Max did this too around 14 months. I wanted to keep going, so I continued to offer. After this last strike, he has started REALLY liking breastfeeding and I don't see an end in sight.
Knowing your feelings on it, I suggest you stop offering and see what he does. ( :shock: I know, I know, I surprise myself just typing it) Keep him distracted, and keep offering his sippy and healthy snacks. Since you are ready to wean, and you are at a natural weaning point or nursing strike, go with it.
You have done so well by him, keeping up nursing when you didn't want to, doing what was best for his health. You deserve a huge hug and pat on the back, Minerva. I'm so impressed!