Bible Study with Fred, 1Timothy 1, verse 18 through chapter 2, God wants all men to be saved

1Timothy 1:18 ¶ This charge I commit unto thee, son Timothy, according to the prophecies which went before on thee, that thou by them mightest war a good warfare; 19 Holding faith, and a good conscience; which some having put away concerning faith have made shipwreck; 20 Of whom is Hymenaeus and Alexander; whom I have delivered unto Satan, that they may learn not to blaspheme.
1Timothy 2:1 ¶ I exhort therefore, that, first of all, supplications, prayers, intercessions, and giving of thanks, be made for all men; 2 For kings, and for all that are in authority; that we may lead a quiet and peaceable life in all godliness and honesty. 3 For this is good and acceptable in the sight of God our Saviour; 4 Who will have all men to be saved, and to come unto the knowledge of the truth. 5 For there is one God, and one mediator between God and men, the man Christ Jesus; 6 Who gave himself a ransom for all, to be testified in due time. 7 Whereunto I am ordained a preacher, and an apostle, (I speak the truth in Christ, and lie not;) a teacher of the Gentiles in faith and verity. 8 I will therefore that men pray every where, lifting up holy hands, without wrath and doubting.
1Timothy 2:9 ¶ In like manner also, that women adorn themselves in modest apparel, with shamefacedness and sobriety; not with broided hair, or gold, or pearls, or costly array; 10 But (which becometh women professing godliness) with good works. 11 Let the woman learn in silence with all subjection. 12 But I suffer not a woman to teach, nor to usurp authority over the man, but to be in silence. 13 For Adam was first formed, then Eve. 14 And Adam was not deceived, but the woman being deceived was in the transgression. 15 Notwithstanding she shall be saved in childbearing, if they continue in faith and charity and holiness with sobriety.