Despite what you might hear on a weather report, wind chill isn't actually a measure of how cold the air feels.
A wind chill temperature is, rather, a calculation of how cold it would have to be to cause the same rate of heat loss from your skin if there were no wind blowing.
Wind chill approximates how cold it feels because the rate of heat loss corresponds with skin temperature, and skin temperature is what our nerves sense.
Confused -- follow this link to the actual mathematical formula that actually calculates the wind chill.