right hand" is"left", Calvin said that "rock" in 1 Cor 10:3-4 means "stream of water".
Feel free to give your own answers here:
http://www.christianforums.com/thre...angelicals-presbysterians-methodists.7934273/
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"If the person accepts Jesus, it means that they believe."
Again, I don't see where the Bible uses the term "accepts", when it comes to faith in Christ Jesus.
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The Bible doesn't use the terms Jewish or Israelite when it comes to Jesus of Nazareth, even though we know that Jesus is Jewish because he descended from David on his mother's side.
If He was the Messianic Son of David, He was Jewish, and if thousands of professed Christian teens do accept Jesus as the Messiah, it means that they believe in him.