The definition of Thermogenesis is - the generation of heat by the body and is a reflection of how much energy the body is spending. Energy = Calories - the more energy the body produces, the more calories you burn. Also, I was referring to increased BODY heat, not ambient air temperature, although that does have an impact. And yes, when we have increased BODY heat, we will burn more calories. That's what adaptive thermogenesis is all about.
In a cold environment, we shiver and use our brown fat stores to release energy, therefore, increasing our body temperature. That is how the body naturally increases it temperature to ensure that the body is warm - in the process, you burn calories.
Why do you think that you will burn less calories in a rubber suit compared to not wearing one? If you have ever wore a rubber suit, you sweat no matter where you are and if you have never roofed before in the heat, then you have no idea as to how hot the body gets and how many calories you are burning with all the sweat dripping off your head and soaking your back. We can also burn daily calories by causing dietary-induced thermogensis, so why do you think that heat does not have an effect?
I worked with wrestler's and they live by losing weight by wearing rubber suits, sitting in saunas, and sweating their asses off to cut weight for a meet. This has been a successful method (albeit not a safe one) for numerous years, so it is hard to argue with proven efficacy. Since you seem to disagree with this principal, please provide HardBody and the other readers with a more "accurate" principal to explain your logic. I have attempted to explain mine based upon practical, real life experiences of athletes and 17 years of knowledge in this field.