rickyp wrote:CO2 and other greenhouse gases trap more solar radiation in the atmosphere...
Not quite true. The energy we get from the sun that ends up as heat here on earth comes in the form of light. The atmosphere in general and CO2 and other greenhouse gasses are largely transparent to visible light. When that light hits a dark object it warms it. That object then radiates the heat in the infrared wavelengths, and the greenhouse gasses are less transparent to energy in that form. They absorb some of it, which energizes those molecules, which has the effect of heating the atmosphere. Infrared radiation (heat) is emitted by objects at the surface of the earth (and clouds, etc.) regardless of what heated them. It doesn't have to have been "solar radiation" (by which I assume you meant visible light since UV, X-Rays, Gamma waves and radio waves don't create what we call heat). The earth has its own source of heat. Radioactive decay generates heat and some of that radiates away in the IR and CO2 molecules can't tell the difference between IR created that way versus IR caused by something being heated by the sun.

In the above diagram, the orange 33 PW line represents solar energy converted to heat within the atmosphere due to the fact that the atmosphere isn't 100% transparent. It isn't greenhouse gasses primarily at work at this stage, but rather water vapor and dust and whatnot. Yellow is solar radiation (light waves) and red is radiating heat (Infrared). Orange is heat held within a mass, in this case the atmosphere. It's that second orange arrow, the one numbered 26, that concerns us with AGW. This is the
heat absorbed by greenhouse gasses and other things up there. Greenhouse gasses are called that because they are particularly good at absorbing IR. When the atmosphere gets more greenhouse gasses it can absorb more heat radiating away from the earth. Normally, that heat would radiate right through and out into space, as indicated by the red arrow quantified as 10 PW. If, instead of escaping the planet altogether, marginally more IR is absorbed in the atmosphere, the atmosphere warms. It, in turn, radiates more heat. We feel some of that on the surface (not depicted in the diagram), some escapes to space, and some gets re-absorbed by the atmosphere.
More greenhouse gas = less energy in the form of IR escaping to space. That's what global warming is all about. There's no question that, everything else being equal, adding CO2 and other greenhouse gasses to the atmosphere means less IR energy escaping to space. So unless we have less energy coming in (a less energetic sun, less radioactive decay in our core) or in some other way make up for the excess (i.e. more of the certain types of clouds that cause the yellow line at 35 PW), we get warmer. By "we" I mean the planet as a whole, which includes oceans, atmosphere and everything else.
The questions then become:
• How much extra heat?
• Where is it?
• What happens because of it?
One might also question whether the excess greenhouse gasses are coming from human activity or from some other source, but there's no question that we create such gasses in large quantities.
BTW, there's one other partial explanation for why AGW leads to "extreme weather". Just partial. Think about what constitutes "normal" weather for Seattle, WA versus what's normal for Las Vegas, NV. If these two locales were to somehow switch weather with each other, we'd be getting news reports of many broken records and lots of "extreme" weather - a horrible drought in Seattle and crazy flooding in Las Vegas, yet overall the
combined temps and precip for the two places might be completely normal. So... Anything that causes weather patterns to shift a little, or alters the typical path of the jet stream, or an ocean current, may create a certain amount of "extreme" weather without creating any
more "weather" than normal - just changing where or when it happens.
Obviously, two cities don't end up trading weather, but consider how different the "typical" conditions can be in two places that aren't far from each other, or are similar in many ways. For instance, Naples on the west coast of Italy is at the same latitude as the coast of California north of San Francisco, yet the weather is vastly different. In New Hampshire, Mt. Washington (highest peak in the state) at 6288 feet gets perhaps the craziest, most extreme weather on earth. But Mount Marcy (highest in New York State) at 5343 feet is as placid as could be. (I've climbed both - Mt. Marcy could be handled by my grandmother; on Mt. Washington I was nearly killed three different times on one climb.)