“…the living God…is the Savior of all men, specially of those that believe” (1 Tim. 4:10).
“How is Christ the Savior of all men, specially of them that believe?”
“…the Father sent the Son to be the Savior of the world” (1 John 4:14), but “it pleased God…to save them that believe” (1 Cor. 1:21). So God is the potential Savior of all, and theparticular Savior of all that believe. Righteousness is offered “unto all,” but it only comes “upon all them that believe” (Rom. 3:22).
But in the context of 1 Timothy 4:10, it is possible Paul had even more than this in mind. In Verse 16, he told Timothy:
“Take heed unto thyself, and unto the doctrine; continue in them: for in doing this thou shalt both save thyself, and them that hear thee” (1 Tim. 4:16).
Since Timothy was already saved from his sins, Paul must be saying he could save himself and his hearers from all the misery and heartache that not taking heed to Pauline doctrine always brings. Unsaved men can benefit from this kind of salvation as well.
Remember, a few verses earlier, Paul told believers that “godliness is profitable… having promise of the life that now is, and of that which is to come” (1 Tim. 4:8). Every believer knows that living a godly life will yield the profit of rewards at the Judgment Seat of Christ in the life to come. But godliness also profits richly in this life as well. Berean Bible Society founder Pastor C. R. Stam used to say that if he died and found out that Christianity was all a lie, that there was no life after death or rewards in the life to come, he wouldn’t regret a moment of the life he had lived, for it is the richest, most rewarding and satisfying life that can be lived.
But even unbelievers know by experience that “the way of transgressors is hard” (Prov. 13:15), and that “virtue is its own reward.” So Christ can save them from misery and heartache as well, as they inadvertently take heed to “the doctrine that is according to godliness” (1 Tim. 6:3).
And so, just as the sun and the rain that God gives all men can save unsaved men from the deprivation they would know without these things in life (Matt. 5:45; Acts 17:17), adhering to Christian principles can save unsaved men from misery and heartache in life. That makes God “the Savior of all men,” but specially of them that believe, for them that believe will alsobe saved from an eternity in the lake of fire in the life which is to come. source