Peel the cucumbers in alternating stripes (optional; you could leave the full peel on if you prefer). Scoop out the seeds. Then slice the cucumbers in half first, then slice into little half moons (see photos).
Gently toss the sliced cucumbers with 1 teaspoon of the kosher salt (set the other ½ teaspoon of salt aside). Place the salted cucumber slices in a colander over a paper towel and let it sit for 30 minutes. This helps draw out excess moisture. At the end of 30 minutes, blot the cucumbers dry with a paper towel.
Place the cucumbers in a bowl. Then toss together with the remaining ½ teaspoon of salt, white wine vinegar, olive oil, chopped mint, sugar, and black pepper. Serve immediately.
Notes
Makes approximately 4-5 small side salad servings. Storage: This salad is best eaten fresh, soon after it is made, while the cucumbers are still crunchy. However, you can store it in an airtight container in the refrigerator for up to 2 days. If you store it, you'll need to stir it up before serving, as the oil might settle.