So SB supports the Greenhouse effect. Good to know.Carbon dioxide is part of the emissivity of the atmosphere in the greybody form of SB ...
T^4 = S ( 1 - a ) / 4eo ... [where T=temperature, S=solar constant, a= albedo, e = emissivity and o = SB constant]
Emissivity is a dimensionless ratio where 1 = transparent and 0 = opaque ... AGW Theory predicts that increasing GHG decreases the transparency of air, it's emissivity; thus increasing temperature ... high school algebra ...
Right ... this is discontinuous at 0 ... all we can say is that when e approaches zero, temperature approaches infinity ... except it's not a radiator, this surface would retain all the energy it receives ...