Hypothesis to be proved: The greater the amount of sweat on the human body the greater the cooling effect.
Premise 1: Evaporation, convection, conduction, and radiation are all factors leading to a cooling effect. Radiation is based upon the dilation of the blood vessels and so is not relevant to this proof.
Premise 2: The greater the relative humidity the less that will be evaporated in any given time span. If the RH is 100%, there is no available moisture to be given to the surrounding air. Hence, “It ain’t the heat; it’s the humidity.”
Premise 3: Convection and evaporation will be affected by the wind speed. Conduction will be affected by the temperature differential between the surface of the body and the surrounding air.
At any given time frame, the RH, wind speed, and temperature differential will be the same. So, we can disregard the cooling effects of convection, conduction, and radiation.
Since, therefore, the rate of evaporation is dependent upon the RH, at any given time span with any given RH, the amount of evaporation depends upon the amount of water available to evaporate. The amount of evaporation is a factor in the cooling effect.
Therefore, the greater the amount of sweat on the human body, the greater the cooling effect. QED.