Aionios comment

[fullarmor2]

   I had a couple thoughts today on aionios ,   in Matthew where it says "these shall go to aionios life,  and these others will go to aionios punishment.(correction)
    Now,  I understand that aionios life and punishment are both of God.  And that particularly,  aionios life is a gift of God.   In light of this I thought of a couple different contexts  where the Word itself,  again defines aionios as meaning "pertaining to an age", or a "period of time". And specifically that when aionios is paired with the word life,  it means life that endures.   So,  the first context is Adam and Eve before their fall.  Did they not enjoy aionios life that comes from God? And after the fall,  it ended or was interrupted.  And what about the divine messengers who were imprisoned in Tartaraus  ? Didn't they enjoy aionios life from God before they fell and lost it for however long?
My point is that if you understand aionios life to mean life which endures as we abide in God's love,    then it makes sense.  And understanding it to mean endless or eternal,  doesn't work.   
    One last thing.    In mainstream doctrine,   they believe that towards the end of the Millennial reign of Christ,   there will be a rebellion by some people who are a part of the Kingdom. Who have aionios life!  And these rebels will be judged and punishment.  Now,  if aionios means unending,   then how does the aionios life of these rebels in the Millennium come to an end when they enter aionios punishment?   I would like to hear et folks explain this contradiction in their beliefs.     I 
   

[WhiteWings]

I can give you a explanation.
Some aions are limited (like sodom burning for the aion) other aions are unlimited. (heaven and hell) => context.

So,  the first context is Adam and Eve before their fall.  Did they not enjoy aionios life that comes from God?

If you look at it that way we all enjoy aionios life right now. (it will end) IMO you are correct when you just apply the definition of aion. (secular way)
But the Biblical defenition of aionos life has something extra added to it. It has to do with faith, religion, chastisment etc. That aion starts after being resurrected. Meaning after death. (Death that is physicly or spiritly is another discussion)