You have not identified any flaws in my logic. What you have shown us is your flawed understanding of greenhouse warming. The Earth's atmosphere is not "saturated" with greenhouse gases. You are attempting to argue that all the IR radiated at the surface gets absorbed by the atmosphere before leaving the planet and therefore adding more CO2 cannot increase the amount absorbed. Right? Wrong. The IR from the surface is absorbed and then reradiated. It gets absorbed again a little higher in the atmosphere and then reradiated. This goes on and on until the energy finally escapes to space. Adding more CO2 shortens the distance radiated IR travels before being reabsorbed, slowing the rate at which it transits the atmosphere. Thus the energy content of the atmosphere increases and its temperature, rises.
As temperature increases, more carbon dioxide molecules will absorb and simply retain the energy, not re-emitting ... in order to remain in equilibrium with it's environment by the 2nd law of thermodynamics ... thus as temperature goes up, carbon dioxide absorbs less energy in the IR bands we're discussing right now ... 15 µm specifically ... once the 15 µm photon smacks our molecule, the molecule jumps to it's higher quantum state, the molecule can't absorb anymore 15 µm photons until after it has shed that energy ... so as more and more carbon dioxide exists in this higher state, the 15 µm energy passes right on through ...
Carbon dioxide's effect on temperature is reduced as temperatures increases ... or so the IPCC report says (WG1 Fig 12-5 and associated text) ...
Very, very little of the costs of global warming have been spent. By the end of this century, some 200 million people will have to be relocated. And keep in mind, this means that we will LOSE their homes and work sites and retail support civic infrastructure and everything else and THAT IT WILL HAVE TO ALL BE BUILT ANEW, SOMEWHERE ELSE.
Hold on a second ... there's a very good chance there will be 8 billion more people in this world by end-of-century ... there's going to be one hell of a lot more people who need to be relocated than a measly 200 million ... besides, sea level is only expected to rise 22 inches by year 2100, something easier to mitigate than building a road ... we built 44,000 miles of Interstate freeways in 30 years, we can build 10,000 miles of three foot sea walls just as quickly, and much more cheaply ...
Someday we will run out of inexpensive fossil fuels ... and have to start paying for expensive fossil fuels ... that cost will be far and away more expensive than the costs of GW ... frankly, a 2ºC temperature increase will be the least of our worries 100 years from now ...
Have you seen the price of base metals lately? ...