This is working from the channels web-site on the programme, as I didn't have a chance to see it, but the general approach seems to be ' Science hasn't explained every little change in climate for the last 13,000 years, and they weren't anthropogenic, so the current changes in climate isn't anthropogenic either.
There is a distinct absence of data, and there isn't even a mention of the Milankovitch Hypothesis, which has successfully explain the pattern of ice ages for the last few million years.