Up to some absurd temperature (i.e this probably isn't true if you're standing in a bunch of exhaust from a jet engine or a metal casting operation) increased airflow will make sweating more efficient enabling you to shed heat faster than the difference between static and moving air heats you up. Even before air conditioning fans were (and still are) popular in the tropics for this reason.

Feel free to go up in your attic or some other 100+deg (freedom degrees, obviously with a box fan if you don't believe me. I assure you it will be more pleasant with the box fan.