Once again, if Dr. Latour understood the second law refers to net heat, he'd agree that adding a cold plate makes the heated plate lose heat slower. That's okay because net heat still flows from hot to cold, i.e. more heat moves from hot to cold than vice versa.
Again, he must have forgotten this nebulous correction which you still haven't linked. I linked to an archive of his blog post that I made yesterday, but here's another archive I just made showing that his blog post is still live today and still contains nonsense like this: "k is the fraction of re-radiation from the second bar absorbed by the first hotter bar... k must be identically zero, so no cold back-radiation is absorbed and T remains 150. Quod Erat Demonstrandum, QED."
He's completely wrong. The hotter bar absorbs cold back-radiation, and T does not remain 150F. That's why I refuted Dr. Latour by showing that a completely enclosed heated plate reaches an equilibrium temperature of 235F (386K), which is less than the infinite temperature he claimed.
Apparently unlike you, sir, I have a basic understanding of math and physics. Please explain to us all where the Stefan-Boltzmann radiation law is in error. I am sure we would all love to know. [Jane Q. Public, 2012-11-20]
Again, the greenhouse effect is based on the Stefan-Boltzmann law. As I've explained: greenhouse gases re-emit some of [the upwelling long-wave IR], and it bounces around the troposphere until it gets to a height known as the "effective radiating level". Above this height (roughly 7km), there aren’t enough greenhouse gases to keep "most" of the IR from escaping to space altogether. This effective radiating level controls the outflow of heat from the Earth. Stefan-Boltzmann tells us that power radiated is proportional to temperature^4, and temperature decreases with height in the troposphere. Adding greenhouse gases raises the height of this effective radiating level, where it is cooler, which therefore decreases the outflow of heat from the Earth. This is the greenhouse effect, and it isn’t saturated because the effective radiating level can just keep getting higher (e.g. Venus).
Andrew Dessler also explains how the greenhouse effect depends on the Stefan-Boltzmann law. He even explains that an isothermal atmosphere wouldn't have a greenhouse effect: the Slayers' holy grail! Ironically, the greenhouse effect disappears if the upper troposphere isn't colder than the surface. The cold upper troposphere isn't a problem for the greenhouse effect. It's a fundamental requirement, along with the Stefan-Boltzmann law.