I don't understand this really. Firstly, if a man's faith is strengthened by the promise of sex with many women, is it really faith? Or just hope based on lust?
Well, company with women is not just about sex
It is not that anyways. Doing whatever in heaven is allowed since there will not be consequences as God will be taking care of us directly there, so in heaven there will be no one's gonna get hurt or annoyed no matter what is done there.
How it is encouraging actually is because God made that promise for men if they live their lives with justice and doing good deeds and leaving evil and sins in this life. It is like parents promising a children with gifts if they listen to them.
And even if it was exclusively about sex, it would still make sense, as men have stronger sex drive and desire than women. It is a natural instinct and God knows that.
Either way, that promise encourages men to avoid sinful relationships in this life, so one attempt to prevent rape or adultery for example, which makes it a good promise in my opinion.
And if it is God's way to encourage men, is it just a lie? I suppose you wouldn't know the answer.
I don't see how it could be a lie, I beg to differ. Men that follow God's teachings in doing good deeds and avoid evil and sins will get all what they were promised in the after life. Or so is my belief.
Another question: since we lose what are considered to be our weak qualities that lead to sin when we reach Paradise, would we even have lust? And without lust, why would we have sex? And if we don't have sex, what's the point of that promise for sex in Paradise?
God will let us keep all our qualities of this life because we tasted it and know how it feels and it is not fair to take it from us. The bad ones will even improve, like sweat for example will smell like musk. God in paradise will not take from us, but will give for us.
Lust, regardless being bad, is not a problem in itself, but what consequences it causes in harming society and individuals is what makes it bad and unacceptable in this life. In paradise, as I mentioned before, God will take care of that and not allow anyone to be affected by those desires when we do them there. He will make sure no harm will reach anyone at any rate.
That said, please tell if I missed anything of your above questions unanswered. It is the end of the day and fasting started to tire me a little