Mr. Anderson - We know the greenhouse effect exists because if Earth's atmosphere didn't contain such heat-absorbing gases in such amounts, Earth surface would have remained frozen, worse even than during the ice age when atmospheric greenhouse gases were much lower.

Now we see that the greenhouse gas volumes contained within the Earth's atmosphere have been growing as a direct consequence of we humans burning billions of tons of carbon-based fuel, and there we might expect that the temperature condition of the Earth's land and ocean surfaces ought continue to warm, which they have. I submit to you that a complex mathematical theory is not required to prove this relationship as valid. All it takes is a bit common sense, something which you appear to be short on based on the rest of your comments.