But everyone knows that any global cooling will be caused by global warming.

More importantly, the IPCC isn't allowing for any possible cooling in the future, so therefore it's not likely it will happen.

While I'm here.
"Macrofossil analysis and radiocarbon dating of peat cores has been used to reconstruct the permafrost distribution in western Canada 6000 years ago. The results of this analysis suggest that mean annual temperatures were about 5°C warmer than present and the southern limit of permafrost was 300 to 500 km northward of its current position. Much of the present discontinuous permafrost zone may have been free of permafrost. Where permafrost did exist during this time, active layer thickness was probably greater than at present. Many thermokarst lakes also developed in the Mackenzie Delta during this time."
http://www.socc.ca/permafrost/permafrost_hist_e.cfm