I completely understand where you're coming from OP and accept that you probably don't behave like this in RL.
I have 2 boys, youngest is coming up 6 months. I've always wanted 3, I'm middle of 3 and love the dynamic of that. DH is one of 2 and wants to stick at two. Difference being that I'm very close to my family, DH probably not as much. I want to replicate what I grew up with, for my kids.
I was desperate through my second pregnancy because I was so sad to think it would be my last and when DS2 arrived I remember thinking "I'm not done yet!"
Having said all that, my sons are my joy but as DS2 grows I find myself more on the fence about a third. We live in a very expensive part of the world and privately educating 3 kids is not going to be cheap, not to mention travelling off island. 5 round trip tickets to UK will set us back $7000 a time.
However I did sit down with DH (who tries to avoid conflicting subjects) and I did explain to him that I'm not desperate for a third, however I need to come to the conclusion by myself that we should stick at two. Being told that I'm not allowed another makes me want to stamp my feet and shout "this is my dream you're taking away!" - I explained very calmly to him that I didn't feel done. I always wanted three, I loved being one of three and I'm not saying I want another now. I want to wait, I want to progress my career and see how I feel in 3 years or so. If the dynamic is perfect as it is, then I will have come to that conclusion by myself and made peace with the fact that we won't have a third.
But what made it easier to deal with was the fact that I could see DH processing it and actually understanding my point of view finally.
I'm 6 months after having DS2 and whilst I absolutely adore being in the baby stage and all that the first year brings, as he gets older I find myself getting myself back a bit more, and redefining myself as ME rather than a working mum who walks around with spit up on my shoulder.
I think it's the cold and definitive way your DH is treating you that is most upsetting and having been on the receiving end of that treatment (when DH thought I would badger him into a third immediately if he even thought of discussing it!) I think that is what is most damaging and what you're fighting against. I think he's being unreasonable not because he doesn't want a fourth child, but because he's refusing to acknowledge how difficult it is for a woman who currently defines herself by her motherhood to come to terms with. He needs to understand that by not discussing it, or allowing you an outlet for your feelings, it is damaging your marriage.