When I consider this I have to ask myself "Where do I find that idea in scripture?".
When I look at this from either a Calvinist or Arminian perspective I find myself thinking that the elect are only those chosen by God for a purpose and the only ones that receive salvation and that sort of makes the entire idea of evangelism rather empty: If you weren't actually chosen by God, no matter what you may choose or not choose, you are left out. If you were chosen, then you are included no matter the reason for it.
The Arminian perspective is more to my liking, but I constantly have to remind myself that this, as well as the Calvinist, view is the doctrine of men and I look to see it directly see it represented in scripture in a manner that doesn't require me to interpret it (which leads me to becoming righteous only in my own mind).
So I still ponder such things, maybe to no avail but it seems to be my nature to do so.
Frank, I too want to go the Bible to find out what it says, not what people say from their own reasoning. Here are a couple passages for you:
Rom 8:28 And we know that for those who love God all things work together for good, for those who are called according to his purpose.
Rom 8:29 For those whom he foreknew he also predestined to be conformed to the image of his Son, in order that he might be the firstborn among many brothers.
Rom 8:30 And those whom he predestined he also called, and those whom he called he also justified, and those whom he justified he also glorified.
Rom 8:31 What then shall we say to these things? If God is for us, who can be against us?
Rom 8:32 He who did not spare his own Son but gave him up for us all, how will he not also with him graciously give us all things?
Rom 8:33 Who shall bring any charge against God's elect? It is God who justifies.
Eph 1:3 Blessed be the God and Father of our Lord Jesus Christ, who has blessed us in Christ with every spiritual blessing in the heavenly places,
Eph 1:4 even as he chose us in him before the foundation of the world, that we should be holy and blameless before him. In love
Eph 1:5 he predestined us for adoption to himself as sons through Jesus Christ, according to the purpose of his will,
Eph 1:6 to the praise of his glorious grace, with which he has blessed us in the Beloved.
Eph 1:7 In him we have redemption through his blood, the forgiveness of our trespasses, according to the riches of his grace,
Eph 1:8 which he lavished upon us, in all wisdom and insight
Eph 1:9 making known to us the mystery of his will, according to his purpose, which he set forth in Christ
Eph 1:10 as a plan for the fullness of time, to unite all things in him, things in heaven and things on earth.
Eph 1:11 In him we have obtained an inheritance, having been predestined according to the purpose of him who works all things according to the counsel of his will,
Eph 1:12 so that we who were the first to hope in Christ might be to the praise of his glory.
Eph 1:13 In him you also, when you heard the word of truth, the gospel of your salvation, and believed in him, were sealed with the promised Holy Spirit,
Eph 1:14 who is the guarantee of our inheritance until we acquire possession of it, to the praise of his glory.
I quoted the full passages because it's always important to consider the full contexts of verses to get the full meaning. In Romans 8:29, Paul is talking about believers because of verse 28. The whole question is what "foreknew" means. Some take the dictionary or common meaning that God saw ahead of time who would decide to believe in him and then would believe in him (Arminian), while Calvinists believe in finding out the biblical meanings of words, since it is all God's Word. Thus, the word "know" is often used of the word between persons to mean "to have a loving, personal relationship between persons." As a result, they say that God "fore-loved" believers and thus enabled them to believe in him. That meaning is strongly supported in Ephesians 1 and 2, the latter of which says we are dead to God before we believe (verses 1-3), that God makes us alive to him when he provides us with faith by his grace (verses 4-9), and that he enables us to do good works that he has prepared for us to do (verse 10). Therefore, our salvation is 100% God's doing, not ours, because we can't muster up true faith on our own.