1 Timothy 2:3-4 "For this is good and acceptable in the sight of God our Saviour; Who will have all men to be saved, and to come unto the knowledge of the truth."

With words like 'any' and 'all', we have to look at the context because with words like 'any' and 'all' there is usually a qualifier. I did a search for all the places in the NT referring to "all men" and in each case the context dictates what is meant by all men. For some examples of this we'll quickly go through some other verses with 'all men' in them.

John 1:7 "The same came for a witness, to bear witness of the Light, that all men through him might believe." Everyone (except for a universalist) knows that 'all men' is qualified to all types of men. Jew, Greek, rich, poor, all men believe through Christ.  One God for all men.

John 3:26 "And they came unto John, and said unto him, Rabbi, he that was with thee beyond Jordan, to whom thou barest witness, behold, the same baptizeth, and all men come to him."  Did every single person go to John? No, but all types of men, all kinds.

Romans 5:18 "even so by the righteousness of one the free gift came upon all men unto justification of life." We aren't universalists, so all men is qualified. Jew, Greek, master, slave, rich, poor... all men.

2 Corinthians 3:2 "Ye are our epistle written in our hearts, known and read of all men."   Does he mean every single person?

1 Timothy 4:10 "For therefore we both labour and suffer reproach, because we trust in the living God, who is the Saviour of all men, specially of those that believe."  Again, we aren't universalists, so we qualify the 'all men', specifically those who believe.

'All men' must be considered carefully from a grammatical viewpoint and also from a historical viewpoint.  Realizing that there was much enmity between Jew and Greek, master and slave, etc.

Both camps, Calvinists or non-Calvinists qualify 'all men', 'any', 'world', etc... What I want to show is that the context in 1 Timothy 2 dictates that all men means all kinds/types of men.

Lets read verse 1 to 6 to get the immediate context. Now in verse one Paul exhorts the church to pray for all men. Is this 'all men' every single person? Every living person? (since we don't pray for the dead). Verse 2 gives us the context, Paul lists some types of men, kings and those in authority. Paul wants them to pray for all kinds of men and not to ignore certain types of people who we think are not deserving of prayer. In this case those in authority were persecuting, jailing and killing Christians, but Paul exhorts them to pray. Knowing that if they are saved, it will lead a quite and peaceable life.

He continues in verse 3, "for this is good and acceptable in the sight of God". God wants us to pray for those in authority, and wants all men to be saved. (verse 4) Again the context here is praying for those in authority that they might be saved. God does not discriminate between position, race or status.

Verse 5 continues the same thought explaining that there is one God and one mediator. No matter who you are, king or not, there is one God for all. Who gave himself a ransom for all (verse 6). The 'alls' in this context is referring to all kinds of men, we aren't to be discriminate in our prayers, there is the same God and mediator for us as there is for the king. "For there is no respect of persons with God." (Romans 2:11)