Quarter and core the washed cabbage and cut into fine strips. Season with salt, pepper, nutmeg, and vinegar, and mix thoroughly. Place in a well buttered casserole and bake in moderate (350 °F) oven for approx. 45 minutes. Peel, core, and slice the apples. Stir apples and maple syrup into the cabbage and cook 30 minutes. Serve in the casserole.