I found this convincing
if the quantity of carbonic acid increases in geometric progression, the augmentation of the temperature will increase nearly in arithmetic progression
But this attenuation is offset by increasing positive feedbacks, the biggest single one being more greenhouse from the increased water vapour held in a warmer atmosphere, resulting in a more linear curve. The idea that the spectrum is saturated is just nuts, and a runaway feedback loop - or the Venus Effect - is unlikely due to Stephan-Boltzmann law which states that irradiance increases with the fourth power of temperature.
RealClimate: A Saturated Gassy Argument
Dessler et al 2008 - water vapour feedback has been observed, measured and found to be inline with the models.
The existence of a strong and positive water-vapor feedback means that projected business-as-usual greenhousegas emissions over the next century are virtually guaranteed to produce warming of several degrees Celsius. The only way that will not happen is if a strong, negative, and currently unknown feedback is discovered somewhere in our climate system.
Svante Arrhenius - New World Encyclopedia
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