Calvinism is a term for the teaching of John Calvin that God is sovereign and salvation is all of God, not earned by man. However, the five points of Calvinism were developed after his lifetime, and some people have taken Calvinism where Calvin himself never went, adopting a view of double-edged predestination that teaches some people are predestined to damnation before the foundation of the earth, and there is nothing that can be done to persaude them nor can they ever come to faith in Christ.
This extreme view is sometimes called hyper-Calvinism. I have five questions for the five-point Calvinist:
1. Why would Paul desire salvation for his people if their destiny was already cast?
Brothers, my heart's desire and prayer to God for the Israelites is that they may be saved. -- Romans 10:1 (NIV)
2. If people are predestined to hell, why send preachers and missionaries?
"Everyone who calls on the name of the Lord will be saved." How, then, can they call on the one they have not believed in? And how can they believe in the one of whom they have not heard? And how can they hear without someone preaching to them? And how can they preach unless they are sent? As it is written, "How beautiful are the feet of those who bring good news!" -- Romans 10:13-15 (NIV)
3. If election means we have no free will, why call on brothers to confirm their election?
Therefore, my brothers, be all the more eager to make your calling and election sure. -- 2 Peter 1:10 (NIV)
4. Why would God give the wicked up to their will if God’s will takes away man’s free will?
Therefore God gave them over in the sinful desires of their hearts to sexual impurity for the degrading of their bodies with one another. --Romans 1:24 (NIV)
5. Why would Paul endure all things for the elect to obtain salvation if nothing can be done to reach the lost?
Therefore I endure everything for the sake of the elect, that they too may obtain the salvation that is in Christ Jesus, with eternal glory. -- 2 Tim 2:10 (NIV)