In a medium bowl, sift together flours, baking soda, baking powder, salt, and cardamom.
Using a stand mixer with a paddle attachment, cream together butter and sugars for about 5 minutes, or until very light.
Add eggs, one at a time, stirring well after each addition. Add in the orange and vanilla extracts.
Reduce speed to low, and mix in dry ingredients until just combined. Add chocolate chips and mix to combine.
Cover dough with plastic wrap, pressing wrap down to surface of dough. Refrigerate for 24-36 hours.
After dough has had enough time to rest, preheat oven to 350 degrees. Line a baking sheet with parchment paper or a nonstick baking mat.
Scoop six 3 1/2-ounce mounds of dough onto baking sheet. Lightly sprinkle a small amount of sea salt over each cookie. Bake until golden brown but still soft, about 18-20 minutes. Cool on baking sheet for 10 minutes, then transfer cookies to wire cooling rack.