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I'm not saying you can't, but I will just outline some challenges, which maybe will help you identify strategies:
- its pretty likely he actually was raised being taught monogamy was normal and wonderful. maybe not? But it's unlikely he's never -considered- monogamy. He's most likely -rejected- monogamy. If I were to use an example, this isn't like preaching the gospel to people who've never heard of jesus, this is like convincing someone who -left- a church to come back. That's quite a bit harder. You would need to specifically address -why- he rejected monogamy, not just say 'here are nice things about it'.
- It doesn't sound like either of you actually are looking to settle down, which is one reason some people may slow down their sleeping around.
- I've never actually seen a player stop being a player because he fell in love. They stop being a player when they make a conscious decision 'okay, time to get married and have kids'. Then they look for someone with specific traits they want for that. I'm not saying it's never happened, but I -really- doubt it.
- if the reason he is anti-monogamy is that he thinks most monogamous relationships are just anti-jealousy pacts, i'd agree with him. Do you want to be monogamous simply so you don't have to imagine him with anyone else, or do you want monogamy because you actually want a relationship where you really honestly try to meet almost all of each other's sexual desires? That's a different offer from just 'how bout we just stop doing something we like (sex with others)' and replace it with nothing, but get to not be jealous'