But this does not apply to our earths atmosphere, does it? Are there any possible real cases where CO2 in the atmosphere could change its concentration and nothing else changes. I don't think so. So if you assume that nothing else changes you will nicely predict something other than what you would like to predict.
Addressing one point at a time:
Whatever else is happening doesn't change the fact that increasing the CO2, increases the amount of heat that is reflected back to Earth.
Again, give us an example where something else happening, will cause the reflective properties of the CO2 molecule to stop reflecting.
Ok, two points:
There is more than an atmosphere alone. There is also a planet in contact with that atmosphere.
It's a system, bounded by the atmosphere. Heat entering the system ...
enters the system. This is physics. Nothing can change that. Whatever else is in the system, doesn't change the fact that heat entered the system.
The heat will disperse within the system, or escape into outer space.
When you run your air conditioning, you don't make cold air, you move heat from one system, your home, to the enclosing system, the atmosphere. The heat didn't vanish.
Ok, three points:
Other factors are hugely important! This is why no one has yet successfully modeled the Earth climate.
This is why I said earlier that debates about global warming make little progress: the basics aren't understood by those doing the debating.
There are a lot of important factors on the surface. None of them override Thermodynamics and the conservation of heat/energy.
Facts:
1. Some heat is caused by the Sun.
2. Some of that heat is reflected into space.
3. CO2 prevents some of that heat from being reflected into space.
4. As CO2 increases, less heat is reflected into space.
This happens, period. Nothing on the planet stops the molecule CO2 from reflecting heat. Nothing on the planet stops the Sun from causing heat.
This is fundamental to that "important" stuff you speak of. The fundamentals must be understood and agreed upon first.