I read the first paper. its the energy budget and climate model speculation. its biased guess work. as we just showed you the models can't properly account for clouds.
"Here we present an alternative attribution method that relies on the
principle of conservation of energy, without assumptions about
spatial warming patterns. Based on a massive ensemble of
simulations with an intermediate-complexity climate model we
demonstrate that known changes in the global energy balance
and in radiative forcing tightly constrain the magnitude of
anthropogenic warming."
In other words we set up our model so that it finds limited natural warming.
2. the second paper makes an interesting assumption... it just assumes away cosmic rays as a cause for warming... However we just showed a page or 2 ago a study which showed that cosmic rays cause clouds and may be responsible for a large part of the warming. Using the approach these authors used you would just assume away co2 as the cause of warming because co2 levels trail change in ocean temps and change in temperature.
here is the quote from your paper...
"The cyclic variation in the cosmic ray rate is observed
to be delayed by 2-4 years relative to the temperature, the solar irradiance and daily sunspot variations suggesting that the origin of the correlation is more likely to be direct solar activity than cosmic rays. Assuming that the correlation is caused by such solar activity, we deduce that the maximum recent increase in the mean surface temperature of the Earth
which can be ascribed to this activity is .14% of the observed global warming.?