Burk misses the flow of Paul's argument in 1 Timothy 2. He is an apostle charged with bringing salvation to all mankind. On that basis he exhorts men and women - targeting (as it were) certain points or characteristics which he (and the Holy Spirit of course) deemed universal.
Men are to lift holy hands eschewing the male tendency toward wrath and doubt and we could spend a fair bit of time exploring these characteristics, how men are more given to pride and anger and are less naturally given (we might say) toward faith which is something quite different from the normal Evangelical definition of faith as simple knowledge and assent.