For it is for this we labor and strive, because we have fixed our hope on the living God, who is the Savior of all men, especially of believers.
Exactly!, and which is why the 5-Point Calvinist interpretation of 1st Timothy 2:4 simply doesn’t work.
One member of The Society of Evangelical Arminians states: “That God is the Saviour of/for all people points to God having made salvation available through Jesus and only through him to everyone, but it is especially for the believers in the sense that for them the situation changes from potentiality to actuality.”
Another member of The Society of Evangelical Arminians states: “The 1 Tim 4:10 reference is strengthened exponentially when contexted by Paul’s emphasis in the Pastorals on the universal extent of the atonement. Five passages in all. Our view of ‘especially’ in 1 Tim 4:10 is best defended by attaching statements like, ‘after all, it is God’s will that all come to a knowledge the truth and to be saved’ (1 Tim 2), or ‘Of course 1 Tim 4:10 means “especially,” for Jesus was a ransom for all men.’” (SEA)
John Calvin comments: “Paul argues that God’s love extends to all people. If they experience God’s kindness, think how much more this is true of the godly who place their hope in him. Is he not bound to take special care of them? Will he not pour out his overflowing love on them even more generously? In short, will he not keep them safe, through everything, to the end?” (1 & 2 Timothy & Titus: Calvin, The Crossway Classic Commentaries, p.75, emphasis mine)
But 1st Timothy 4:10 isn’t talking about general “kindness” but rather Christ being the Savior.
Calvinist, George Whitefield, explains: “And so it is, but not his saving mercy. God is loving to every man: he sends his rain upon the evil and upon the good.” (A Letter from George Whitefield to the Rev. Mr. John Wesley, emphasis mine)
1st Timothy 4:10 isn’t talking about love in terms of mere “rain” either.
Calvinist, John Piper, comments: “We do not deny that all men are the intended beneficiaries of the cross in some sense. 1 Timothy 4:10 says that Christ is ‘the Savior of all men, especially of those who believe.’ What we deny is that all men are intended as the beneficiaries of the death of Christ in the same way. All of God’s mercy toward unbelievers—from the rising sun (Matthew 5:45) to the worldwide preaching of the gospel (John 3:16)—is made possible because of the cross. This is the implication of Romans 3:25 where the cross is presented as the basis of God’s righteousness in passing over sins. Every breath that an unbeliever takes is an act of God’s mercy withholding judgment (Romans 2:4). Every time the gospel is preached to unbelievers it is the mercy of God that gives this opportunity for salvation.” (What We Believe About the Five Points of Calvinism, emphasis mine)
Dave Hunt responds: “Trying to reason with those who espouse such obviously contradictory statements leaves one with a sense of complete frustration. Proclaiming the gospel to those He has predestined to damnation is an act of God’s mercy, by which He is giving ‘opportunity for salvation’ to those who can’t be saved?! And the gospel being preached to the doomed non-elect stems from God’s ‘mercy toward unbelievers’ flowing from the Cross?” (What Love is This?, p.192)
Here is a Blog discussion on 1st Timothy 4:10.