To clean the artichokes, first pull away and discard the outer leaves until all that remains is the very light, tender inside leaves. Using a sharp knife, cut off and discard the tips of the remaining leaves and all the dark parts.
Pour the lemon juice into a large bowl. Slice the trimmed artichokes thinly and add to the lemon juice, tossing well. Add the celery, onion, parsley, capers, oil, Tabasco, and salt and pepper to taste.
Serve the salad at room temperature or transfer to a skillet and cook over medium heat for 2 minutes to warm slightly.