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Set a large dutch oven over medium-high heat. Add olive oil; when it starts to shimmer, add onion, carrots, celery, turnip, red pepper flakes, and several pinches sea salt. (Flavors will concentrate as dish cooks and t's best salted a little at a time.) Cook, stirring often, until vegetables are soft, about 10 minutes.
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Pour in wine and tomato paste, and stir. Fold in mushrooms, garlic, a pinch of sea salt, and water. Heat mixture until it bubbles gently, then turn down to medium-low and cook, stirring often, for 20 minutes.
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Meanwhile, bring a large pot of salted water to a boil and cook paste to al dente. Reserve several cups pasta water for plating.
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Just before serving, stir in Parmesan, cream, and herbs, and cook 5 minutes. Taste, and adjust salt levels as needed.
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Twist pasta onto plates, using a splash of pasta water as needed to loosen it, and top with several spoonfuls bolognese. Top with grated Parmesan and a pinch of minced fresh herbs. Serve immediately.