Pat the short ribs dry with a paper towel.
Season the beef on all sides with 2 tsp of salt and ¼ tsp of pepper.
Add the flour to a bowl and coat the ribs with it on all sides; keep the leftover flour.
Add the oil to a Dutch oven and heat over medium-high heat. Sear the meat on all sides until browned, about 3–4 minutes, then remove it from the Dutch oven and add to a slow cooker.
To the dutch oven with all the browned bits, add butter, onion, carrots, celery, and garlic. Cook down for a few minutes.
Add tomato paste, wine, and beef stock to the pot, then scrape up all the browned bits at the bottom of the pan.
Transfer the vegetable and liquid mixture to the slow cooker.
Stir in leftover flour.
Cook on low for 7-8 hours or on high for 4-5 hours.
Remove the vegetables from the stew.
Serve, and enjoy friends.