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KLAMarine said:

Are the two statements incompatible?

That depends on the implication ... 

KLAMarine said:

Of course not but if all we have is a century's worth of data, what's wrong with using that to predict the trend in the coming century?

Our weather forecasts aren't even accurate when going beyond a month when we've had decades of past data to boot so how can one century's worth of data ever be enough to tell if there's a trend when Earth's climate is highly variable and erratic ? (you'd at least need 1000 years worth of data to even get a hint and geologists learned that the hard way when they discovered ice ages still persisted with CO2 concentrations that were 10x higher than it is today) 

Even if anthropogenic global warming is happening there's a limit to our fossil fuel reserves while our biosphere grows bigger and starts reabsorbing all those emissions again and starts forming sediments ...