In a small bowl, whisk together the tomato paste and chicken stock until well blended. Set aside.
In a 6 quart dutch oven or pot, heat olive oil over medium-high heat.
Add onions and saute for five minutes, until they're soft.
Add garlic and saute until fragrant, about one minute.
Add ground beef and cook until browned, about ten minutes.
Add the chicken stock mixture, diced tomatoes, salt, and black pepper to taste to the pan and stir to combine.
Mix in the chopped cabbage. You may need to add a little at a time. Otherwise, you'll end up with a big ole mess.
Let come to a boil, cover, and lower the heat to a simmer. Let simmer for 30 minutes.